Blow-up phenomena and asymptotic profiles of ground states of quasilinear elliptic equations with H1-supercritical nonlinearities

被引：23

作者：

Adachi, Shinji ^{[1
]}

Shibata, Masataka ^{[2
]}

Watanabe, Tatsuya ^{[3
]}

机构：

[1] Shizuoka Univ, Dept Math & Syst Engn, Naka Ku, Hamamatsu, Shizuoka 4328561, Japan

[2] Tokyo Inst Technol, Dept Math, Meguro Ku, Tokyo 1528551, Japan

[3] Kyoto Sangyo Univ, Dept Math, Fac Sci, Kita Ku, Kyoto 6038555, Japan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年 / 256卷 / 04期

关键词：

Quasilinear elliptic equation; Blow-up of ground state; SCALAR FIELD-EQUATIONS; SCHRODINGER-EQUATIONS; POSITIVE SOLUTIONS; SOLITON-SOLUTIONS; STANDING WAVES; EXISTENCE; STABILITY;

D O I：

10.1016/j.jde.2013.11.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with asymptotic profiles of ground states for a class of quasilinear Schrodinger equations with H1-supercritical nonlinearities. We study the blow-up rate of ground states by using the dual variational structure of equations as well as various variational methods. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：1492 / 1514

页数：23

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