Multiplicity of solutions for a class of elliptic problem in with Neumann conditions

DOI10.1016/j.jde.2004.11.010zbMath1134.35043OpenAlexW2060670484MaRDI QIDQ2575600

Claudianor Oliveira Alves

Publication date: 5 December 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.11.010

zbMATH Keywords

critical growthelliptic problemTrudinger-Moser inequality

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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 (11)

Existence of a positive solution for a nonlinear elliptic equation with saddle-like potential and nonlinearity with exponential critical growth in \({\mathbb{R}^{2}}\) ⋮ A multiplicity result for some Kirchhoff-type equations involving exponential growth condition in \(\mathbb{R}^2 \) ⋮ Nodal solutions for singularly perturbed equations with critical exponential growth ⋮ Existence of a ground state solution for an elliptic problem with critical growth in an exterior domain ⋮ On existence of solutions for some classes of elliptic problems with supercritical exponential growth ⋮ Multiplicity of positive solutions for a class of problems with exponential critical growth in \(\mathbb R^2\) ⋮ Multiplicity of solutions for a class of fractional elliptic problems with critical exponential growth and nonlocal Neumann condition ⋮ Fractional elliptic problem in exterior domains with nonlocal Neumann condition ⋮ Normalized solutions for a Schrödinger equation with critical growth in \(\mathbb{R}^N\) ⋮ Positive radial symmetric solutions to an exterior elliptic Robin boundary-value problem and application ⋮ A weighted Trudinger-Moser type inequality and its applications to quasilinear elliptic problems with critical growth in the whole Euclidean space

Cites Work

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• The concentration-compactness principle in the calculus of variations. The locally compact case. I
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• Multiplicity of solutions for a class of quasilinear problem in exterior domains with Neumann conditions
• Minimax theorems
• Dual variational methods in critical point theory and applications
• Eigenvalue problems for quasilinear elliptic equations on R^N
• Nonsymmetric ground states of symmetric variational problems
• Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
• Multiple solutions for a neumann problem in an exterior domain
• Equivalent Norms for Sobolev Spaces

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