Critical Sobolev exponent problem in \({\mathbb{R}{}}^ n(n{\geq{}}4)\) with Neumann boundary condition

zbMath0735.35063MaRDI QIDQ1174586

Adimurthi Yadava, S. L. Yadava

Publication date: 25 June 1992

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

critical Sobolev exponentNeumann conditionsflat boundary

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30)

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Positive constrained minimizers for supercritical problems in the ball ⋮ A nonlinear \(p\)-Laplace equation with critical Sobolev-Hardy exponents and Robin boundary conditions ⋮ Solutions of elliptic equations involving critical Sobolev exponents with Neumann boundary conditions ⋮ The Neumann problem for a class of semilinear fractional equations with critical exponent ⋮ Multiplicity results and bifurcation for nonlinear elliptic problems involving critical Sobolev exponents ⋮ Fractional semilinear Neumann problem with critical nonlinearity ⋮ Existence and nonexistence of positive radial solutions of Neumann problems with critical Sobolev exponents ⋮ On the existence of multipeaked solutions to a semilinear Neumann problem ⋮ A Robin boundary problem with Hardy potential and critical nonlinearities ⋮ Multiple solutions of a nonlinear elliptic equation involving Neumann conditions and a critical Sobolev exponent. ⋮ Positive solutions for the Hardy-Sobolev-Maz'ya equation with Neumann boundary condition ⋮ On the critical Neumann problem with weight in exterior domains. ⋮ Quasilinear elliptic equations with Neumann boundary and singularity

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