Radially symmetric solutions of the p -Laplacian with critical Sobolev-Hardy exponent in perforated-like domain

DOI10.1002/MMA.1427zbMath1217.35086OpenAlexW2083039068MaRDI QIDQ3005124

Yuanyuan Ke, Jingxue Yin, Shanming Ji

Publication date: 7 June 2011

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

Full work available at URL: https://doi.org/10.1002/mma.1427

zbMATH Keywords

\(p\)-Laplacianradially symmetric solutioncritical Sobolev-Hardy exponentconcave termperforated-like domain

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Symmetries, invariants, etc. in context of PDEs (35B06) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• Multiple positive solutions for a class of nonlinear elliptic equations
• On a \(p\)-Laplace equation with multiple critical nonlinearities
• Multiple positive solutions for elliptic equations involving a concave term and critical Sobolev-Hardy exponent
• The role played by space dimension in elliptic critical problems
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Positive solutions for singular critical elliptic problems.

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