Title
A critical nonlinear elliptic equation with nonlocal regional diffusion
Date Issued
2018
Access level
open access
Resource Type
journal article
Publisher(s)
Mathematical Society of the Rep. of China
Abstract
In this article we are interested in the nonlocal regional Schrödinger equation with critical exponent (Formula presented). where ϵ is a small positive parameter, α∈(0,1), q∈(1,2∗α−1), 2∗α=2n/(n−2α) is the critical Sobolev exponent, λ>0 is a parameter and (−Δ)αρ is a variational version of the regional Laplacian, whose range of scope is a ball with radius ρ(x)>0. We study the existence of a ground state and we analyze the behavior of semi-classical solutions as ε→0.
Start page
909
End page
930
Volume
22
Issue
4
Language
English
OCDE Knowledge area
Matemáticas puras
Scopus EID
2-s2.0-85050678157
Source
Taiwanese Journal of Mathematics
ISSN of the container
10275487
Sources of information: Directorio de Producción Científica Scopus