The existence of nontrivial solution to a class of superlinear Schr?dinger equation

GUO Ai; LI Xiao-dan

doi:10.3969/j.issn.1008-0171.2016.02.002

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DOI: 10.3969/j.issn.1008-0171.2016.02.002

The existence of nontrivial solution to a class of superlinear Schr?dinger equation

GUO Ai

LI Xiao-dan

Abstract：Using a change of variable, we concert a class of superlinear Schr?dinger equation into a simple elliptic one. By using Mountain pass Lemma, we show the existence of nontrivial solution for a Schrodinger equation.

Keywords：Schr?dinger equationmountain pass theoremnontrivial solution

Publication Date：2016-01-01

Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)

Pages：7( 5-11 )

ISSN：1008-0171

Year, Vol.(Issue)：2016,34(2)