Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900054 | Journal of Mathematical Analysis and Applications | 2018 | 17 Pages |
Abstract
In this paper, we are concerned with the sublinear problem(0.1){âÎu=|u|pâ2uinΩ,uν=0onâΩ, where ΩâRN is a bounded domain, and 1â¤p<2. For p=1, the nonlinearity |u|pâ2u will be identified by sgn(u). In contrast to previous work on the Dirichlet problem, some difficulties arise due to the fact that the associated energy functional is not bounded from below. Complementing recent work by Parini and Weth in [15] on least energy solutions, we prove that (0.1) has infinitely many solutions with small negative energy.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Miao Du,