Infinitely Many Clark Type Solutions to a $p(x)$-Laplace Equation
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@Article{JMS-47-379,
author = {Zhou , Zheng and Si , Xin},
title = {Infinitely Many Clark Type Solutions to a $p(x)$-Laplace Equation},
journal = {Journal of Mathematical Study},
year = {2014},
volume = {47},
number = {4},
pages = {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.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v47n4.14.02}, url = {http://global-sci.org/intro/article_detail/jms/9963.html} }
TY - JOUR
T1 - Infinitely Many Clark Type Solutions to a $p(x)$-Laplace Equation
AU - Zhou , Zheng
AU - Si , Xin
JO - Journal of Mathematical Study
VL - 4
SP - 379
EP - 387
PY - 2014
DA - 2014/12
SN - 47
DO - http://doi.org/10.4208/jms.v47n4.14.02
UR - https://global-sci.org/intro/article_detail/jms/9963.html
KW - Clark theorem, infinitely many solutions, $p(x)$-Laplace, variational methods.
AB -
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.
Zheng Zhou & Xin Si. (2020). Infinitely Many Clark Type Solutions to a $p(x)$-Laplace Equation.
Journal of Mathematical Study. 47 (4).
379-387.
doi:10.4208/jms.v47n4.14.02
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