Small perturbations of elliptic problems with variable growth in RN
In this paper, we study the existence of at least two non-trivial solutions for a class of p ( x )-Laplacian equations with perturbation in the whole space. Using Ekeland’s variational principle and the mountain pass theorem, under appropriate assumptions, we prove the existence of two solutions for...
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| Veröffentlicht in: | Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2021-05, Vol.477 (2249), Article rspa.2020.0867 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, we study the existence of at least two non-trivial solutions for a class of
p
(
x
)-Laplacian equations with perturbation in the whole space. Using Ekeland’s variational principle and the mountain pass theorem, under appropriate assumptions, we prove the existence of two solutions for the equations. |
|---|---|
| ISSN: | 1364-5021 1471-2946 |
| DOI: | 10.1098/rspa.2020.0867 |