Positive solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent

DOI10.1016/J.NA.2011.11.008zbMath1242.35115OpenAlexW2064743731MaRDI QIDQ412742

Huei-li Lin

Publication date: 4 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.11.008

zbMATH Keywords

critical Sobolev exponentsemilinear elliptic problemsmultiple positive solutionsNehari manifold

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (17)

Multiplicity of positive solutions for a class of concave-convex elliptic equations with critical growth ⋮ Existence and multiplicity of positive solutions for a class of elliptic equations involving critical Sobolev exponents ⋮ Estimates for extremal values for a critical fractional equation with concave-convex nonlinearities ⋮ The Nehari manifold for a fractional Laplacian equation involving critical nonlinearities ⋮ On nonlocal Choquard system with Hardy-Littlewood-Sobolev critical exponents ⋮ Existence of ground state solutions for Kirchhoff-type problem with variable potential ⋮ Multiple positive solutions for a Schrödinger-Poisson-Slater equation with critical growth ⋮ Positive solutions for a Kirchhoff-type problem involving multiple competitive potentials and critical Sobolev exponent ⋮ Multiple positive solutions for semilinear elliptic systems ⋮ Multiple positive solutions for singular elliptic problems involving concave-convex nonlinearities and sign-changing potential ⋮ Multiple positive solutions for critical elliptic problem with singularity ⋮ Multiple positive solutions for Kirchhoff-type problems in \({\mathbb{R}^3}\) involving critical Sobolev exponents ⋮ Multiple solutions for weighted nonlinear elliptic system involving critical exponents ⋮ Existence and multiplicity of positive solutions for a class of critical fractional Laplacian systems ⋮ A quasilinear elliptic problem involving critical Sobolev exponents ⋮ Multiple positive solutions for an elliptic problem involving a critical Sobolev exponent ⋮ Multiple positive solutions for a class of Kirchhoff type problems involving critical Sobolev exponents

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