Infinitely Many Solutions of the Neumann Problem for Elliptic systems in Anisotropic Variable Exponent Sobolev Spaces-Reference-Cited by-同舟云学术

Infinitely Many Solutions of the Neumann Problem for Elliptic systems in Anisotropic Variable Exponent Sobolev Spaces

Published:2017-06-27 Issue:1 Volume:3 Page:70-82
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Ahmed A.¹,Vall M.S.B. Elemine¹,Touzani A.¹

Affiliation:

1. University of Sidi Mohamed Ibn Abdellah, Faculty of Sciences Dhar El Mahraz, Laboratory LAMA, Department of Mathematics, B.P. 1796 Atlas Fez , Morocco

Abstract

Abstract In this paper, we prove the existence of in finitely many solutions for the following system by applying a critical point variational principle obtained by Ricceri as a consequence of a more general variational principle and the theory of the anisotropic variable exponent Sobolev spaces 2010 Mathematics Subject Classification. 35K05 - 35K55.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Reference20 articles.

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2. [2] A. Ahmed, H. Hjiaj and A. Touzani, Existence of infinitely many weak solutions for a Neumann elliptic equations involving the ~p(x)-laplacian operator, Rend. Circ. Mat. Palermo DOI 10.1007/s12215-015-0210-1.

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