Infinitely many nodal solutions for a class of quasilinear elliptic equations

In this paper, we study the existence of infinitely many nodal solutions for the following quasilinear elliptic equation \begin{equation*} \begin{cases} -\nabla\cdot\left[\phi'(|\nabla u|^2)\nabla u\right]+|u|^{\alpha-2}u=f(u) , \quad x\in \mathbb{R}^N,\\ u(x)\rightarrow 0, \quad \mbox{as} ~|x|...

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Bibliographic Details
Main Author: Xiaolong Yang
Format: Article
Language:English
Published: University of Szeged 2021-04-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8923