Measure Data Problems for a Class of Elliptic Equations with Mixed Absorption-Reaction

被引：4

作者：

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

Garcia-Huidobro, Marta ^{[2
]}

Veron, Laurent ^{[1
]}

机构：

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

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

来源：

ADVANCED NONLINEAR STUDIES | 2021年 / 21卷 / 02期

关键词：

Elliptic Equations; Singularities; Bessel Capacities; Riesz Potential; Maximal Functions; SINGULARITIES;

D O I：

10.1515/ans-2021-2124

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we study the existence of nonnegative solutions to the Dirichlet problem L-p(,q)M u := -Delta u + u(p) - M vertical bar del u vertical bar(q) = mu in a domain Omega subset of R-N where mu is a nonnegative Radon measure, when p > 1, q > 1 and M >= 0. We also give conditions under which nonnegative solutions of L-p(,q)M u = 0 in Omega \ K, where K is a compact subset of Omega, can be extended as a solution of the same equation in Omega.

引用

页码：261 / 280

页数：20

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