Embedding theorems in the fractional Orlicz-Sobolev space and applications to non-local problems. (English) Zbl 1436.35090
The authors show some embedding results for a new class of Banach spaces. They also show multiplicity of solutions for a problem that involves the fractional \(p\)-Laplace operator.
Reviewer: Giovany Malcher Figueiredo (Brasília)
MSC:
| 35J10 | Schrödinger operator, Schrödinger equation |
| 35R11 | Fractional partial differential equations |
| 46E30 | Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) |
Keywords:
Schrödinger operator; fractional \(p\)-Laplacian; fractional Orlicz-Sobolev space; compact embedding theoremReferences:
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