Problems for elliptic singular equations with a gradient term

被引：42

作者：

Giarrusso, E

Porru, G

机构：

[1] Univ Cagliari, Dipartimento Matemat & Informat, I-09124 Cagliari, Italy

[2] Univ Naples, Dipartimento Matemat & Applicaz, I-80126 Naples, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 65卷 / 01期

关键词：

nonlinear elliptic singular equations; boundary behaviour;

D O I：

10.1016/j.na.2005.08.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the homogeneous Dirichlet problem for a class of second-order nonlinear elliptic partial differential equations with singular data. In particular, we study the asymptotic behaviour of the solution near the boundary up to the second order under various assumptions on the growth of the coefficients of the equation. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：107 / 128

页数：22

共 19 条

[1] [Anonymous], 1998, DIFFERENTIAL INTEGRA
[2] Bandle C., 1996, Adv. Differential Equations, V1, P133
[3] Qualitative properties of solutions to elliptic singular problems
Berhanu, S
Gladiali, F
Porru, G
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 1999, 3 (04): : 313 - 330
[4] BERHANU S, IN PRESS ACTA MATH S
[5] Crandall M.G., 1977, Commun. Partial. Differ. Equ., V2, P193, DOI DOI 10.1080/03605307708820029
[6] Asymptotic behaviour of large solutions of an elliptic quasilinear equation in a borderline case
Giarrusso, E
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2000, 331 (10): : 777 - 782
[7] Giarrusso E., 2003, APPL MATH GOLDEN AGE, P163
[8] Kawohl B., 1992, PITMAN RES NOTES MAT, V266, P156
[9] INVARIANT CRITERIA FOR EXISTENCE OF SOLUTIONS TO 2ND-ORDER QUASILINEAR ELLIPTIC EQUATIONS
KAZDAN, JL
KRAMER, RJ
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1978, 31 (05) : 619 - 645
[10] ON SOLUTIONS OF DELTA-U= F(U)
KELLER, JB
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1957, 10 (04) : 503 - 510

← 1 2 →