| Autor: |
Aberqi, Ahmed, Bennouna, Jaouad, Benslimane, Omar, Ragusa, Maria Alessandra |
| Rok vydání: |
2021 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
In this paper, we study the existence of non-negative non-trivial solutions for a class of double-phase problems where the source term is a Caratheodory function that satisfies the Ambrosetti-Rabinowitz type condition in the framework of Sobolev-Orlicz spaces with variable exponents in complete compact Riemannian n-manifolds. Our approach is based on the Nehari manifold and some variational techniques. Furthermore, the H\"older inequality, continuous and compact embedding results are proved. |
| Databáze: |
arXiv |
| Externí odkaz: |
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