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An existence result for a Robin problem involving $p(x)$-Kirchhoff-type equation with indefinite weight | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 4، دوره 6، شماره 4، 2025، صفحه 317-326 اصل مقاله (425.83 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2024.22990.1213 | ||
| نویسندگان | ||
| Mehdi Latifi* 1؛ Mohsen Alimohammady2 | ||
| 1Department of Basic Sciences, Khatam-Ol-Anbia (PBA) University, Tehran, Iran | ||
| 2Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar 47416-1468, Iran | ||
| چکیده | ||
| This paper discusses the existence of at least two distinct nontrivial weak solutions for a class of $p(x)$-Kirchhoff-type equation plus an indefinite potential under Robin boundary condition. The variable exponent theory of generalized Lebesgue-Sobolev spaces, mountain pass theorem and Ekeland variational principle are used for this purpose. | ||
| کلیدواژهها | ||
| $p(x)$-Kirchhoff؛ Nontrivial weak solution؛ Mountain pass theorem؛ Ekeland variational principle | ||
| مراجع | ||
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