Boundary singular solutions of a class of equations with mixed absorption-reaction

被引：2

作者：

Bidaut-Veron, Marie-Francoise ^{[1
]}

Garcia-Huidobro, Marta ^{[2
]}

Veron, Laurent ^{[1
]}

机构：

[1] Univ Tours, Lab Math & Phys Theor, CNRS, UMR 7013, F-37200 Tours, France

[2] Pontifica Univ Catolica Chile, Dept Matemat, Casilla 307,Correo 2, Santiago, Chile

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2022年 / 61卷 / 03期

关键词：

ELLIPTIC SEMILINEAR EQUATION; POSITIVE SOLUTIONS; SOURCE-TERM;

D O I：

10.1007/s00526-022-02200-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study properties of positive functions satisfying (E) - Delta u + u(p) - M vertical bar del u vertical bar(q) = 0 is a domain Omega or in R-+(N) when p > 1 and 1 < q < min{p, 2}. We concentrate our research on the solutions of (E) vanishing on the boundary except at one point. This analysis depends on the existence of separable solutions in R-+(N). We construct various types of positive solutions with an isolated singularity on the boundary. We also study conditions for the removability of compact boundary sets and the Dirichlet problem associated to (E) with a measure as boundary data.

引用

页数：46

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