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 27 条

[1] Keller-Osserman type conditions for some elliptic problems with gradient terms [J].

Alarcon, Salomon ;

Garcia-Melian, Jorge ;

Quaas, Alexander .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (02) :886-914

[2]

[Anonymous], 1996, Adv. Differ. Equ.

[3] ELIMINABLE SINGULARITIES FOR SEMILINEAR EQUATIONS [J].

BARAS, P ;

PIERRE, M .

ANNALES DE L INSTITUT FOURIER, 1984, 34 (01) :185-206

[4]

Bidaut-Veron M.F, 2020, BOUNDARY SINGULAR SO

[5] Liouville Results and Asymptotics of Solutions of a Quasilinear Elliptic Equation with Supercritical Source Gradient Term [J].

Bidaut-Veron, Marie-Francoise .

ADVANCED NONLINEAR STUDIES, 2021, 21 (01) :57-76

[6] Quasilinear elliptic equations with a source reaction term involving the function and its gradient and measure data [J].

Bidaut-Veron, Marie-Francoise ;

Nguyen, Quoc-Hung ;

Veron, Laurent .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2020, 59 (05)

[7] ESTIMATES OF SOLUTIONS OF ELLIPTIC EQUATIONS WITH A SOURCE REACTION TERM INVOLVING THE PRODUCT OF THE FUNCTION AND ITS GRADIENT [J].

Bidaut-veron, Marie-Francoise ;

Garcia-Huidobro, Marta ;

Veron, Laurent .

DUKE MATHEMATICAL JOURNAL, 2019, 168 (08) :1487-1537

[8]

Boccardo L., 1984, Ann. Sc. Norm. Super. Pisa, Cl. Sci., V11, P213

[9]

BREZIS H, 1980, ARCH RATION MECH AN, V75, P1

[10] SEMI-LINEAR SECOND-ORDER ELLIPTIC EQUATIONS IN L1 [J].

BREZIS, H ;

STRAUSS, WA .

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1973, 25 (04) :565-590

← 1 2 3 →