A nonexistence result for a nonlinear equation involving critical Sobolev exponent

DOI10.1016/S0294-1449(16)30236-0zbMath0795.35032MaRDI QIDQ1196153

A. Carpio Rodriguez, Myriam Comte, Roger Lewandowski

Publication date: 17 December 1992

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1992__9_3_243_0

zbMATH Keywords

semilinear elliptic equationscritical Sobolev exponentsconcentration compactness principlemoving plane principle

Mathematics Subject Classification ID

Related Items (9)

Relative category and multiplicity of positive solutions for the equation ⋮ Nonexistence of solutions for elliptic equations with supercritical nonlinearity in nearly nontrivial domains ⋮ Nonexistence of solutions for Dirichlet problems with supercritical growth in tubular domains ⋮ Nonexistence results for elliptic problems with supercritical growth in thin planar domains ⋮ Non-radial solutions of a supercritical equation in expanding domains: the limit case ⋮ Uniqueness of solutions for nonlinear Dirichlet problems with supercritical growth ⋮ Non-existence results about \(-\Delta u = u^{\frac{n+2}{n-2}}\) on non-starshaped domains ⋮ The number of positive solutions to the Brezis-Nirenberg problem ⋮ Ground state solutions for a semilinear elliptic problem with critical-subcritical growth

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• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• Emden-Fowler equations involving critical exponents

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