Title
Existence and symmetry result for fractional p-Laplacian in ℝ<sup>n</sup>
Date Issued
2017
Access level
open access
Resource Type
journal article
Publisher(s)
American Institute of Mathematical Sciences
Abstract
In this article we are interested in the following fractional p-Laplacian equation in ℝn (-Δ)psu + V (x)|u|p-2u = f(x, u) in ℝn, where p ≥ 2, 0 < s < 1, n ≥ 2 and f is p-superlinear. By using mountain pass theorem with Cerami condition we prove the existence of nontrivial solution. Furthermore, we show that this solution is radially simmetry.
Start page
99
End page
118
Volume
16
Issue
1
Language
English
OCDE Knowledge area
Matemáticas puras
Subjects
Scopus EID
2-s2.0-84996844947
Source
Communications on Pure and Applied Analysis
ISSN of the container
15340392
Sources of information:
Directorio de Producción Científica
Scopus