A minimization problem associated with elliptic systems of FitzHugh-Nagumo type

被引：36

作者：

Dancer, EN ^{[1
]}

Yan, SS ^{[1
]}

机构：

[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2004年 / 21卷 / 02期

基金：

澳大利亚研究理事会;

关键词：

elliptic systems; multiple layer;

D O I：

10.1016/j.anihpc.2003.02.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a minimization problem associated with the elliptic systems of FitzHugh-Nagumo type and prove that the minimizer of this minimization problem has not only a boundary layer, but also may oscillate in a set of positive measure. (C) 2003 Elsevier SAS. All rights reserved.

引用

页码：237 / 253

页数：17

共 22 条

[1] On a long-standing conjecture of E.!De Giorgi:: Symmetry in 3D for general nonlinearities and a local minimality property [J].

Alberti, G ;

Ambrosio, L ;

Cabré, X .

ACTA APPLICANDAE MATHEMATICAE, 2001, 65 (1-3) :9-33

[2] Entire solutions of semilinear elliptic equations in R3 and a conjecture of De Giorgi [J].

Ambrosio, L ;

Cabré, X .

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 13 (04) :725-739

[3]

Berestycki H., 1997, ANN SCUOLA NORM SU S, V25, P69

[4]

BREZIS H., 1973, North-Holland Math. Stud., V5

[5] STABILITY ANALYSIS FOR A SEMILINEAR PARABOLIC PARTIAL-DIFFERENTIAL EQUATION [J].

CHAFEE, N .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1974, 15 (03) :522-540

[6] ON A NONLINEAR EIGENVALUE PROBLEM OCCURRING IN POPULATION-GENETICS [J].

CLEMENT, P ;

PELETIER, LA .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1985, 100 :85-101

[7]

CLEMENT P, 1987, ANN SCUOLA NORM SUP, V14, P97

[8]

DANCER EN, 1986, P LOND MATH SOC, V53, P429

[9]

De Giorgi E., 1978, P INT M REC METH NON, P131

[10] A MAXIMUM PRINCIPLE FOR AN ELLIPTIC SYSTEM AND APPLICATIONS TO SEMILINEAR PROBLEMS [J].

DEFIGUEIREDO, DG ;

MITIDIERI, E .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1986, 17 (04) :836-849

← 1 2 3 →