MINIMIZATION PROBLEMS FOR NONCOERCIVE FUNCTIONALS SUBJECT TO CONSTRAINTS

被引：21

作者：

LE, VK

SCHMITT, K

机构：

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 347卷 / 11期

关键词：

MINIMIZATION OF FUNCTIONALS; CRITICAL POINT THEOREMS; NONCOERCIVE FUNCTIONALS; NONLINEAR BOUNDARY VALUE PROBLEMS; P-LAPLACIAN;

D O I：

10.2307/2155048

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider noncoercive functionals on a reflexive Banach space and establish minimization theorems for such functionals on smooth constraint manifolds. These results in turn yield critical point theorems for certain classes of homogeneous functionals. Several applications to the study of boundary value problems for quasilinear elliptic equations are included.

引用

页码：4485 / 4513

页数：29

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