Positive solutions for elliptic equations involving critical Sobolev exponents and Hardy terms with Neumann boundary conditions.

DOI10.1016/S0362-546X(03)00223-2zbMath1074.35534MaRDI QIDQ1413262

Pigong Han, Zhaoxia Liu

Publication date: 16 November 2003

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

zbMATH Keywords

Semilinear elliptic equationNeumann problemCritical pointEnergy functional

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (17)

Existence of multiple solutions for a quasilinear Neumann problem with critical exponent ⋮ Existence of solution for a quasilinear elliptic Neumann problem involving multiple critical exponents ⋮ The effect of domain topology on the number of positive solutions for singular elliptic problems involving the Caffarelli-Kohn-Nirenberg inequalities ⋮ Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities ⋮ Existence and multiplicity of positive solutions for some Hardy-Sobolev critical elliptic equation with boundary singularities ⋮ Multiple positive solutions for semilinear elliptic equations with critical weighted Hardy-Sobolev exponents ⋮ Existence and multiplicity of positive solutions for elliptic equation with critical weighted Hardy-Sobolev exponents and boundary singularities ⋮ The critical Neumann problem for semilinear elliptic equations with concave perturbations ⋮ A Robin boundary problem with Hardy potential and critical nonlinearities ⋮ On the Neumann problem with the Hardy-Sobolev potential ⋮ Existence of sign-changing solutions for a nonlinear elliptic problem on \(\mathbb R^N\) with a Hardy term ⋮ Positive solutions for singular elliptic equations with mixed Dirichlet-Neumann boundary conditions ⋮ Positive solutions for Neumann elliptic problems involving critical Hardy-Sobolev exponent with boundary singularities ⋮ Positive solutions for the Hardy-Sobolev-Maz'ya equation with Neumann boundary condition ⋮ Quasilinear elliptic equations with Neumann boundary and singularity ⋮ Multiple positive solutions for Robin problem involving critical weighted Hardy-Sobolev exponents with boundary singularities ⋮ Existence of multiple solutions for quasilinear elliptic equation with critical Sobolev–Hardy terms

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