Multiple positive solutions for a quasilinear elliptic problem involving critical Sobolev-Hardy exponents and concave-convex nonlinearities

DOI10.1016/j.na.2011.02.036zbMath1219.35108OpenAlexW2000176458MaRDI QIDQ544160

Tsing-San Hsu

Publication date: 14 June 2011

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.2011.02.036

zbMATH Keywords

variational methodsmultiple positive solutionsconcave-convex nonlinearitiescritical Sobolev-Hardy exponent

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)

Related Items (16)

Existence and multiplicity results for an elliptic problem involving cylindrical weights and a homogeneous term \(\mu \) ⋮ Existence of positive solutions for a quasilinear elliptic system involving critical Sobolev-Hardy exponents and concave-convex nonlinearities ⋮ A variational approach to a singular elliptic system involving critical Sobolev-Hardy exponents and concave-convex nonlinearities ⋮ Multiplicity of positive solutions for weighted quasilinear elliptic equations involving critical Hardy-Sobolev exponents and concave-convex nonlinearities ⋮ Existence and multiplicity of solutions to a singular elliptic system with critical Sobolev-Hardy exponents and concave-convex nonlinearities ⋮ Multiplicity of solutions for an elliptic problem with critical Sobolev-Hardy exponents and concave-convex nonlinearities ⋮ The existence of the sign-changing solutions for the Kirchhoff-Schrödinger-Poisson system in bounded domains ⋮ Nonlocal elliptic systems involving critical Sobolev-Hardy exponents and concave-convex nonlinearities ⋮ Critical Hardy-Sobolev exponents problem with Grushin operator and Hardy-type singularity terms ⋮ The Nehari Manifold for a p-Laplacian equation with concave-convex nonlinearities and sign-changing potential ⋮ Fractional \(p\)-Laplacian problems with Hardy terms and critical exponents ⋮ Multiple solutions of critical singular degenerate elliptic system with concave-convex nonlinearities ⋮ REGULARITY AND MULTIPLICITY OF SOLUTIONS FOR A NONLOCAL PROBLEM WITH CRITICAL SOBOLEV-HARDY NONLINEARITIES ⋮ Existence of multiple solutions for quasilinear elliptic equation with critical Sobolev–Hardy terms ⋮ MULTIPLE SOLUTIONS FOR A FRACTIONAL LAPLACIAN SYSTEM INVOLVING CRITICAL SOBOLEV-HARDY EXPONENTS AND HOMOGENEOUS TERM ⋮ Multiple positive solutions for quasilinear elliptic problems with combined critical Sobolev-Hardy terms

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