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Milman, Mario (ed.) et al., Geometric potential analysis. Selected papers based on the presentations at the special session, virtual, July 15–16 and 19, 2021. Berlin: De Gruyter. Adv. Anal. Geom. 6, 49-77 (2022).

Reviewer: Jan Rozendaal (Warszawa)

MSC: 47B90 47G40 42B30 42B35

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Anh, Cung The; Toi, Vu Manh; Tuan, Tran Quoc

Lipschitz stability in inverse source problems for a singular parabolic equation. (English) Zbl 1494.35103

Appl. Anal. 101, No. 8, 2805-2824 (2022).

MSC: 35K67 35A23 35K20 35R30

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Wang, Weibing; Zuo, Xiaoxin

Global bifurcation for nonlinear elliptic problems with gradient term. (English) Zbl 1519.35022

Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 68, 15 p. (2022).

MSC: 35B32 35J25 35J61 35J75

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El Ouardy, Mounim; El Hadfi, Youssef; Sbai, Abdelaaziz

Existence of positive solutions to nonlinear singular parabolic equations with Hardy potential. (English) Zbl 1490.35211

J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 28, 32 p. (2022).

MSC: 35K67 35K20 35K59 35K92 35B09 35B45 35B65 35A21

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Liu, Jiu; Duan, Yu; Liao, Jia-Feng

Bound state solutions for a class of Nonlinear Elliptic Equations with Hardy potential and Berestycki-Lions type conditions. (English) Zbl 1490.35183

Appl. Math. Lett. 130, Article ID 108010, 5 p. (2022).

MSC: 35J91 35J05 35J20

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Han, Yuzhu

Blow-up phenomena for a reaction diffusion equation with special diffusion process. (English) Zbl 1487.35118

Appl. Anal. 101, No. 6, 1971-1983 (2022).

MSC: 35B44 35K20 35K57 35K67

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Kim, Soojung; Lee, Youngae

Finite Morse index solutions of the fractional Henon-Lane-Emden equation with Hardy potential. (English) Zbl 1486.35435

Taiwanese J. Math. 26, No. 2, 251-283 (2022).

MSC: 35R11 35B35 35B33 35B45 35B53 35B65 35J61

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Qin, Dongdong; Lai, Lizhen; Tang, Xianhua; Wu, Qingfang

Existence and asymptotic behavior of ground states for Choquard-Pekar equations with Hardy potential and critical reaction. (English) Zbl 1485.35345

J. Geom. Anal. 32, No. 5, Paper No. 158, 44 p. (2022).

Reviewer: Marius Ghergu (Dublin)

MSC: 35Q55 35Q40 35J20 35J60 46N50

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Okada, Izumi; Yanagida, Eiji

Probabilistic approach to the heat equation with a dynamic Hardy-type potential. (English) Zbl 1480.60193

Stochastic Processes Appl. 145, 204-225 (2022).

MSC: 60H30 35K57 35K67 60J65 35K15 60J55

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Meda, Stefano; Veronelli, Giona

Local Riesz transform and local Hardy spaces on Riemannian manifolds with bounded geometry. (English) Zbl 1482.42056

J. Geom. Anal. 32, No. 2, Paper No. 55, 57 p. (2022).

MSC: 42B30 42B35 58C99 53C20

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Attar, Ahmed; Mamchaoui, Mohamed

Some existence results for a fractional problem involving Hardy potential and variable exponent singular term. (English) Zbl 1482.35243

J. Pseudo-Differ. Oper. Appl. 13, No. 1, Paper No. 7, 24 p. (2022).

MSC: 35R11 35J25 35J75 35A21 35S15

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Yu, Yang; Zhao, Yulin; Luo, Chaoliang

Ground state solution of critical \(p\)-biharmonic equation involving Hardy potential. (English) Zbl 1481.35159

Bull. Malays. Math. Sci. Soc. (2) 45, No. 1, 501-512 (2022).

MSC: 35J30 35A01 35J35

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Hu, Die; Zhang, Qi

Existence ground state solutions for a quasilinear Schrödinger equation with Hardy potential and Berestycki-Lions type conditions. (English) Zbl 1479.35274

Appl. Math. Lett. 123, Article ID 107615, 7 p. (2022).

MSC: 35J10 35J62 35A01

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Sekin, Çağla

A generalization of parabolic potentials associated to Laplace-Bessel differential operator and its behavior in the weighted Lebesque spaces. (English) Zbl 1509.47075

Turk. J. Math. 45, No. 1, 566-578 (2021).

MSC: 47G40 47G10 26A33

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Huseynova, Aygun N.

Hardy-Littlewood-Stein-Weiss inequality in the generalized Morrey spaces. (English) Zbl 1513.42082

Aligarh Bull. Math. 40, No. 2, 1-10 (2021).

MSC: 42B25 42B20 42B35

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Azroul, Elhoussine; Bouziani, Mohammed; Barbara, Abdelkrim

Existence of entropy solutions for anisotropic quasilinear degenerated elliptic problems with Hardy potential. (English) Zbl 1481.35220

S\(\vec{\text{e}}\)MA J. 78, No. 4, 475-499 (2021).

MSC: 35J70 35J62 35A01

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Mukherjee, Debangana; Nam, Phan Thành; Nguyen, Phuoc-Tai

Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential. (English) Zbl 1483.35218

J. Funct. Anal. 281, No. 5, Article ID 109092, 45 p. (2021).

MSC: 35Q55 35B44 35A02 35A15 35Q40

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Dolbeault, Jean; Esteban, Maria J.; Loss, Michael

Critical magnetic field for 2D magnetic Dirac-Coulomb operators and Hardy inequalities. (English) Zbl 1480.81044

Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 41-63 (2021).

MSC: 81Q10 46N50 81Q05 47A75 47B25

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Deng, Yanhua; Tan, Zhong; Xie, Minghong

Dynamical boundary problem for Dirichlet-to-Neumann operator with critical Sobolev exponent and Hardy potential. (English) Zbl 1478.35221

Nonlinear Anal., Real World Appl. 62, Article ID 103346, 22 p. (2021).

MSC: 35R11 35B33 35J25 35J65

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Itakura, Kenta; Tanaka, Satoshi

A note on the asymptotic behavior of radial solutions to quasilinear elliptic equations with a Hardy potential. (English) Zbl 1479.35482

Proc. Am. Math. Soc., Ser. B 8, 302-310 (2021).

MSC: 35J92 35B40 34C10

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Bhakta, Mousomi; Mukherjee, Debangana; Nguyen, Phuoc-Tai

Multiplicity and uniqueness for Lane-Emden equations and systems with Hardy potential and measure data. (English) Zbl 1479.35459

J. Differ. Equations 304, 29-72 (2021).

MSC: 35J91 35J25 35J57 35A01

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Hoepfner, G.; Kapp, R.; Picon, T.

On the continuity and compactness of pseudodifferential operators on localizable Hardy spaces. (English) Zbl 1476.35350

Potential Anal. 55, No. 3, 491-512 (2021).

Reviewer: Luigi Rodino (Torino)

MSC: 35S05 42B15 42B30 46E35

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Bonheure, Denis; Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael

Inequalities involving Aharonov-Bohm magnetic potentials in dimensions \(2\) and \(3\). (English) Zbl 1499.81058

Rev. Math. Phys. 33, No. 3, Article ID 2150006, 29 p. (2021).

MSC: 81Q70 81Q10 35Q60 35Q40 49K30 35P30 35J10 35Q55 46N50 35J20

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Tanaka, Ken’ichiro; Sugihara, Masaaki

Construction of approximation formulas for analytic functions by mathematical optimization. (English) Zbl 1474.41006

Baumann, Gerd (ed.), New sinc methods of numerical analysis. Festschrift in honor of Frank Stenger’s 80th birthday. Based on the presentations at the symposium, Rhodes, Greece, September 13–18, 2018. Cham: Birkhäuser. Trends Math., 341-368 (2021).

MSC: 41A05 41A55 65D15 65D30

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Chen, Huyuan; Weth, Tobias

The Poisson problem for the fractional Hardy operator: distributional identities and singular solutions. (English) Zbl 1473.35624

Trans. Am. Math. Soc. 374, No. 10, 6881-6925 (2021).

MSC: 35R11 35J25 35J75 35B40

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Metoui, Imen

Generalized Ornstein-Uhlenbeck operators perturbed by multipolar inverse square potentials in \(L^2\)-spaces. (English) Zbl 07394764

Arch. Math. 117, No. 4, 433-440 (2021).

Reviewer: Nikita V. Artamonov (Moskva)

MSC: 47D06 47F05 47B12 35B25 35B20 34G10

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Found 537 Documents (Results 1–100)

Combined effects of singular and Hardy nonlinearities in fractional Kirchhoff Choquard equation. (English) Zbl 07925042

Existence and nonexistence results for higher order evolution inequalities posed outside the half-ball. (English) Zbl 07920738

Ground state solutions of Nehari-Pankov type for a indefinite Choquard equation with the Hardy potential and critical nonlinearity. (English) Zbl 07920130

On semilinear elliptic equations with Hardy-Leray potentials. (English) Zbl 07919755

The impact of a singular first-order term in some degenerate elliptic equations involving Hardy potential. (English) Zbl 07919743

Existence and non-existence of minimizers for Hardy-Sobolev type inequality with Hardy potentials. (English) Zbl 07916260

A system of wave inequalities with inverse-square potentials in an exterior domain. (English) Zbl 07915841

A molecular reconstruction theorem for \(H^{p(\dot)_{\omega}}(\mathbb{R}^n)\). (English) Zbl 07915708

Singular \(p\)-biharmonic problem with the Hardy potential. (English) Zbl 07908537

Fujita exponent for non-local parabolic equation involving the Hardy-Leray potential. (English) Zbl 07901405

Existence results in weighted Sobolev space for quasilinear degenerate \(p(z)\)-elliptic problems with a Hardy potential. (English) Zbl 07895291

Multiple solutions for an elliptic equation with Hardy potential and critical nonlinearity on compact Riemannian manifolds. (English) Zbl 07867042

Estimates of discrete Riesz potentials on discrete weighted Lebesgue spaces. (English) Zbl 1540.42041

Existence and regularity of solutions of nonlinear anisotropic elliptic problem with Hardy potential. (English) Zbl 07856627

Nonexistence for higher order evolution inequalities with Hardy potential in \(\mathbb{R}^N\). (English) Zbl 1541.35574

Controllability and stabilization of a degenerate/singular Schrödinger equation. (English) Zbl 1539.93020

On the generalized Ornstein-Uhlenbeck operators with regular and singular potentials in weighted \(L^p\)-spaces. (English) Zbl 1540.47063

Relativistic stable operators with critical potentials. (English) Zbl 1536.35171

On the critical behavior for a Sobolev-type inequality with Hardy potential. (English. French summary) Zbl 1535.35223

Higher order evolution inequalities involving Leray-Hardy potential singular on the boundary. (English) Zbl 1534.35345

Leray-Lions type \(p(x)\)-biharmonic equations involving Hardy potentials. (English) Zbl 1532.35156

Best constants in bipolar \(L^p\) Hardy-type inequalities. (English) Zbl 1526.35192

Hardy-Littlewood-Stein-Weiss type theorems for Riesz potentials and their commutators in Morrey spaces. (English) Zbl 07897352

Nonlinear elliptic boundary value problems with convection term and Hardy potential. (English) Zbl 07836917

Fractional KPZ equations with fractional gradient term and Hardy potential. (English) Zbl 1535.35198

Qualitative properties of solutions to the Dirichlet problem for a Laplace equation involving the Hardy potential with possibly boundary singularity. (English) Zbl 1539.35110

Hardy potential versus lower order terms in Dirichlet problems: regularizing effects. (English) Zbl 1537.35161

Two-weight dyadic Hardy inequalities. (English) Zbl 1536.31036

Hardy-Sobolev inequalities for Riesz potentials of functions in Orlicz spaces. (English) Zbl 07794380

Inequalities for weighted spaces with variable exponents. (English) Zbl 1530.42038

Improved \(L^p\)-Hardy and \(L^p\)-Rellich inequalities with magnetic fields. (English) Zbl 1531.35022

Semilinear hyperbolic inequalities with Hardy potential in a bounded domain. (English) Zbl 1528.35243

On BMO and Hardy regularity estimates for a class of non-local elliptic equations. (English) Zbl 1527.35474

Infinitely many positive energy solutions for an elliptic equation involving critical Sobolev growth, Hardy potential and concave-convex nonlinearity. (English) Zbl 1526.35183

Two disjoint and Infinite sets of solutions for a nonlocal problem involving a Hardy potential and critical growth with concave nonlinearities. (English) Zbl 1525.35129

The Hardy inequality and large time behaviour of the heat equation on \(\mathbb{R}^{N - k} \times ( 0 , \infty )^k\). (English) Zbl 1540.35013

Normalized ground state for the Sobolev critical Schrödinger equation involving Hardy term with combined nonlinearities. (English) Zbl 1523.35139

On the existence and multiplicity of solutions for a class of sub-Laplacian problems involving critical Sobolev-Hardy exponents on Carnot groups. (English) Zbl 1523.35130

Weighted estimates of the unilateral potentials. (English) Zbl 07741261

Sub-elliptic problems with multiple critical Sobolev-Hardy exponents on Carnot groups. (English) Zbl 1522.35269

Quasilinear class of noncoercive parabolic problems with Hardy potential and L1-data. (English) Zbl 1519.35062

Existence of ground state solutions for Kirchhoff problems with Hardy potential. (English) Zbl 1520.35081

Construction of rational interpolations using Mamquist-Takenaka systems. (English) Zbl 1524.42052

On criticality coupled sub-Laplacian systems with Hardy type potentials on stratified Lie groups. (English) Zbl 1518.35604

Existence and asymptotic behavior of solutions for Choquard equations with singular potential under Berestycki-Lions type conditions. (English) Zbl 1522.35482

On nonlinear fractional Schrödinger equations with indefinite and Hardy potentials. (English) Zbl 1522.35474

Self-similar solution for Hardy operator. (English) Zbl 07694902

Struwe compactness results for a critical \(p\)-Laplacian equation involving critical and subcritical Hardy potential on compact Riemannian manifolds. (English) Zbl 1519.58009

Improved Poincaré-Hardy inequalities on certain subspaces of the Sobolev space. (English) Zbl 1525.46022

Nonlinear nonlocal Douglas identity. (English) Zbl 1516.31025

Optimal Hardy inequalities for Schrödinger operators based on symmetric stable processes. (English) Zbl 1521.60044

Self-similar solutions preventing finite time blow-up for reaction-diffusion equations with singular potential. (English) Zbl 1511.35068

The double layer potential operator on Hardy spaces. (English) Zbl 1524.42027

Existence and regularity for a general class of quasilinear elliptic problems involving the Hardy potential. (English) Zbl 1511.35170

Existence of solutions to fractional elliptic equation with the Hardy potential and concave-convex nonlinearities. (English) Zbl 1506.35270

Hardy’s identities and inequalities on Cartan-Hadamard manifolds. (English) Zbl 1505.26031

Existence of stable standing waves for the nonlinear Schrödinger equation with the Hardy potential. (English) Zbl 1501.35365

A special self-similar solution and existence of global solutions for a reaction-diffusion equation with Hardy potential. (English) Zbl 1498.35141

The Brezis-Nirenberg problem for fractional systems with Hardy potentials. (English) Zbl 1529.35221

On the existence of solutions of a critical elliptic equation involving Hardy potential on compact Riemannian manifolds. (English) Zbl 1521.58008

Semilinear heat equation with singular terms. (English) Zbl 1524.35288

Hardy factorization in terms of fractional commutators in Lorentz spaces. (English) Zbl 1509.42035

Multipolar Hardy inequalities in \(L^p\)-spaces. (English) Zbl 1517.26016

Positive solutions for a relativistic nonlinear Schrödinger equation with critical exponent and Hardy potential. (English) Zbl 1501.35210

Hardy-Littlewood-Stein-Weiss inequality in the generalized Morrey spaces. (English) Zbl 1513.42051

Fractional Sobolev embedding with radial potential. (English) Zbl 1500.35304

Ground state solutions for critical Schrödinger equations with Hardy potential. (English) Zbl 1498.35260

On the generalized Ornstein-Uhlenbeck operators perturbed by regular potentials and inverse square potentials in weighted \(L^2\)-spaces. (English) Zbl 1519.47047

Reverse Stein-Weiss, Hardy-Littlewood-Sobolev, Hardy, Sobolev and Caffarelli-Kohn-Nirenberg inequalities on homogeneous groups. (English) Zbl 1519.43005

Boundary singularities of semilinear elliptic equations with Leray-Hardy potential. (English) Zbl 1501.35191

Existence and asymptotic behavior of solutions for a quasilinear Schrödinger equation with Hardy potential. (English) Zbl 1496.35361

Multiplicity of normalized solutions for nonlinear Schrödinger-Poisson equation with Hardy potential. (Chinese. English summary) Zbl 1513.35171

The asymptotic behavior and symmetry of positive solutions to \(p\)-Laplacian equations in a half-space. (English) Zbl 1513.35166

Multiplicity of positive solutions to a critical fractional equation with Hardy potential and concave-convex nonlinearities. (English) Zbl 1495.35203