Existence and multiplicity of solutions to operator equations involving duality mappings on Sobolev spaces with variable exponents

Existence and multiplicity of solutions to operator equations involving duality mappings on Sobolev spaces with variable exponents

The aim of this article is to study the existence and multiplicity of solutions to operator equations involving duality mappings on Sobolev spaces with variable exponents. Our main tool are the well known Mountain Pass Theorem and its $\mathbb{Z} _2$-symmetric version.

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Veröffentlicht in:Electronic journal of differential equations 2015-03, Vol.2015 (73), p.1-19
1. Verfasser: Pavel Matei
Format: Artikel
Sprache:eng
Schlagworte:
critical point
duality mapping
Mountain Pass Theorem
Sobolev space with variable exponent
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Zusammenfassung:The aim of this article is to study the existence and multiplicity of solutions to operator equations involving duality mappings on Sobolev spaces with variable exponents. Our main tool are the well known Mountain Pass Theorem and its $\mathbb{Z} _2$-symmetric version.
ISSN:1072-6691