Abstract
This article concerns the existence and multiplicity of solutions for a p(x)-Kirchhoff-type systems with a nonstandard growth condition. By a direct variational approach exponent Sobolev spaces, under growth conditions on the reaction terms, we establish the existence and multiplicity of solutions.
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Firouzi, S., Afrouzi, G.A. Existence of solutions for nonlocal elliptic systems involving p(x)-Laplace operator. Period Math Hung 84, 146–158 (2022). https://doi.org/10.1007/s10998-021-00396-9
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DOI: https://doi.org/10.1007/s10998-021-00396-9
Keywords
- p(x)-Laplace operator
- Variable exponent Sobolev spaces
- Nonlinear elliptic systems
- Variational methods
- Nonlocal condition