Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774795 | Journal of Mathematical Analysis and Applications | 2017 | 12 Pages |
Abstract
In this paper, we study the semilinear elliptic equations with the sign-changing logarithmic nonlinearity. Under some conditions we obtain at least two nontrivial solutions by Nehari manifold and logarithmic Sobolev inequality. Here the results are quite different from these in the polynomial case.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Shuying Tian,