@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} }