New variational principle and duality for a certain class of nonlinear operator equations

被引：1

作者：

Galewski, M ^{[1
]}

机构：

[1] Univ Lodz, Fac Math, Dept Math Anal & Control Theory, PL-90238 Lodz, Poland

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2004年 / 25卷 / 3-4期

关键词：

duality theory; variational method; existence of solutions;

D O I：

10.1081/NFA-120039654

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a duality theory and existence results for a superlinear operator equation delT(x) = delN(x). We use the abstract version of the so called dual variational method. The solution is obtained as a limit of a minimizng sequence whose existence and convergence is proved.

引用

页码：309 / 320

页数：12

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