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| Existence and Asymptotic Behavior of Ground State Solutions for Quasilinear Schr¨odinger Equations with Unbounded Potential* |
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Citation： |
Yanfang XUE.Existence and Asymptotic Behavior of Ground State Solutions for Quasilinear Schr¨odinger Equations with Unbounded Potential*[J].Chinese Annals of Mathematics B,2023,44(3):345~360 |
| Page view： 776
Net amount： 598 |
Authors： |
Yanfang XUE; |
Foundation： |
National Natural Science Foundation of China (Nos. 11971393,11901499, 11801465) and Nanhu Scholar Program for Young Scholars of XYNU (No. 201912). |
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| Abstract： |
The authors study the existence of standing wave solutions for the quasilinear Schr¨odinger 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. |
Keywords： |
Quasilinear Schr¨odinger equation, Ground state, Critical Hardy-Sobolev exponents, Coercive |
Classification： |
35J62, 35J20 |
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