Existence and multiplicity of solutions for a -Kirchhoff type problem via variational techniques
A. Mokhtari, Toufik Moussaoui, D. O’Regan (2015)
Archivum Mathematicum
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This paper discusses the existence and multiplicity of solutions for a class of -Kirchhoff type problems with Dirichlet boundary data of the following form where is a smooth open subset of and with , , are positive constants and is a continuous function. The proof is based on critical point theory and variable exponent Sobolev space theory.