Existence and Asymptotic Behavior of Ground State Solutions for Quasilinear Schr?dinger Equations with Unbounded Potential

The authors study the existence of standing wave solutions for the quasilinear Schr?dinger equation with the critical exponent and singular coefficients.By applying the mountain pass theorem and the concentration compactness principle,they get a ground state solution.Moreover,the asymptotic behavior...

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Published in数学年刊B辑（英文版） Vol. 44; no. 3; pp. 345 - 360
Main Authors Yanfang XUE, Xiaojing ZHONG, Chunlei TANG
Format Journal Article
LanguageEnglish
Published School of Mathematics and Statistics,Xinyang Normal University,Xinyang 464000,Henan,China%School of History,Culture and Ethnology,Southwest University,Chongqing 400715,China%School of Mathematics and Statistics,Southwest University,Chongqing 400715,China 2023
Subjects
Quasilinear Schr?dinger equation
Critical Hardy-Sobolev exponents
Ground state
Coercive
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ISSN0252-9599
DOI10.1007/s11401-023-0019-8

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Summary:The authors study the existence of standing wave solutions for the quasilinear Schr?dinger equation with the critical exponent and singular coefficients.By applying the mountain pass theorem and the concentration compactness principle,they get a ground state solution.Moreover,the asymptotic behavior of the ground state solution is also obtained.
ISSN:0252-9599
DOI:10.1007/s11401-023-0019-8