Multiplicity of solutions for critical singular problems

DOI10.1016/j.aml.2005.10.004zbMath1387.35200OpenAlexW2083368270MaRDI QIDQ2371047

Ronaldo Brasileiro Assunção, Olímpio Hiroshi Miyagaki, Paulo Cesar Carrião

Publication date: 29 June 2007

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2005.10.004

zbMATH Keywords

variational methods\(p\)-Laplaciancompactness-concentrationdegenerate quasilinear equation

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

The effect of domain topology on the number of positive solutions for singular elliptic problems involving the Caffarelli-Kohn-Nirenberg inequalities ⋮ Existence and multiplicity of weak solutions for a singular quasilinear elliptic equation ⋮ Existence and nonexistence of positive solutions for singular \(p\)-Laplacian equation in \(\mathbb R^N\) ⋮ Finite difference solution of a singular boundary value problem for the \(p\)-Laplace operator ⋮ On positive solutions for a class of singular quasilinear elliptic systems ⋮ Ground state solutions for singular \(p\)-Laplacian equation in \(\mathbb R^N\) ⋮ Decaying solution for singular \(p\)-Laplacian equation ⋮ Multiplicity of solutions to the weighted critical quasilinear problems

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