Asymptotical behavior of ground state solutions for critical quasilinear Schrödinger equation

Yongpeng CHEN, Yuxia GUO, Zhongwei TANG

Front. Math. China ›› 2020, Vol. 15 ›› Issue (1) : 21-46.

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PDF(328 KB)
Front. Math. China ›› 2020, Vol. 15 ›› Issue (1) : 21-46. DOI: 10.1007/s11464-020-0825-1
ssRESEARCH ARTICLE
ssRESEARCH ARTICLE

Asymptotical behavior of ground state solutions for critical quasilinear Schrödinger equation

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Abstract

This paper is concerned with the existence and asymptotical behavior of positive ground state solutions for a class of critical quasilinear Schrodinger equation. By using a change of variables and variational argument, we prove the existence of positive ground state solution and discuss their asymptotical behavior.

Keywords

Quasilinear Schrödinger equation / critical exponent / ground state solution / asymptotical behavior

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Yongpeng CHEN, Yuxia GUO, Zhongwei TANG. Asymptotical behavior of ground state solutions for critical quasilinear Schrödinger equation. Front. Math. China, 2020, 15(1): 21‒46 https://doi.org/10.1007/s11464-020-0825-1

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