Advances in Operator Theory
- Adv. Oper. Theory
- Volume 4, Number 2 (2019), 497-513.
Multiplicity of solutions for a class of Neumann elliptic systems in anisotropic Sobolev spaces with variable exponent
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.
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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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