ASYMPTOTIC BEHAVIOR OF POSITIVE SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS WITH GENERAL NONLINEARITIES

Shinji Adachi; Masataka Shibata; Tatsuya Watanabe

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ASYMPTOTIC BEHAVIOR OF POSITIVE SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS WITH GENERAL NONLINEARITIES

机译：一类具有一般非线性拟线性椭圆型方程正解的渐近性。

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摘要

We study the asymptotic behavior of the ground state for a class of quasilinear Schr?dinger equations with general nonlinearities. By the variational argument and dual approach, we show the asymptotic non-degeneracy and uniqueness of the ground state.

机译：我们研究了一类具有一般非线性的拟线性Schrdinger方程的基态的渐近行为。通过变分论证和对偶方法，我们证明了基态的渐近非简并性和唯一性。

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《Communications on pure and applied analysis》 |2014年第1期|共22页
作者
Shinji Adachi; Masataka Shibata; Tatsuya Watanabe;
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正文语种 eng
中图分类数学;
关键词
Quasilinear elliptic equation; asymptotic behavior;

机译：拟线性椭圆方程;渐近行为;

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专利

1. ASYMPTOTIC BEHAVIOR OF POSITIVE SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS WITH GENERAL NONLINEARITIES [J] . Shinji Adachi, Masataka Shibata, Tatsuya Watanabe Communications on pure and applied analysis . 2014,第1期

机译：一类具有一般非线性拟线性椭圆型方程正解的渐近性。
2. Existence and asymptotic behavior of solutions for a class of nonlinear elliptic equations with Neumann condition [J] . Marques I Nonlinear Analysis: An International Multidisciplinary Journal . 2005,第1a2期

机译：一类具诺伊曼条件的非线性椭圆方程解的存在性与渐近性。
3. Asymptotic behavior of positive solutions of a class of systems of second order nonlinear differential equations [J] . Jaros Jaroslav, Kusano Takasi Electronic Journal of Qualitative Theory of Differential Equations . 2013,第45a48期

机译：一类二阶非线性微分方程系统正解的渐近行为
4. Multiple existence of positive solutions to quasilinear elliptic equations involving indefinite lower terms [C] . Kimiaki Narukawa International Conference on Mathematical Problems in Engineering, Aerospace and Sciences . 2012

机译：拟线性椭圆方程的阳性解的多重存在涉及无限期术语
5. Topics in nonlinear elliptic equations: (1) Bifurcation theory of nonlinear elliptic equations; (2) Spike layer solutions of the Cahn-Hilliard equation. [D] . Shi, Junping. 1998

机译：非线性椭圆方程的主题：（1）非线性椭圆方程的分岔理论；（2）Cahn-Hilliard方程的尖峰层解。
6. Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy–Sobolev exponent and singular nonlinearity [O] . Liejun Shen -1

机译：具有Hardy-Sobolev指数和奇异非线性的Kirchhoff型方程解的多重性和渐近性
7. ASYMPTOTIC BEHAVIOR OF POSITIVE SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS WITH GENERAL NONLINEARITIES [O] . Shinji Adachi, Masataka Shibata, Tatsuya Watanabe 2014

机译：一类具有一般非线性拟线性椭圆型方程正解的渐近性。

ASYMPTOTIC BEHAVIOR OF POSITIVE SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS WITH GENERAL NONLINEARITIES

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