Normally solvable nonlinear boundary value problems

被引：2
作者：
Alsaedy, Ammar [1 ]
Tarkhanov, Nikolai [2 ]
机构：
[1] Alnahrain Univ, Coll Sci, Dept Math, Baghdad, Iraq
[2] Univ Potsdam, Inst Math, D-14469 Potsdam, Germany
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2014年 / 95卷
关键词：
Nonlinear Laplace operator; Boundary value problem; Dirichlet to Neumann operator; NEUMANN OPERATOR; DIRICHLET;
D O I：
10.1016/j.na.2013.09.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate nonlinear problems which appear as Euler-Lagrange equations for a variational problem. They include in particular variational boundary value problems for nonlinear elliptic equations studied by F. Browder in the 1960s. We establish a solvability criterion of such problems and elaborate an efficient orthogonal projection method for constructing approximate solutions. (C) 2013 Elsevier Ltd. All rights reserved.
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页码：468 / 482
页数：15
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