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.
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页码：261 / 280
页数：20
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