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Advances in Operator Theory
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Volume Volume 4 (2019)
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Elemine Vall, M., Ahmed, A. (2019). Multiplicity of solutions for a class of Neumann elliptic systems in anisotropic Sobolev spaces with variable exponent. Advances in Operator Theory, 4(2), 497-513. doi: 10.15352/aot.1808-1409
Moahmed Saad Bouh Elemine Vall; Ahmed Ahmed. "Multiplicity of solutions for a class of Neumann elliptic systems in anisotropic Sobolev spaces with variable exponent". Advances in Operator Theory, 4, 2, 2019, 497-513. doi: 10.15352/aot.1808-1409
Elemine Vall, M., Ahmed, A. (2019). 'Multiplicity of solutions for a class of Neumann elliptic systems in anisotropic Sobolev spaces with variable exponent', Advances in Operator Theory, 4(2), pp. 497-513. doi: 10.15352/aot.1808-1409
Elemine Vall, M., Ahmed, A. Multiplicity of solutions for a class of Neumann elliptic systems in anisotropic Sobolev spaces with variable exponent. Advances in Operator Theory, 2019; 4(2): 497-513. doi: 10.15352/aot.1808-1409

Multiplicity of solutions for a class of Neumann elliptic systems in anisotropic Sobolev spaces with variable exponent

Article 12, Volume 4, Issue 2 - Serial Number 12, Spring 2019, Page 497-513  XML PDF (128.32 K)
Document Type: Original Article
DOI: 10.15352/aot.1808-1409
Authors
Moahmed Saad Bouh Elemine Vall email ; Ahmed Ahmed
University of Nouakchott Al Aasriya, Mauritania
Receive Date: 24 August 2018,  Revise Date: 30 October 2018,  Accept Date: 02 November 2018 
Abstract
In this paper, we prove the existence of infinitely many solutions of a system of boundary value problems involving flux boundary conditions in anisotropic variable exponent Sobolev spaces, 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.
Keywords
Neumann elliptic problem; grqdient system, weak solutions; Variational principle; Anisotropic variable exponent Sobolev spaces
Main Subjects
35. Partial differential equations; 46. Functional analysis
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