Standing waves for 4-superlinear Schrodinger-Kirchhoff equations

Chen Shaowei; Liu Shibo

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Standing waves for 4-superlinear Schrodinger-Kirchhoff equations

机译：4-超线性Schrodinger-Kirchhoff方程的驻波

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摘要

We consider standing waves for 4-superlinear Schrodinger-Kirchhoff equations in RN with potential indefinite in sign. The nonlinearity considered in this study satisfies a condition that is much weaker than the classical Ambrosetti-Rabinowitz condition. We obtain a nontrivial solution and, in the case of odd nonlinearity, an unbounded sequence of solutions via the Morse theory and the fountain theorem, respectively. Copyright (c) 2014 John Wiley & Sons, Ltd.

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《Mathematical Methods in the Applied Sciences》 |2015年第11期|共9页
作者
Chen Shaowei; Liu Shibo;
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正文语种 eng
中图分类数学;
关键词
Schrodinger-Kirchhoff equations; Palais-Smale condition; Morse theory; fountain theorem;

机译：Schrodinger-Kirchhoff方程;Palais-Smale条件;摩尔斯理论;喷泉定理;

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专利

1. Standing waves for 4-superlinear Schrodinger-Kirchhoff equations [J] . Chen Shaowei, Liu Shibo Mathematical Methods in the Applied Sciences . 2015,第11期

机译：4-超线性Schrodinger-Kirchhoff方程的驻波
2. Standing waves with large frequency for 4-superlinear Schrodinger-Poisson systems [J] . Chen Huayang, Liu Shibo Annali di matematica pura ed applicata . 2015,第1期

机译：4超线性Schrodinger-Poisson系统的高频驻波
3. Existence of stable standing waves and instability of standing waves to a class of quasilinear Schrodinger equations with potential [J] . Chen JQ, Rocha EM Dynamics of partial differential equations . 2011,第2期

机译：一类带电势的拟线性薛定inger方程的稳定驻波存在性和驻波不稳定性
4. Standing Waves in Systems of Perturbed Sine-Gordon Equations [C] . Radoslava Hristova, Ivan Hristov Annual meeting of Bulgarian section of SIAM . 2017

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5. Existence and multiplicity results on standing wave solutions of some coupled nonlinear Schrodinger equations. [D] . Tian, Rushun. 2013

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6. Dynamical behaviour of travelling wave solutions to the conformable time-fractional modified Liouville and mRLW equations in water wave mechanics [O] . Abdulla - Al Mamun, Samsun Nahar Ananna, Tianqing An, 2021

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7. Standing waves with large frequency for 4-superlinear Schrödinger-Poisson systems [O] . Huayang Chen, Shibo Liu 2013

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8. Analytic Solutions of the Optical Bistability Equations for a Standing Wave Cavity [R] . Roy, R., Zubairy, M. S. 1979

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Standing waves for 4-superlinear Schrodinger-Kirchhoff equations

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