The existence of multiple solutions for the Klein-Gordon equation with concave and convex nonlinearities coupled with Born-Infeld theory on R-3

Chen Shang-Jie; Song Shu-Zhi

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The existence of multiple solutions for the Klein-Gordon equation with concave and convex nonlinearities coupled with Born-Infeld theory on R-3

机译：具有凹凸非线性的Klein-Gordon方程的多种解决方案的存在与R-3播生理论耦合

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摘要

In this paper, we prove the existence of multiple solutions for the following Klein-Gordon equation with concave and convex nonlinearities coupled with Born-Infeld theory

机译：在本文中，我们证明了具有凹凸非线性的以下Klein-Gordon方程的多种解决方案的存在，耦合与出生的理论

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来源
《Nonlinear analysis. Real world applications》 |2017年第2017期|共18页
作者
Chen Shang-Jie; Song Shu-Zhi;
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作者单位

Chongqing Technol &

Business Univ Sch Math &

Stat Chongqing 400067 Peoples R China;

Chongqing Technol &

Business Univ Sch Math &

Stat Chongqing 400067 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学分析;
关键词
Klein-Gordon equation; Born-Infeld theory; Concave and convex nonlinearities; Ekeland's variational principle; Mountain Pass Theorem;

机译：Klein-Gordon方程;出生于熵理论;凹凸非线性;ekeland的变分原理;山地通过定理;

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专利

1. The existence of multiple solutions for the Klein-Gordon equation with concave and convex nonlinearities coupled with Born-Infeld theory on R-3 [J] . Chen Shang-Jie, Song Shu-Zhi Nonlinear analysis. Real world applications . 2017,第期

机译：具有凹凸非线性的Klein-Gordon方程的多种解决方案的存在与R-3播生理论耦合
2. Existence and multiplicity of solutions for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory on bounded domain [J] . Kaimin Teng Differential Equations Applications . 2012,第3期

机译：非线性Klein-Gordon方程与Born-Infeld理论在有界域上解的存在性和多重性
3. Existence of multiple solutions for fractional p -Kirchhoff equations with concave-convex nonlinearities [J] . Libo Yang, Tianqing An Boundary value problems . 2017,第1期

机译：具有凹-凸非线性的分数阶p -Kirchhoff方程的多个解的存在性
4. Existence and Geometry of Global Attractor for Reaction-Diffusion Equation with Concave-Convex Nonlinearity [C] . Guangxia Chen IEEE international conference on computer science and information technology . 2011

机译：凸-凸非线性反应扩散方程整体吸引子的存在与几何
5. Global Existence and Dispersion of Solutions to Nonlinear Klein-Gordon Equations with Potential. [D] . Wildman, Chad Thornton. 2014

机译：带电势的非线性Klein-Gordon方程解的整体存在和色散。
6. Exact solutions for (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations [O] . Kamruzzaman Khan, M Ali Akbar, S M Rayhanul Islam -1

机译：（1 + 1）维非线性色散修正的Benjamin-Bona-Mahony方程和Klein-Gordon耦合方程的精确解
7. Existence and multiplicity of solutions for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory on bounded domain [O] . Kaimin Teng 2012

机译：非线性Klein-Gordon方程的存在和多重解决方案与界域出生 - 熵型理论耦合

The existence of multiple solutions for the Klein-Gordon equation with concave and convex nonlinearities coupled with Born-Infeld theory on R-3

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