A Robin boundary problem with Hardy potential and critical nonlinearities

DOI10.1007/s11854-008-0019-3zbMath1156.35040OpenAlexW1996235708MaRDI QIDQ940787

Lingyu Jin, Shuangjie Peng, Yinbin Deng

Publication date: 3 September 2008

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-008-0019-3

zbMATH Keywords

existenceHardy potentialRobin boundary problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (10)

A nonlinear \(p\)-Laplace equation with critical Sobolev-Hardy exponents and Robin boundary conditions ⋮ On a Neumann problem with critical exponents and Hardy potentials ⋮ Solutions of Schrödinger equations with inverse square potential and critical nonlinearity ⋮ A global compactness result with applications to a nonlinear elliptic equation arising in astrophysics ⋮ On a class of quasilinear elliptic systems with critical growth ⋮ Positive solutions for singular elliptic equations with mixed Dirichlet-Neumann boundary conditions ⋮ Ground state of semilinear elliptic systems with sum of periodic and Hardy potentials ⋮ Positive solutions for the Hardy-Sobolev-Maz'ya equation with Neumann boundary condition ⋮ Multiple positive solutions for Robin problem involving critical weighted Hardy-Sobolev exponents with boundary singularities ⋮ A global compactness result with applications to a Hardy-Sobolev critical elliptic system involving coupled perturbation terms

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