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

• Published in: Mediterranean journal of mathematics Vol. 19; no. 4
• Main Authors: Aberqi, Ahmed, Bennouna, Jaouad, Benslimane, Omar, Ragusa, Maria Alessandra
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.08.2022; Springer Nature B.V
• Subjects: Exponents; Manifolds; Mathematics; Mathematics and Statistics; Primary 35J20; 35J60; Sobolev–Orlicz Riemannian manifold; Nehari manifold; Secondary 35J47; Existence solutions; double phase problem

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 mani...