Singular limit problem for some elliptic systems

被引：13

作者：

Oshita, Yoshihito ^{[1
]}

机构：

[1] Okayama Univ, Dept Math, Okayama 7008530, Japan

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2007年 / 38卷 / 06期

关键词：

sharp interface; singular perturbation; elliptic system;

D O I：

10.1137/060656632

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the sharp interface problem arising in the singular limit of some elliptic systems, we prove the existence and the nondegeneracy of solutions whose interface is a distorted circle in a two-dimensional bounded domain without any assumption on the symmetry of the domain.

引用

收藏

页码：1886 / 1911

页数：26

相关论文

共 19 条

[1] Existence of multi-bump standing waves with a critical frequency for nonlinear Schrodinger equations [J].

Byeon, J ;

Oshita, Y .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2004, 29 (11-12) :1877-1904

[2] CONVEXITY OF SOLUTIONS OF SEMILINEAR ELLIPTIC-EQUATIONS [J].

CAFFARELLI, LA ;

FRIEDMAN, A .

DUKE MATHEMATICAL JOURNAL, 1985, 52 (02) :431-456

[3]

Chen X., 2000, ADV DIFFERENTIAL EQU, V5, P747

[4] Periodicity and uniqueness of global minimizers of an energy functional containing a long-range interaction [J].

Chen, XF ;

Oshita, Y .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2005, 37 (04) :1299-1332

[5] Asymptotic behavior of solutions of an Allen-Cahn equation with a nonlocal term [J].

Chen, XF ;

Hilhorst, D ;

Logak, E .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (07) :1283-1298

[6]

delPino MA, 1995, T AM MATH SOC, V347, P4807

[7] Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps [J].

Kolokolnikov, T ;

Titcombe, MS ;

Ward, MJ .

EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2005, 16 :161-200

[8]

Li YY, 1998, COMMUN PART DIFF EQ, V23, P487

[9]

Li YY, 1998, COMMUN PUR APPL MATH, V51, P1445, DOI 10.1002/(SICI)1097-0312(199811/12)51:11/12<1445::AID-CPA9>3.0.CO

[10]

2-Z