Existence and multiplicity results for double phase problem on compact Riemannian manifolds (Q6170729)
From MaRDI portal
scientific article; zbMATH DE number 7725266
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and multiplicity results for double phase problem on compact Riemannian manifolds |
scientific article; zbMATH DE number 7725266 |
Statements
Existence and multiplicity results for double phase problem on compact Riemannian manifolds (English)
0 references
10 August 2023
0 references
The authors consider double-phase problems on compact Riemannian manifolds without boundary in dimensions \(N\geq 3\). Under various hypotheses on the source function \(f\), existence, uniqueness and multiplicity of solutions are proved. The main tool used is the variational approach combined with Leray-Schauder degree theory.
0 references
double phase problems
0 references
Riemannian manifolds
0 references
Musielak-Orlicz spaces
0 references
mountain pass theorem
0 references
Fountain theorem
0 references
0 references
