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

共 50 条

[21] A CLASS OF INVERSE PROBLEMS FOR ELLIPTIC-EQUATIONS
KHAIDAROV, A
DIFFERENTIAL EQUATIONS, 1987, 23 (08) : 939 - 945
[22] A CLASS OF INVERSE PROBLEMS FOR ELLIPTIC-EQUATIONS
KHAIDAROV, A
SIBERIAN MATHEMATICAL JOURNAL, 1990, 31 (04) : 657 - 666
[23] MIXED BOUNDARY PROBLEMS FOR GENERAL ELLIPTIC EQUATIONS
SCHECHTER, M
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1960, 13 (02) : 183 - 201
[24] Nonlinear degenerate elliptic equations with measure data
Li, Fengquan
COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2007, 48 (04): : 647 - 658
[25] QUASILINEAR ELLIPTIC EQUATIONS WITH SIGNED MEASURE DATA
Trudinger, Neil S.
Wang, Xu-Jia
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2009, 23 (1-2) : 477 - 494
[26] NONLINEAR ELLIPTIC-EQUATIONS WITH MEASURE DATA
DELVECCHIO, T
POTENTIAL ANALYSIS, 1995, 4 (02) : 185 - 203
[27] ELLIPTIC EQUATIONS WITH MEASURE DATA IN ORLICZ SPACES
Dong, Ge
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2008,
[28] Mixed problems for a class of pseudoparabolic equations
Ilyasov, Musa H.
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2007, 38 (02): : 97 - 103
[29] Measure data and numerical schemes for elliptic problems
Gallouët, T
Elliptic and Parabolic Problems: A SPECIAL TRIBUTE TO THE WORK OF HAIM BREZIS, 2005, 63 : 279 - 290
[30] A class of nonlinear degenerate elliptic equations related to the Gauss measure
di Blasio, Giuseppina
Feo, Filomena
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 386 (02) : 763 - 779

← 1 2 3 4 5 →