Critical quasilinear Schrodinger equation with sign-changing potential

Critical quasilinear Schrodinger equation with sign-changing potential

We study the existence of nontrivial solutions for a class of quasilinear Schrodinger equations in R^N with critical nonlinearity, where the potential is allowed to change signs. The quasilinear equations are reduced to semilinear equations by using a change of variable. The geometric hypotheses...

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Bibliographic Details
Main Authors: Li-Li Wang, Zhi-Qing Han
Format: Article
Language:English
Published: Texas State University 2016-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Quasilinear Schrodinger equation
critical growth
sign-changing potential
mountain pass theorem
(PS)c sequence
Online Access:http://ejde.math.txstate.edu/Volumes/2016/166/abstr.html
Description
Summary:We study the existence of nontrivial solutions for a class of quasilinear Schrodinger equations in R^N with critical nonlinearity, where the potential is allowed to change signs. The quasilinear equations are reduced to semilinear equations by using a change of variable. The geometric hypotheses of a mountain pass theorem without compactness conditions are satisfied so that the equation possesses a nontrivial solution.
ISSN:1072-6691

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