Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8959527 | Journal of Mathematical Analysis and Applications | 2018 | 17 Pages |
Abstract
In this article we are interested in the nonlinear Schrödinger equation with nonlocal regional diffusion:(0.1)(âÎ)Ïαu+u=f(x,u) in Rn,uâHα(Rn), where αâ(0,1) and (âÎ)Ïα is a variational version of the regional Laplacian, whose range of scope is a ball with radius Ï(x)>0. By using the symmetric mountain pass theorem and the genus properties in critical point theory, we show that problem (0.1) has infinitely many solutions. Recent results in the literature are significantly improved.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
César Torres, Hernán Cuti, Manuel Montalvo, Oliverio Pichardo,