Advances in Operator Theory

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

Mohamed Saad Bouh Elemine Vall and Ahmed Ahmed

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‎‎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.

Article information

Adv. Oper. Theory, Volume 4, Number 2 (2019), 497-513.

Received: 24 August 2018
Accepted: 2 November 2018
First available in Project Euclid: 1 December 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 34A34: Nonlinear equations and systems, general
Secondary: 35D30‎ ‎35J50

Neumann elliptic problem‎‎ gradient system‎ ‎ ‎‎‎weak solution ‎ variational principle‎ ‎ anisotropic variable exponent Sobolev space


Elemine Vall, Mohamed Saad Bouh; Ahmed, Ahmed. Multiplicity of solutions for a class of Neumann elliptic systems in anisotropic Sobolev spaces with variable exponent. Adv. Oper. Theory 4 (2019), no. 2, 497--513. doi:10.15352/aot.1808-1409.

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