Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
173 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Embedding theorems in the fractional Orlicz-Sobolev space and applications to non-local problems (1909.06584v1)

Published 14 Sep 2019 in math.AP

Abstract: 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 Schr\"{o}dinger equations whose simplest prototype is $$(-\triangle){s}_{m}u+V(x)m(u)=f(x,u),\ x\in\mathbb{R}{d},$$ where $0<s<1$, $d\geq2$ and $(-\triangle){s}_{m}$ is the fractional $M$-Laplace operator. The proof is based on the variant Fountain theorem established by Zou.

Summary

We haven't generated a summary for this paper yet.