Zupei Shen, Zhiqing Han
Abstract:
In this article, we study the existence and multiplicity of solutions
of the quasilinear Schrodinger equation
on
,
where the potential
allows sign changing and the
nonlinearity satisfies conditions weaker than the classical
Ambrosetti-Rabinowitz condition. By a local linking theorem and the fountain
theorem, we obtain the existence and multiplicity of solutions for the equation.
Submitted October 24, 2014. Published April 10, 2015.
Math Subject Classifications: 37J45, 58E05, 34C37, 70H05.
Key Words: Quasilinear Schrodinger equation; local linking;
fountain theorem; indefinite potential.
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Zupei Shen School of Mathematical Sciences Dalian University of Technology Dalian 116024, China email: pershen@mail.dlut.edu.cn |
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Zhiqing Han School of Mathematical Sciences Dalian University of Technology Dalian 116024, China email: hanzhiq@dlut.edu.cn Phone(Fax) +86 41184707268 |
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