Xia Liu, Tao Zhou, Haiping Shi
Abstract:
The discrete nonlinear Schrodinger equation is a nonlinear
lattice system that appears in many areas of physics such as
nonlinear optics, biomolecular chains and Bose-Einstein condensates.
In this article, we consider a class of discrete nonlinear
Schrodinger equations with unbounded potentials. We obtain some
new sufficient conditions on the multiplicity results of ground
state solutions for the equations by using the symmetric mountain pass
lemma. Recent results in the literature are greatly improved.
Submitted September 8, 2016. Published February 2, 2017.
Math Subject Classifications: 39A12, 39A70, 35C08.
Key Words: Ground state solutions; critical point theory;
discrete nonlinear Schrodinger equation.
Show me the PDF file (228 KB), TEX file for this article.
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Xia Liu Oriental Science and Technology College Hunan Agricultural University Changsha 410128, China. email: xia991002@163.com |
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Tao Zhou School of Business Administration South China University of Technology Guangzhou 510640, China email: zhoutaoscut@hotmail.com |
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Haiping Shi Modern Business and Management Department Guangdong Construction Polytechnic Guangzhou 510440, China email: shp7971@163.com |
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