AN IMPROVED RESULT ON GROUND STATE SOLUTIONS OF QUASILINEAR SCHRODINGER EQUATIONS WITH SUPER-LINEAR NONLINEARITIES

被引：2

作者：

Chen, Sitong ^{[1
]}

Gao, Zu ^{[1
]}

机构：

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2019年 / 99卷 / 02期

基金：

中国国家自然科学基金;

关键词：

quasilinear Schrodinger equation; ground state solution; Pohozaev identity; NEHARI-POHOZAEV TYPE; EXISTENCE;

D O I：

10.1017/S0004972718001235

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using variational and some new analytic techniques, we prove the existence of ground state solutions for the quasilinear Schrodinger equation with variable potentials and super-linear nonlinearities. Moreover, we establish a minimax characterisation of the ground state energy. Our result improves and extends the existing results in the literature.

引用

页码：231 / 241

页数：11

共 19 条

[1] Electron self-trapping in a discrete two-dimensional lattice [J].

Brizhik, L ;

Eremko, A ;

Piette, B ;

Zakrzewski, W .

PHYSICA D, 2001, 159 (1-2) :71-90

[2]

Chen J., 2018, ELECT J DIFFERENTIAL, V2018

[3]

Chen S. T., 2018, ELECT J DIFFERENTIAL, V2018

[4] Ground state solutions for generalized quasilinear Schrodinger equations with variable potentials and Berestycki-Lions nonlinearities [J].

Chen, Sitong ;

Tang, Xianhua .

JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (08)

[5] IMPROVED RESULTS FOR KLEIN-GORDON-MAXWELL SYSTEMS WITH GENERAL NONLINEARITY [J].

Chen, Sitong ;

Tang, Xianhua .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 38 (05) :2333-2348

[6] Solutions for a quasilinear Schrodinger equation: a dual approach [J].

Colin, M ;

Jeanjean, L .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 56 (02) :213-226

[7] Electrons on hexagonal lattices and applications to nanotubes [J].

Hartmann, B ;

Zakrzewski, WJ .

PHYSICAL REVIEW B, 2003, 68 (18)

[8] On the existence of bounded Palais-Smale sequences and application to a Landesman-Lazer-type problem set on RN [J].

Jeanjean, L .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1999, 129 :787-809

[9] Solutions for quasilinear Schrodinger equations via the Nehari method [J].

Liu, JQ ;

Wang, YQ ;

Wang, ZQ .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2004, 29 (5-6) :879-901

[10] Soliton solutions for quasilinear Schrodinger equations, II [J].

Liu, JQ ;

Wang, YQ ;

Wang, ZQ .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 187 (02) :473-493

← 1 2 →