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

A. Ahmed; M.S.B. Elemine Vall; A. Touzani

doi:10.1515/mjpaa-2017-0007

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

Moroccan Journal of Pure and Applied Analysis

Volume 3 (2017): Issue 1 (June 2017)

By: A. Ahmed, M.S.B. Elemine Vall and A. Touzani

Open Access

|Aug 2017

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.

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Articles in this issue

DOI: https://doi.org/10.1515/mjpaa-2017-0007 | Journal eISSN: 2351-8227

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Language: English

Page range: 70 - 82

Published on: Aug 1, 2017

Published by: Sciendo

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Neumann elliptic problem,

Gradient system,

weak solutions,

Variational principle,

Anisotropic variable exponent Sobolev spaces

Related subjects:

Mathematics,

Analysis,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics

© 2017 A. Ahmed, M.S.B. Elemine Vall, A. Touzani, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 3 (2017): Issue 1 (June 2017)