Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume 40, Issue 5, Pages 2917-2944Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcds.2020155
Keywords
Fractional Orlicz-Sobolev space; compact embedding theorem; fractional M-Laplacian; fountain Theorem; Schrodinger equation
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Funding
- [LR 18 ES 15]
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In the present paper, we deal with a new continuous and compact embedding theorems for the fractional Orlicz-Sobolev spaces, also, we study the existence of infinitely many nontrivial solutions for a class of non-local fractional Orlicz-Sobolev Schrodinger equations whose simplest prototype is (-Delta)(m)(s) u+ V(x)m(u) = f (x, u), x is an element of R-d, where 0 < s < 1, d >= 2 and (-Delta)(m)(s) is the fractional M-Laplace operator. The proof is based on the variant Fountain theorem established by Zou.
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