Found 83 Documents (Results 1–83)
Concentration of nodal solutions for semiclassical quadratic Choquard equations. (English) Zbl 1529.35019
Multi-valued variational inequalities in unbounded domains: existence, comparison and extremal solutions. (English) Zbl 1518.35381
Nontrivial solutions for a \((p, q)\)-type critical Choquard equation on the Heisenberg group. (English) Zbl 1512.35313
Schrödinger equation on Cartan-Hadamard manifolds with oscillating nonlinearities. (English) Zbl 1518.35328
Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk)
Low perturbations and combined effects of critical and singular nonlinearities in Kirchhoff problems. (English) Zbl 1504.35146
Reviewer: Patrick Winkert (Berlin)
On the existence of multiple solutions for fractional Brezis-Nirenberg-type equations. (English) Zbl 1523.35288
Localized nodal solutions for semiclassical quasilinear Choquard equations with subcritical growth. (English) Zbl 1496.35036
Profile decomposition in Sobolev spaces and decomposition of integral functionals. I: Inhomogeneous case. (English) Zbl 1504.46043
Infinitely many solutions for the Brézis-Nirenberg problem with nonlinear Choquard equations. (English) Zbl 1497.35214
Existence for singular critical exponential \((p,Q)\) equations in the Heisenberg group. (English) Zbl 1494.35150
Positive solutions for a Kirchhoff-type equation with critical and supercritical nonlinear terms. (English) Zbl 1492.35125
Least energy solutions to a cooperative system of Schrödinger equations with prescribed \(L^2\)-bounds: at least \(L^2\)-critical growth. (English) Zbl 1490.35367
A Sobolev-type inequality for the curl operator and ground states for the curl-curl equation with critical Sobolev exponent. (English) Zbl 1475.35332
Ground states for fractional linear coupled systems via profile decomposition. (English) Zbl 1467.35146
Multiple positive solutions for critical elliptic problem with singularity. (English) Zbl 1459.35217
Multiple solutions for quasilinear equation involving Hardy critical Sobolev exponents. (English) Zbl 1466.35190
Nonlinear scalar field equations with Berestycki-Lions’ nonlinearity on large domains. (English) Zbl 1454.35153
The role of planar symmetry and of symmetry constraints in the proof of existence of solutions to some scalar field equations. (English) Zbl 1448.35246
Nodal solutions for Kirchhoff equation in \(\mathbb{R}^3\) with critical growth. (English) Zbl 1440.35157
A sharp Sobolev inequality and its applications to an indefinite elliptic equation with Neumann boundary conditions. (English) Zbl 1440.35135
On the defect of compactness in Sobolev embeddings on Riemannian manifolds. (English) Zbl 1471.46037
St. Petersbg. Math. J. 31, No. 3, 421-434 (2020) and Algebra Anal. 31, No. 3, 36-54 (2019).
Reviewer: Leszek Skrzypczak (Poznań)
Infinitely many solutions for critical quasilinear equations involving Hardy potential. (English) Zbl 1440.35152
Gradient-type systems on unbounded domains of the Heisenberg group. (English) Zbl 1442.35491
Reviewer: Vicenţiu D. Rădulescu (Craiova)
On maximizers of a convolution operator in \(L_p\)-spaces. (English. Russian original) Zbl 1435.44003
Sb. Math. 210, No. 8, 1129-1147 (2019); translation from Mat. Sb. 210, No. 8, 67-86 (2019).
Infinitely many sign-changing solutions for system of p-Laplace equations in \(\mathbb{R}^N\). (English) Zbl 1418.35204
Existence results for Schrödinger \(p(\cdot)\)-Laplace equations involving critical growth in \(\mathbb{R}^N$. (English) Zbl 1421.35132
Invariance of critical points under Kelvin transform and multiple solutions in exterior domains of \(\mathbb {R}^2\). (English) Zbl 1422.35071
Concentration-compactness for singular nonlocal Schrödinger equations with oscillatory nonlinearities. (English) Zbl 1415.35135
Uniform continuity and Brézis-Lieb-type splitting for superposition operators in Sobolev space. (English) Zbl 06992610
On the stability of global solutions to the three-dimensional Navier-Stokes equations. (Sur la stabilité de solutions globales aux équations de Navier-Stokes tridimensionnelles.) (English. French summary) Zbl 1405.35132
Extremal solutions of logistic-type equations in exterior domain in \(\mathbb{R}^2\). (English) Zbl 1401.35115
Compactness properties and ground states for the affine Laplacian. (English) Zbl 1436.46042
Reviewer: Youssef El Hadfi (Khouribga)
Four proofs of cocompactness for Sobolev embeddings. (English) Zbl 1394.46029
Cwikel, Michael (ed.) et al., Functional analysis, harmonic analysis, and image processing: a collection of papers in honor of Björn Jawerth. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2836-5/pbk; 978-1-4704-4166-1/ebook). Contemporary Mathematics 693, 321-329 (2017).
A subset of Caffarelli-Kohn-Nirenberg inequalities in the hyperbolic space \(\mathbb {H}^N\). (English) Zbl 1378.35096
MSC:
35J20
\(p\)-Laplacian equations in \(\mathbb{R}^N\) with finite potential via the truncation method. (English) Zbl 1375.35227
MSC:
35J92
Extremal solutions of \(p\)-Laplacian problems in \(D^{1, p}(\mathbb{R}^N)\) via Wolff potential estimates. (English) Zbl 1375.35223
Reviewer: Dumitru Motreanu (Juiz de Fora)
MSC:
35J92
On a Brezis-Nirenberg type quasilinear problem. (English) Zbl 1372.35112
Reviewer: Junichi Aramaki (Saitama)
Struwe’s decomposition for a polyharmonic operator on a compact Riemannian manifold with or without boundary. (English) Zbl 1357.58026
Multiscale weak compactness in metric spaces. (English) Zbl 1392.46033
Reviewer: Vicenţiu D. Rădulescu (Craiova)
Sign-changing solutions for coupled nonlinear Schrödinger equations with critical growth. (English) Zbl 1352.35162
Concentration analysis in Banach spaces. (English) Zbl 1351.46015
Reviewer: Jan-David Hardtke (Berlin)
Ground states for scalar field equations with anisotropic nonlocal nonlinearities. (English) Zbl 1335.35034
Weighted quasilinear eigenvalue problems in exterior domains. (English) Zbl 1333.35138
Reviewer: Petr Tomiczek (Plzeň)
A global compactness type result for Palais-Smale sequences in fractional Sobolev spaces. (English) Zbl 1312.35092
Infinitely many positive solutions to some nonsymmetric scalar field equations: the planar case. (English) Zbl 1318.35009
Reviewer: Junichi Aramaki (Saitama)
On the second minimax level of the scalar field equation and symmetry breaking. (English) Zbl 1323.35124
Reviewer: Jesús Hernández (Madrid)
Existence of nonradial solutions for Hénon type biharmonic equation involving critical Sobolev exponents. (English) Zbl 1474.35280
Constrained energy minimization and orbital stability for the NLS equation on a star graph. (English) Zbl 1304.81087
Multiple solutions for quasilinear elliptic equations with a finite potential well. (English) Zbl 1298.35198
Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces. (English) Zbl 1296.35064
Reviewer: Dian K. Palagachev (Bari)
Concentration profiles for the Trudinger-Moser functional are shaped like toy pyramids. (English) Zbl 1290.35113
On the stability in weak topology of the set of global solutions to the Navier-Stokes equations. (English) Zbl 1283.35061
Improved multipolar Hardy inequalities. (English) Zbl 1283.35098
Cicognani, Massimo (ed.) et al., Studies in phase space analysis with applications to PDEs. In part selected papers based on the presentations at a meeting, Bertinoro, Italy, September 2011. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-6347-4/hbk; 978-1-4614-6348-1/ebook). Progress in Nonlinear Differential Equations and Their Applications 84, 35-52 (2013).
Reviewer: Maria Alessandra Ragusa (Catania)
Solutions to nonlinear Schrödinger equations with singular electromagnetic potential and critical exponent. (English) Zbl 1273.35247
Reviewer: Nils Ackermann (Mexico City)
Cocompactness and minimizers for inequalities of Hardy-Sobolev type involving \(N\)-Laplacian. (English) Zbl 1200.35139
Schrödinger equations with critical nonlinearity, singular potential and a ground state. (English) Zbl 1192.35061
Existence of infinitely many distinct solutions to the quasirelativistic Hartree-Fock equations. (English) Zbl 1181.35288
Cocompact imbeddings and structure of weakly convergent sequences. (English) Zbl 1170.46312
Maz’ya, Vladimir (ed.), Sobolev spaces in mathematics. I: Sobolev type inequalities. New York, NY: Springer; Novosibirsk: Tamara Rozhkovskaya Publisher (ISBN 978-0-387-85647-6/hbk; 978-5-901873-24-3/hbk; 978-0-387-85648-3/e-book; 978-0-387-85791-6/set). International Mathematical Series 8, 361-376 (2009).
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