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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2016-06-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2016/166/abstr.html |
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. |
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ISSN: | 1072-6691 |