The aim of this article is to study the existence and multiplicity of solutions of operator equations involving duality mappings on Sobolev spaces with variable exponents. Our main tools are the well known Mountain Pass Theorem and its -symmetric version.
Submitted September 18, 2014. Published March 24, 2015.
Math Subject Classifications: 35J60, 35B38, 47J30, 46E30.
Key Words: Mountain Pass Theorem; duality mapping; critical point; Sobolev space with variable exponent.
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| Pavel Matei |
Department of Mathematics and Computer Science
Technical University of Civil Engineering
124, Lacul Tei Blvd.
020396 Bucharest, Romania
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