非线性椭圆型边值问题解的存在性

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

基金项目: 安徽省教委资助项目(2001kj187zc)

Existence of Solutions for Nonlinear Elliptic Boundary Value Problems

1.
Department of Mathematics, Nanjing University, Nanjing 210093, China;
2.
Department of Mathematics, Fuyang Teacher's College, Fuyang, Anhui 236032, China

摘要: Hilbert空间方法被用于一类二阶半线性椭圆型边值问题并得出了某些条件下的解的存在性.
- Hilbert空间 /
- 强制条件 /
- 紧 /
- 嵌入 /
- 椭圆型方程
Abstract: Hilbert space method is applied to a class of semilinear second order elliptic boundary value problems and the existence of solutions is obtained with some restrictions.
- Hilbert space /
- coercivity condition /
- compact /
- imbedding mapping /
- elliptic equation

[1]	Kannan R,Locker J.On a class of nonlinear boundary value problems[J].J Differential Equations,1977,26(1):1-8.
[2]	Bates P W.Hilbert space methods for nonlinear elliptic equations[J].J Differential Equations,1979,32(2):250-257.
[3]	Hellwig G.Partial Differential Equations[M].New York:Blaisdell,1964.
[4]	Elcrat A R.Constructive Existence for semilinear elliptic equations with discontinuous coefficients[J].SIAM J Math Analysis,1974,5(4):663-672.
[5]	Alexiades V,Elcrat A R,Schaefer P W.Existence theorems for some nonlinear fourth order elliptic boundary value problems[J].Nonlinear Analysis,Theory,Methods &Applications,1980,4(4):805-813.
[6]	Agmon S.Lectures on Elliptic Boundary Value Problems[M].Princeton,New Jersey:D Van Nostrand Company,Inc,1965.