Existence of positive solutions for a class of $p$-Laplacian type generalized quasilinear Schrödinger equations with critical growth and potential vanishing at infinity
In this paper, we study the existence of positive solutions for the following generalized quasilinear Schrödinger equation \begin{equation*} -\operatorname{div}(g^p(u)|\nabla u|^{p-2}\nabla u)+g^{p-1}(u)g'(u)|\nabla u|^p+V(x)|u|^{p-2}u =K(x)f(u)+Q(x)g(u)|G(u)|^{p^*-2}G(u),\qquad x\in\mathbb R^N...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2023-01-01
|
| 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=10066 |