Multiple small solutions for $p(x)$-Schrödinger equations with local sublinear nonlinearities via genus theory
In this paper, we deal with the following $p(x)$-Schrödinger problem: \begin{equation*} \begin{cases} -\text{div}(|\nabla u|^{p(x)-2}\nabla u)+V(x)\left\vert u\right\vert ^{p(x)-2}u=f(x,u) & \hbox{in $\mathbb{R}^{N}$ ;} \\ u\in W^{1,p(x)}(\mathbb{R}^{N}), & \hbox{} \end{cases} \end{eq...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2017-11-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5912 |