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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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

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record_format	Article
spelling	doaj-dd32978256f24b248a25de78e9fe20162020-11-24T22:16:25ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-06-012016166,111Critical quasilinear Schrodinger equation with sign-changing potentialLi-Li Wang0Zhi-Qing Han1 Dalian Univ. of Technology, China Tonghua Normal Uninv., Jilin, China 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.http://ejde.math.txstate.edu/Volumes/2016/166/abstr.htmlQuasilinear Schrodinger equationcritical growthsign-changing potentialmountain pass theorem(PS)c sequence
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Li-Li Wang Zhi-Qing Han
spellingShingle	Li-Li Wang Zhi-Qing Han Critical quasilinear Schrodinger equation with sign-changing potential Electronic Journal of Differential Equations Quasilinear Schrodinger equation critical growth sign-changing potential mountain pass theorem (PS)c sequence
author_facet	Li-Li Wang Zhi-Qing Han
author_sort	Li-Li Wang
title	Critical quasilinear Schrodinger equation with sign-changing potential
title_short	Critical quasilinear Schrodinger equation with sign-changing potential
title_full	Critical quasilinear Schrodinger equation with sign-changing potential
title_fullStr	Critical quasilinear Schrodinger equation with sign-changing potential
title_full_unstemmed	Critical quasilinear Schrodinger equation with sign-changing potential
title_sort	critical quasilinear schrodinger equation with sign-changing potential
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2016-06-01
description	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.
topic	Quasilinear Schrodinger equation critical growth sign-changing potential mountain pass theorem (PS)c sequence
url	http://ejde.math.txstate.edu/Volumes/2016/166/abstr.html
work_keys_str_mv	AT liliwang criticalquasilinearschrodingerequationwithsignchangingpotential AT zhiqinghan criticalquasilinearschrodingerequationwithsignchangingpotential
_version_	1725789904553639936

Critical quasilinear Schrodinger equation with sign-changing potential

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