THE DIRICHLET PROBLEM FOR POSSIBLY SINGULAR ELLIPTIC EQUATIONS WITH DEGENERATE COERCIVITY

被引：5

作者：

Durastanti, Riccardo ^{[1
]}

Oliva, Francescantonio ^{[2
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Matemat & Applicazioni R Caccioppoli, Via Cintia, I-80126 Naples, Italy

[2] Sapienza Univ Roma, Dipartimento Sci Base & Applicate Ingn, Via Antonio Scarpa 16, I-00161 Rome, Italy

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2024年 / 29卷 / 5-6期

关键词：

EXISTENCE; GROWTH;

D O I：

10.57262/ade029-0506-339

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with existence, uniqueness and regularity of non-negative solutions to a Dirichlet problem for equations as -div (|del u|(p-2)del u/(1 + u)(theta(p-1))) = h(u)f in Omega, where Omega is an open bounded subset of R-N (N >= 2), p > 1, theta >= 0, f >= 0 belongs to a suitable Lebesgue space and h is a continuous, nonnegative function which may blow up at zero and it is bounded at infinity.

引用

页码：339 / 388

页数：50

共 50 条

[1] PARABOLIC AND ELLIPTIC EQUATIONS WITH SINGULAR OR DEGENERATE COEFFICIENTS: THE DIRICHLET PROBLEM
Dong, Hongjie
Phan, Tuoc
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 374 (09) : 6611 - 6647
[2] The Dirichlet problem for fully nonlinear degenerate elliptic equations with a singular nonlinearity
Birindelli, Isabeau
Galise, Giulio
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2019, 58 (05)
[3] The Dirichlet problem for fully nonlinear degenerate elliptic equations with a singular nonlinearity
Isabeau Birindelli
Giulio Galise
Calculus of Variations and Partial Differential Equations, 2019, 58
[4] DIRICHLET PROBLEM FOR DEGENERATE ELLIPTIC EQUATIONS
FRIEDMAN, A
PINSKY, MA
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 186 (459) : 359 - 383
[5] THE DIRICHLET PROBLEM FOR NONLINEAR DEGENERATE ELLIPTIC EQUATIONS
王传芳
Science Bulletin, 1985, (03) : 422 - 423
[6] ON THE DIRICHLET PROBLEM FOR DEGENERATE ELLIPTIC-EQUATIONS
CHABROWSKI, JH
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1987, 23 (01) : 1 - 16
[7] Dirichlet problem for semilinear edge-degenerate elliptic equations with singular potential term
Chen, Hua
Liu, Xiaochun
Wei, Yawei
JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (07) : 4289 - 4314
[8] The problem of Dirichlet for anisotropic quasilinear degenerate elliptic equations
Tersenov, Alkis S.
Tersenov, Aris S.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 235 (02) : 376 - 396
[9] On the Dirichlet problem for a class of nonlinear degenerate elliptic equations
Cavalheiro, Albo Carlos
CONTRIBUTIONS TO MATHEMATICS, 2020, 1 : 35 - 44
[10] The Dirichlet problem for singular elliptic equations with general nonlinearities
Virginia De Cicco
Daniela Giachetti
Francescantonio Oliva
Francesco Petitta
Calculus of Variations and Partial Differential Equations, 2019, 58

← 1 2 3 4 5 →