Moser

Moser的基本解释

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[人名] 莫泽

与Moser相关的网络例句 [注：此内容来源于网络，仅供参考]

Firstly, the eigenvalue problem of a class of second order elliptic equation with critical potential and indefinite weights is considered. Then, using critical point theory, Trudinger-Moser inequality and the properties of the first eigenvalue, we prove the existence of a nontrivial solution for a class of nonlinear elliptic with critical potentialand indefinite weights in R~2. Secondly, we prove the existence of nontrivial solutions for a class of subcritical and critical elliptic systems with indefinite part in R~2 byusing a generalized linking theorem, Trudinger-Moser inequality and concentration-compactness principle.5. The existence of at least three weak solutions for discrete boundary value problem is established by using a three critical point theorem introduced by Ricceri.

首先，讨论了R~2中一类带不定权且含临界位势的二阶椭圆型方程的特征值问题，并借此特征值问题的第一特征值性质，利用山路引理及Trudinger-Moser不等式，证明了R~2中一类带不定权且含临界位势的非线性椭圆型方程非平凡解的存在性；其次，利用广义环绕定理，Trudinger-Moser不等式及集中列紧原理，得到了R~2上一类具有强不定部分的半线性椭圆型方程组在非线性项分别为次临界增长和临界增长情形下非平凡解的存在性。

Birkhoff, Siegel, Kolmogorov, Arnold, Moser, Herman, and many others investigated the ideas of stability and found complicated behavior for systems arising in celestial mechanics and other such physical systems, which could be described by what are called Hamiltonian differential equations .

Birkhoff ， Siegel ， Kolmogorov ， Arnold ， Moser ， Herman 和其他很多研究者研究稳定性的思想，发现了具有复杂行为的系统出现在天体力学和其它相似的物理系统中，这些都可以用称为 Hamilton 微分方程来描述。

Critical point theory;nonlinear elliptic differential and difference equation;existence of solution;multiply results;bifurcation;Trudinger—Moser inequality;applications

论文导师刘三阳，论文学位博士，论文专业应用数学论文单位西安电子科技大学，点击次数 4，论文页数 116页File Size3483K

与Moser相关的网络解释 [注：此内容来源于网络，仅供参考]

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