Existence of multiple solutions for quasilinear elliptic equation with critical Sobolev–Hardy terms

DOI10.1002/mma.3057zbMath1318.35057OpenAlexW2052876614MaRDI QIDQ5257910

Wen-jie Gao, Yuanxiao Li

Publication date: 24 June 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3057

zbMATH Keywords

quasilinear elliptic equationnontrivial solutionRobin boundary conditioncritical Sobolev-Hardy exponent

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

Existence of solution for a quasilinear elliptic Neumann problem involving multiple critical exponents ⋮ Multiple solutions for a quasilinear Schrödinger equation involving critical Hardy–Sobolev exponent with Robin boundary condition ⋮ Hardy-Sobolev equation on compact Riemannian manifolds involving \(p\)-Laplacian

Cites Work

• On the quasilinear elliptic problem with a Hardy-Sobolev critical exponent
• Multiple positive solutions for a quasilinear elliptic problem involving critical Sobolev-Hardy exponents and concave-convex nonlinearities
• Multiple positive solutions for a class of nonlinear elliptic equations
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Multiple positive solutions for a quasilinear elliptic equation involving singular potential and critical Sobolev exponent
• Neumann problems of semilinear elliptic equations involving critical Sobolev exponents
• Positive solutions for elliptic equations involving critical Sobolev exponents and Hardy terms with Neumann boundary conditions.
• Hardy-Sobolev critical elliptic equations with boundary singularities
• Quasilinear elliptic problems with critical exponents and Hardy terms
• Multiplicity of positive solutions for a class of quasilinear nonhomogeneous Neumann problems
• Existence of multiple positive solutions for inhomogeneous Neumann problem
• Multiple positive solutions for a quasilinear nonhomogeneous Neumann problems with critical Hardy exponents
• A result on Hardy-Sobolev critical elliptic equations with boundary singularities
• On the quasilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy terms
• Positive solutions for Neumann elliptic problems involving critical Hardy-Sobolev exponent with boundary singularities
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Existence of solutions for singular critical growth semilinear elliptic equations

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