Existence and asymptotic behavior for the ground state of quasilinear elliptic equation

2017/03/01 by Xiaoyu Zeng, Yimin Zhang, Zeng, Xiaoyu +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1703.00183

openalex publication_date 2017/03/01 · openalex created_date 2017/04/07 · openalex updated_date 2026/07/28

Abstract

In this paper, we are concerned with the existence and asymptotic behavior of minimizers for a minimization problem related to some quasilinear elliptic equations. Firstly, we proved that there exist minimizers when the exponent q equals to the critical case q^*=2+(4)/(N), which is different from that of \citecjs. Then, we proved that all minimizers are compact as q tends to the critical case q^* when aa^*.

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