Infinitely many solutions for elliptic problems in $\mathbb{R}^N$ involving the $p(x)$-Laplacian

Infinitely many solutions for elliptic problems in $\mathbb{R}^N$ involving the $p(x)$-Laplacian

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....

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Bibliographic Details
Main Authors: Qing-Mei Zhou, Ke-Qi Wang
Format: Article
Language:English
Published: University of Szeged 2015-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
p(x)-laplacian
variational method
variant fountain theorem
critical point
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4338

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