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一类非线性椭圆方程Neum ann问题正解的存在性 被引量:1

The Existence of a Positive Solution to a Class of Nonlinear Elliptic Equations with Neumann Boundary
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摘要 利用变形后的山路引理研究一类非线性椭圆方程 Neumann问题 ,并得到其正解的存在性与非存在性结果 . By applying mountain pass lemma,studies a class of nonlinear elliptic equations with Neumann boundary,and obtains the existence and non existence of its positive solution.
作者 彭双阶
机构地区 孝感学院数学系
出处 《河北师范大学学报(自然科学版)》 CAS 2000年第3期286-288,共3页 Journal of Hebei Normal University:Natural Science
基金 国家自然科学基金资助项目!( 79770 0 2 5)
关键词 NEUMANN问题 非线性椭圆型方程 正解 存在性 mountain pass lemma Neumann problem critical point
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同被引文献7

  • 1Amborosetti A,Rabinowitz P H.dual variational in critical methods in critical theory and application[J].J.funct.Anal.,1973,14:349-381.
  • 2Brezis H,Nirenberg L.Positive solutions of nonlinear ellipitic equation involving critical sobolev exponents[J].comm.pure.appl.math.,1983,36:437-477.
  • 3Rabinowitz P H.Minimax methods in critical point theory with Application to differitional equations:CBMs Regional Conference Series in math,No.65[C].Rhode Island:American Mathermatical Society,1986.
  • 4Stuart C A.Self trapping of an electromagnetic field and bifuraction from the essential specturm[J].Arch.rat.Mech.Anal.,1991,113:65-96.
  • 5Stuart C A.Magnetic field wave guides[M]//Caristi Mitidieri.reaction Difusion systems.New York:Marcel Dekker,1997.
  • 6Zhou Huansong.Existence of asymptotically linear Dirichlet problem[J].nonlinear anal.,2001,44:909-918.
  • 7Mawhin J,Willem M.Gritical Point Theory and Hamiltonian Systems[M].New York:Springer-Verlag,1989.

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