Year: 2014
Author: Zheng Zhou, Xin Si
Journal of Mathematical Study, Vol. 47 (2014), Iss. 4 : pp. 379–387
Abstract
In this paper, the following $p(x)$-Laplacian equation: $$Δ_{p(x)}u+V(x)|u|^{p(x)-2}u=Q(x)f(x,u), \ \ x∈\mathbb{R}^N,$$ is studied. By applying an extension of Clark's theorem, the existence of infinitely many solutions as well as the structure of the set of critical points near the origin are obtained.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v47n4.14.02
Journal of Mathematical Study, Vol. 47 (2014), Iss. 4 : pp. 379–387
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Clark theorem infinitely many solutions $p(x)$-Laplace variational methods.