Existence of critical points for some noncoercive functionals

被引：22

作者：

Arcoya, D ^{[1
]}

Boccardo, L

Orsina, L

机构：

[1] Univ Granada, Dept Anal Matemat, E-18071 Granada, Spain

[2] Univ Rome, Dipartimento Matemat Guido Castelnuovo, I-00185 Rome, Italy

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2001年 / 18卷 / 04期

关键词：

D O I：

10.1016/S0294-1449(01)00069-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study critical points problems for some integral functionals with principal part having degenerate coerciveness, whose model is J(v) = (1)/(2) integral (Omega) (/delv/2) / ((b(x)+/v/)2 alpha) - (1)/(m) integral (Omega) /v/(m), v is an element of H-0(1)(Omega), with 1 < m < 2*(1 - alpha). We will prove several existence and nonexistence results depending on different assumptions on both m and alpha. (C) 2001 Editions scientifiques et medicales Elsevier SAS.

引用

页码：437 / 457

页数：21

共 10 条

[1]

Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7

[2] Critical points for multiple integrals of the calculus of variations [J].