VARIATIONAL METHODS IN THE STUDY OF INEQUALITY PROBLEMS FOR NONLINEAR ELLIPTIC SYSTEMS WITH LACK OF COMPACTNESS

Teodora-Liliana Dinu

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VARIATIONAL METHODS IN THE STUDY OF INEQUALITY PROBLEMS FOR NONLINEAR ELLIPTIC SYSTEMS WITH LACK OF COMPACTNESS

机译：缺乏紧性的非线性椭圆系统不等式问题研究的各种方法

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We establish the existence of an entire weak solution for a class of stationary Schroedinger systems with subcritical discontinuous nonlinear-ities and lower bounded potentials that blow-up at infinity. The proof relies on Chang's version of the Mountain

机译：我们为一类具有次临界不连续非线性性质和无限大爆炸下界势的平稳Schroedinger系统建立了一个完整的弱解。证明依据张的版本的山

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来源
《Real analysis exchange》 |2008年第1期|p.1-14|共14页
作者
Teodora-Liliana Dinu;
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作者单位

Department of Mathematics, 'Fratii Buzesti' College, Bd. Stirbei-Voda No. 5, 200352 Craiova, Romania;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
nonlinear elliptic system; entire solution; Lipschitz functional; Clarke generalized gradient;

机译：非线性椭圆系统;整体解;Lipschitz泛函;Clarke广义梯度;

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专利

1. Existence results for some nonlinear elliptic system with lack of compactness [J] . Velin J. Nonlinear Analysis: An International Multidisciplinary Journal . 2003,第3期

机译：一类缺乏紧性的非线性椭圆系统的存在性结果
2. A p-version finite element method for nonlinear elliptic variational inequalities in 2D [J] . Krebs A, Stephan EP Numerische Mathematik . 2007,第3期

机译：二维非线性椭圆变分不等式的p版本有限元方法
3. A p-version finite element method for nonlinear elliptic variational inequalities in 2D [J] . Andreas Krebs, Ernst P. Stephan Numerische Mathematik . 2007,第3期

机译：二维非线性椭圆形变分不等式的p版本有限元方法
4. A SQP-Augmented Lagrangian Method for Optimal Control of Semilinear Elliptic Variational Inequalities [C] . M. Bergounioux, M. Haddou International Conference on Control of Distributed Parameter Systems . 2002

机译：半线性椭圆变分不等式最优控制的SQP增强拉格朗日方法
5. Nonlinear elliptic equations with nonsmooth potential: Variational and topological methods =EQUA??ES ELíPTICAS N?O LINEARES COM POTENCIAL N?O SUAVE MéTODOS VARIACIONAIS E TOPOLóGICOS [D] . Santos, Sandrina Rafaela Andrade. 2009

机译：非椭圆方程与非摩罗语电位：变分和拓扑方法=等于椭圆形N≤潜在n的线性Δtem≤x柔和的变化和拓扑方法
6. A new error estimate on uniform norm of Schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms [O] . Allaoua Mehri, Samira Saadi -1

机译：具有非线性源项的椭圆拟变分不等式的Schwarz算法统一范数的新误差估计
7. Erratum to “Projection-proximal methods for general variational inequalities” J. Math. Anal. Appl. 318 (2006) 53–62. Erratum to “The improved LaSalle-type theorems for stochastic functional differential equations” J. Math. Anal. Appl. 318 (2006) 134–154. Erratum to “Iterative approximation of fixed points of nonexpansive mappings” J. Math. Anal. Appl. 318 (2006) 288–295. Erratum to “On the stability of the orthogonal Pexiderized Cauchy equation” J. Math. Anal. Appl. 318 (2006) 211–223. Erratum to “On semilinear elliptic equations involving concave–convex nonlinearities and sign-changing weight function” J. Math. Anal. Appl. 318 (2006) 253–270 [O] . The Publisher 2006

机译：勘误表“一般变分不等式的投影近邻方法” J．数学。肛门应用318（2006）53-62。勘误“对随机泛函微分方程的改进的LaSalle型定理” J.数学。肛门应用318（2006）134–154。勘误表为“非膨胀映射的不动点的迭代逼近” J.数学。肛门应用318（2006）288–295。勘误表“关于正交Pexiderized Cauchy方程的稳定性” J.数学。肛门应用318（2006）211–223。参见“关于涉及凹凸非线性和符号变权函数的半线性椭圆方程”的勘误。数学。肛门应用318（2006）253–270
8. Convergence of Nonlinear Elliptic Operators and Application to a Quasi Variational Inequality [R] . Garroni, M. G., Gossez, J. P. 1980

机译：非线性椭圆算子的收敛性及其在拟变分不等式中的应用

VARIATIONAL METHODS IN THE STUDY OF INEQUALITY PROBLEMS FOR NONLINEAR ELLIPTIC SYSTEMS WITH LACK OF COMPACTNESS

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