Riv. Mat. Univ. Parma, Vol. 6, No. 2, 2015

Anass Ourraoui[1]

On a nonlocal $$\overrightarrow{p}(.)-$$Laplacian equations via genus theory

Pages: 305-316
Accepted in revised form: 5 November 2015
Mathematics Subject Classification (2010): 35J30 , 35J60, 35J92.
Keywords:Anisotropic variable exponent equation, Krasnoselskii's genus.
[1] : University Mohamed I, Department of Mathematics (ENSAH), Morocco

Abstract: In this work, we study a class of nonlocal anisotropic type problems involving $$\overrightarrow{p}(.)-$$Laplacian Dirichlet boundary condition with an additional nonlocal term, we give a result on the existence and multiplicity of solutions by using as main tool a result due to genus theory.

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