Positive and nodal solutions for an elliptic equation with critical growth

DOI10.1142/S0219199715500212zbMath1342.35112OpenAlexW2131945194MaRDI QIDQ2796986

Marcelo F. Furtado, Bruno N. Souza

Publication date: 30 March 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199715500212

zbMATH Keywords

critical exponentpositive solutionelliptic equationsnodal solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Weak solutions to PDEs (35D30) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (4)

Weighted Choquard equation perturbed with weighted nonlocal term ⋮ A system with weights and with critical Sobolev exponent ⋮ The effect of a discontinuous weight for a critical Sobolev problem ⋮ Solutions of a weighted \(p\)-Laplacian critical Sobolev problem

Cites Work

• An existence result for nonliner elliptic problems involving critical Sobolev exponent
• Nodal solutions of semilinear elliptic equations with critical exponent
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
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