Soliton solutions for a class of generalized quasilinear Schrödinger equations

In this paper, critical point theory is used to show the existence of nontrivial solutions for a class of generalized quasilinear Schrödinger equations $ \begin{equation*} -\Delta_pu-{|u|}^{\sigma-2}uh'({|u|}^\sigma)\Delta_ph({|u|}^\sigma) = f(x,u) \end{equation*} $ in a smooth bounded do...

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Bibliographic Details
Main Author: Rui Sun
Format: Article
Language:English
Published: AIMS Press 2021-06-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021563?viewType=HTML