论文标题
非线性麦克斯韦 - 克莱因 - 凯琳 - 格尔登方程的孤立波的非依赖主义极限
Nonrelativistic limit of solitary waves for nonlinear Maxwell-Klein-Gordon equations
论文作者
论文摘要
我们研究了从非线性Maxwell-Klein-gordon方程（NMKG）到非线性Schrodinger-Poisson方程（NSP）的孤立波的非偏差性极限。众所周知，正溶液的存在或多样性取决于方程所包含的参数的选择。在本文中，我们证明，对于给定的正孤浪，NSP的孤独波（在Ruiz的作品\ Cite {R}中都可以发现，在非拒绝主义极限下，NMKG的一个正孤立波对应了。值得注意的是，我们的结果包含了具有较低阶非级非线性的（NMKG）阳性解决方案的新结果。
We study the nonrelativistic limit of solitary waves from Nonlinear Maxwell-Klein-Gordon equations (NMKG) to Nonlinear Schrodinger-Poisson equations (NSP). It is known that the existence or multiplicity of positive solutions depends on the choices of parameters the equations contain. In this paper, we prove that for a given positive solitary wave of NSP, which is found in Ruiz's work \cite{R}, there corresponds a family of positive solitary waves of NMKG under the nonrelativistic limit. Notably, our results contain a new result of existence of positive solutions to (NMKG) with lower order nonlinearity.
