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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Texas State University
2016-06-01
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Online Access: | http://ejde.math.txstate.edu/Volumes/2016/166/abstr.html |
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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 |