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

#### 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.

#### Article information

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

Dates
Accepted: 2 November 2018
First available in Project Euclid: 1 December 2018

https://projecteuclid.org/euclid.aot/1543633240

Digital Object Identifier
doi:10.15352/aot.1808-1409

Mathematical Reviews number (MathSciNet)
MR3883149

Zentralblatt MATH identifier
07009322

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

#### Citation

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. https://projecteuclid.org/euclid.aot/1543633240

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