Infinitely many solutions for elliptic problems in $\mathbb{R}^N$ involving the $p(x)$-Laplacian
oleh: Qing-Mei Zhou, Ke-Qi Wang
| Format: | Article |
|---|---|
| Diterbitkan: | University of Szeged 2015-12-01 |
Deskripsi
We consider the $p(x)$-Laplacian equations in $\mathbb{R}^N$. The potential function does not satisfy the coercive condition. We obtain the existence of infinitely many solutions of the equations, improving a recent result of Duan--Huang [L. Duan, L. H. Huang, Electron. J. Qual. Theory Differ. Equ. 2014, No. 28, 1--13].