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Nehari流形方法在变分问题中的应用概述

Summarization on the Method of Nehari Manifold in Variational Problems
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摘要 本文介绍了变分问题中的Nehari流形方法,重点阐述了其在变分问题中的若干应用实例. The method of Nehari manifold is introduced, and some applications are given in variational problems.
出处 《中央民族大学学报(自然科学版)》 2013年第4期82-85,共4页 Journal of Minzu University of China(Natural Sciences Edition)
关键词 NEHARI流形 变分学 纤维映射 边值问题 基态解 the method of Nehari manifold variational method fibering mapping BVP groundstate solutions
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参考文献5

  • 1ZHI-QIANG WANG,Solutions for Quasilinear Schrodingen Equations via the Nehari Method[J].Communications in Partial Differential Equations,2004,(29):879-901.
  • 2D.G.COSTA.An Invitation to Variational Methods in Differential Equations[M].Boston:Birkhauser,2007.
  • 3ANDRZEJ SZULKIN,TOBIAS WETH.The method of Nehari mainfold[M]//Handbook of Nonconvex Analysis and Applications.Boston:International Press,2010,597-632.
  • 4K.J.BROWN,Y.ZHANG.The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function[J].J.Differential Equations,2003,(193):481-499.
  • 5K.J.BROWN.The Nehari manifold for a Semilinear elliptic equation involving a sublinear term[J].Calculus of Variations,2005,(22):483-494.

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