Existence Results for Double Phase Problem in Sobolev–Orlicz Spaces with Variable Exponents in Complete Manifold

被引：0
作者：
Ahmed Aberqi
Jaouad Bennouna
Omar Benslimane
Maria Alessandra Ragusa
机构：
[1] Sidi Mohamed Ben Abdellah University,Laboratory LAMA
[2] National School of Applied Sciences,Laboratory LAMA, Department of Mathematics
[3] Sidi Mohamed Ben Abdellah University,Dipartimento di Matematica e Informatica
[4] Faculty of Sciences Dhar El Mahraz,undefined
[5] Universitá di Catania,undefined
[6] RUDN University,undefined
来源：
Mediterranean Journal of Mathematics | 2022年 / 19卷
关键词：
Existence solutions; double phase problem; Sobolev–Orlicz Riemannian manifold; Nehari manifold; Primary 35J20; Secondary 35J47; 35J60;
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摘要：
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 manifold. Our approach is based on the Nehari manifold and some variational techniques. Furthermore, the Hölder ine-quality, continuous and compact embedding results are proved.
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