ELLIPTIC SYSTEMS WITH BOUNDARY BLOW-UP: EXISTENCE, UNIQUENESS AND APPLICATIONS TO REMOVABILITY OF SINGULARITIES

被引：9

作者：

Garcia-Melian, Jorge ^{[1
,2
]}

Rossi, Julio D. ^{[3
]}

Sabina de Lis, Jose C. ^{[1
,2
]}

机构：

[1] Univ La Laguna, Dept Anal Matemat, C Astrofis Francisco Sanchez S-N, San Cristobal la Laguna 38271, Spain

[2] Univ La Laguna, IUdEA Fis Atom Mol & Foton, C Astrofis Francisco Sanchez S-N, San Cristobal la Laguna 38203, Spain

[3] Univ Buenos Aires, FCEyN, Dept Matemat, Ciudad Univ,Pab 1, RA-1428 Buenos Aires, DF, Argentina

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2016年 / 15卷 / 02期

关键词：

Elliptic systems; boundary blow-up; removable singularities; ASYMPTOTIC-BEHAVIOR; COMPETITION MODEL; EQUATIONS; DEGENERACY;

D O I：

10.3934/cpaa.2016.15.549

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the elliptic system Delta u = u(P) - v(q), Delta v = -u(r) + v(s) in Omega, where the exponents verify p, s > 1, q, r > 0 and ps > qr, and Omega is a smooth bounded domain of R-N. First, we show existence and uniqueness of boundary blow-up solutions, that is, solutions (u, v) verifying u = v = +infinity on partial derivative Omega. Then, we use them to analyze the removability of singularities of positive solutions of the system in the particular case qr <= 1, where comparison is available.

引用

页码：549 / 562

页数：14

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