Found 5,423 Documents (Results 1–100)
Multiplicity of positive solutions for mixed local-nonlocal singular critical problems. (English) Zbl 07927406
Variational method to the fractional impulsive equation with Neumann boundary conditions. (English) Zbl 07924352
Multiple solutions for nonhomogeneous Klein-Gordon equation with sign-changing potential coupled with Born-Infeld theory. (English) Zbl 07922830
Existence and multiplicity results for a kind of double phase problems with mixed boundary value conditions. (English) Zbl 07920446
Anisotropic \((\vec{p}, \vec{q})\)-Laplacian problems with superlinear nonlinearities. (English) Zbl 07919823
A study on a class of weighted elliptic problems with indefinite nonlinearities. (English) Zbl 07916284
A system of wave inequalities with inverse-square potentials in an exterior domain. (English) Zbl 07915841
Rigorous derivation of Michaelis-Menten kinetics in the presence of slow diffusion. (English) Zbl 07906798
Multiple solutions for singular systems with sign-changing weight, nonlinear singularities and critical exponent. (English) Zbl 07905672
Three solutions for a discrete fourth-order boundary value problem with three parameters. (English) Zbl 07905295
Normalized solutions for critical Schrödinger-Poisson system involving the \(p\)-subLaplacian in the Heisenberg group. (English) Zbl 07901127
Topics in elliptic problems: from semilinear equations to shape optimization. (English) Zbl 07900718
Convergence of critical points for a phase-field approximation of 1D cohesive fracture energies. (English) Zbl 07897396
Homogenization of a parabolic equation in a perforated domain with a unilateral dynamic boundary condition: critical case. (English. Russian original) Zbl 07895087
J. Math. Sci., New York 283, No. 1, 111-124 (2024); translation from Sovrem. Mat., Fundam. Napravl. 68, No. 4, 671-685 (2022).
On the existence of positive solution for a Neumann problem with double critical exponents in half-space. (English) Zbl 07893978
Nonlinear nonlocal equations involving subcritical or power nonlinearities and measure data. (English) Zbl 07889300
Limit profiles and the existence of bound-states in exterior domains for fractional Choquard equations with critical exponent. (English) Zbl 07888725
Multiplicity and nonexistence of positive solutions to impulsive Sturm-Liouville boundary value problems. (English) Zbl 07880471
Mixed boundary value problems involving Sturm-Liouville differential equations with possibly negative coefficients. (English) Zbl 1541.34039
MSC:
34B15
A critical exponent in a quasilinear Keller-Segel system with arbitrarily fast decaying diffusivities accounting for volume-filling effects. (English) Zbl 07879408
Reviewer: Pan Zheng (Chongqing)
Critical mass phenomenon for a parabolic-elliptic multispecies chemotaxis system in a two-dimensional disk. (English) Zbl 07871999
Ground state solutions for the fractional impulsive differential system with \(\psi\)-Caputo fractional derivative and \(\psi\)-Riemann-Liouville fractional integral. (English) Zbl 07871983
The Brezis-Nirenberg problem for fractional \(p\)-Laplacian systems in unbounded domains. (English) Zbl 1542.35420
The Dirichlet problem for a class of anisotropic Schrödinger-Kirchhoff-type equations with critical exponent. (English) Zbl 1542.35037
The existence of positive solutions for a critically coupled Schrödinger system in a ball of \(\mathbb{R}^3\). (English) Zbl 1542.35161
Elliptic \(p\)-Laplacian systems with nonlinear boundary condition. (English) Zbl 07867887
Reviewer: Calogero Vetro (Palermo)
On a class of Kirchhoff type problems with singular exponential nonlinearity. (English) Zbl 1542.35187
On the shape of solutions to elliptic equations in possibly non convex planar domains. (English) Zbl 1542.35129
Variational theory for the resonant \(T\)-curvature equation. (English) Zbl 07862410
Reviewer: Zdzisław Dzedzej (Gdańsk)
Maximal \(L^1\)-regularity and free boundary problems for the incompressible Navier-Stokes equations in critical spaces. (English) Zbl 1540.35295
Stability analysis of sheared thermal boundary layers and its implication for modelling turbulent Rayleigh-Bénard convection. (English) Zbl 07858319
Uniform attractors for wave equations with critical and nonautonomous nonlinearity. (English) Zbl 1541.35089
Global existence and aggregation of chemotaxis-fluid systems in dimension two. (English) Zbl 1542.35394
Reviewer: Piotr Biler (Wrocław)
Multistability for nematic liquid crystals in cuboids with degenerate planar boundary conditions. (English) Zbl 1541.35391
An infinite-dimensional nonlinear equation related to Gibbs measures of a SOS model. (English) Zbl 07841661
Reviewer: Farruh Mukhamedov (Al Ain)
Existence results for fractional Dirichlet problems of \(p\)-Laplacian with instantaneous and non-instantaneous impulses on time scales. (English) Zbl 1543.34006
Reviewer: Zeynep Kayar (Van)
Multiple solutions for a class of Kirchhoff type equations with zero mass and Hardy-Littlewood-Sobolev critical nonlinearity. (English) Zbl 1535.35077
On the dimension of the singular set in optimization problems with measure constraint. (English) Zbl 1537.35426
Small spheres with prescribed nonconstant mean curvature in Riemannian manifolds. (English) Zbl 07832862
Stable critical point of the Robin function and bubbling phenomenon for a slightly subcritical elliptic problem. (English) Zbl 1542.35169
Positive solution for an elliptic system with critical exponent and logarithmic terms: the higher-dimensional cases. (English) Zbl 1541.35199
Behavior of solutions to semilinear evolution inequalities in an annulus: the critical cases. (English) Zbl 1537.35430
Reviewer: Marius Ghergu (Dublin)
Diffusion instability domains for systems of parabolic equations. (English. Russian original) Zbl 1536.35049
Sib. Math. J. 65, No. 2, 487-494 (2024); translation from Vladikavkaz. Mat. Zh. 24, No. 4, 117-126 (2022).
A modified zero energy critical point theory with applications to several nonlocal problems. (English) Zbl 07823002
Multiplicity of nontrivial solutions for \(p\)-Kirchhoff type equation with Neumann boundary conditions. (English) Zbl 1536.35158
On the convergence of Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem. (English) Zbl 1535.65270
Multiplicity results for Hamiltonian systems with Neumann-type boundary conditions. (English) Zbl 1537.34039
Reviewer: Yanqiong Lu (Lanzhou)
On the multiplicity of solutions of a discrete Robin problem with variable exponents. (English) Zbl 1541.39010
Reviewer: Ioannis P. Stavroulakis (Ioannina)
On eigenvalue problems involving the critical Hardy potential and Sobolev type inequalities with logarithmic weights in two dimensions. (English) Zbl 1536.35226
Existence of weak solutions to an anisotropic parabolic-parabolic chemotaxis system. (English) Zbl 1535.35036
Reviewer: Pan Zheng (Chongqing)
On the critical behavior for a Sobolev-type inequality with Hardy potential. (English. French summary) Zbl 1535.35223
On the reduction of an autonomous nonlinear boundary value problem unsolved with respect to the derivative to the first-order critical case. (English. Ukrainian original) Zbl 1536.34011
J. Math. Sci., New York 279, No. 1, 1-21 (2024); translation from Ukr. Mat. Visn. 20, No. 4, 460-484 (2023).
Reviewer: Lingju Kong (Chattanooga)
Weighted Sobolev spaces and Morse estimates for quasilinear elliptic equations. (English) Zbl 1534.35214
Nonlocal critical growth elliptic problems with jumping nonlinearities. (English. French summary) Zbl 07809644
The primitive equations with stochastic wind driven boundary conditions. (English. French summary) Zbl 1534.35400
Multiplicity of solutions to the multiphasic Allen-Cahn-Hilliard system with a small volume constraint on closed parallelizable manifolds. (English) Zbl 1533.35088
Existence of sign-changing radial solutions with prescribed numbers of zeros for elliptic equations with the critical exponential growth in \(\mathbb{R}^2\). (English) Zbl 1536.34026
Reviewer: Jan Tomeček (Olomouc)
Infinitely many solutions to a Kirchhoff-type equation involving logarithmic nonlinearity via Morse’s theory. (English) Zbl 1535.35204
Nondegeneracy implies the existence of parametrized families of free boundaries. (English) Zbl 1534.35452
Reviewer: Mariana Vega Smit (Bellingham)
Compositional truth with propositional tautologies and quantifier-free correctness. (English) Zbl 1537.03091
Reviewer: Roman Kossak (New York)
Blow-up for semilinear parabolic equations in cones of the hyperbolic space. (English) Zbl 1529.35090
Heteroclinic solutions for a difference equation involving the mean curvature operator. (English) Zbl 1539.39012
Reviewer: Tom Cuchta (Huntington)
An efficient accurate scheme for solving the three-dimensional Bratu-type problem. (English) Zbl 07764031
A hot spots theorem for the mixed eigenvalue problem with small Dirichlet region. arXiv:2409.03908
Preprint, arXiv:2409.03908 [math.AP] (2024).
Conformal metrics on the four-dimensional half sphere with symmetric \(Q\) and \(T\) curvatures. arXiv:2408.16311
Preprint, arXiv:2408.16311 [math.AP] (2024).
A note on the logarithmically perturbed Brézis-Nirenberg problem on \(\mathbb{H^N}\). arXiv:2407.12745
Preprint, arXiv:2407.12745 [math.AP] (2024).
Blow-up of solutions to semilinear wave equations with spatial derivatives. arXiv:2406.02098
Preprint, arXiv:2406.02098 [math.AP] (2024).
The hot spots conjecture for some non-convex polygons. arXiv:2405.19508
Preprint, arXiv:2405.19508 [math.AP] (2024).
On Bobkov-Tanaka type spectrum for the double-phase operator. arXiv:2405.16147
Preprint, arXiv:2405.16147 [math.AP] (2024).
Nehari manifold optimization and its application for finding unstable solutions of semilinear elliptic PDEs. arXiv:2404.09892
Preprint, arXiv:2404.09892 [math.NA] (2024).
Uniqueness of the critical points of solutions to two kinds of semilinear elliptic equations in higher dimensional domains. arXiv:2403.06784
Preprint, arXiv:2403.06784 [math.AP] (2024).
First mixed Laplace eigenfunctions with no hot spots. arXiv:2401.01514
Preprint, arXiv:2401.01514 [math.AP] (2024).
Weak nontrivial solutions for discrete nonlinear problems of Kirchhoff type with variable exponents in a two dimensional Hilbert space. (English) Zbl 07887374
\(p(x)\)-Kirchhoff bi-nonlocal elliptic problem driven by both \(p(x)\)-Laplacian and \(p(x)\)-Biharmonic operators. (English) Zbl 07836918
On curves approaching asymptotic critical value set of a polynomial map. (English) Zbl 07834556
Reviewer: Aleksandr G. Aleksandrov (Moskva)
A note on the \(H^s\)-critical inhomogeneous nonlinear Schrödinger equation. (English) Zbl 1536.35300
Global and blow-up solutions for a nonlinear diffusion system with a source and nonlinear boundary conditions. (English) Zbl 07823371
Multiple subharmonic solutions with prescribed minimal periods for a class of second order impulsive differential systems. (English) Zbl 07822993
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