Existence of solutions for nonlocal elliptic systems involving p(x)-Laplace operator

Existence of solutions for nonlocal elliptic systems involving p(x)-Laplace operator

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 solution...

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Veröffentlicht in:Periodica mathematica Hungarica 2022-03, Vol.84 (1), p.146-158
Hauptverfasser: Firouzi, S., Afrouzi, G. A.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Sobolev space
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Zusammenfassung: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.
ISSN:0031-5303
1588-2829
DOI:10.1007/s10998-021-00396-9