Multiplicity of solutions for elliptic system involving supercritical Sobolev exponent (Q637503)
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scientific article; zbMATH DE number 5945512
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicity of solutions for elliptic system involving supercritical Sobolev exponent |
scientific article; zbMATH DE number 5945512 |
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Multiplicity of solutions for elliptic system involving supercritical Sobolev exponent (English)
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6 September 2011
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The existence of multiple solutions to a class of supercritical semilinear Schrödinger system is proved. The result is adapted from \textit{G. M. Figueiredo} and \textit{M. F. Furtado} [Nonlinear Differ. Equ. Appl. 15, No. 3, 309--334 (2008; Zbl 1159.35333)] (quasilinear frame) and uses in particular the Ljusternik-Schnirelmann theory.
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supercritical Sobolev exponent
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nonlinear Schrödinger equation
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Ljusternik-Schnirelmann theory
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