Hessian Lane-Emden Type Systems with Measures Involving Sub-natural Growth Terms

被引：0

作者：

da Silva, Estevan Luiz ^{[1
]}

do O, Joao Marcos ^{[2
]}

机构：

[1] Univ Fed Pernambuco, Dept Math, Recife, PE, Brazil

[2] Univ Fed Paraiba, Dept Math, BR-58051900 Joao Pessoa, PB, Brazil

来源：

POTENTIAL ANALYSIS | 2024年

关键词：

k-Hessian equations; Lane-Emden system; Integral equations; Wolff potentials; Measure data; Positive Solution; ELLIPTIC-EQUATIONS;

D O I：

10.1007/s11118-024-10166-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We are interested in a class of k-Hessian Lane-Emden type systems with measure data in the "sublinear growth" rate. We give global pointwise estimates of the so-called Brezis-Kamin type in terms of Wolff potentials, which allows us to obtain necessary and sufficient conditions for the existence of positive solutions. The approach allows one to treat other nonlinear elliptic problems, such as equations involving general quasilinear operators and fractional Laplacian.

引用

页数：21

共 20 条

[1] Adams DR., 1996, Function spaces and potential theory, DOI [10.1007/978-3-662-03282-4, DOI 10.1007/978-3-662-03282-4]
[2] Quasilinear and Hessian Lane-Emden Type Systems with Measure Data
Bidaut-Veron, Marie-Francoise
Quoc-Hung Nguyen
Veron, Laurent
[J]. POTENTIAL ANALYSIS, 2020, 52 (04) : 615 - 643
[3] SUBLINEAR ELLIPTIC-EQUATIONS IN RN
BREZIS, H
KAMIN, S
[J]. MANUSCRIPTA MATHEMATICA, 1992, 74 (01) : 87 - 106
[4] Nonlinear elliptic equations and intrinsic potentials of Wolff type
Cao, Dat
Verbitsky, Igor
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2017, 272 (01) : 112 - 165
[5] Pointwise estimates of Brezis-Kamin type for solutions of sublinear elliptic equations
Cao, Dat T.
Verbitsky, Igor E.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2016, 146 : 1 - 19
[6] da Silva E., 2024, Nonlinear Anal., V242, P1
[7] THIN SETS IN NONLINEAR POTENTIAL-THEORY
HEDBERG, LI
WOLFF, TH
[J]. ANNALES DE L INSTITUT FOURIER, 1983, 33 (04) : 161 - 187
[8] Heinonen J., 2006, NONLINEAR POTENTIAL
[9] Guide to nonlinear potential estimates
Kuusi, Tuomo
Mingione, Giuseppe
[J]. BULLETIN OF MATHEMATICAL SCIENCES, 2014, 4 (01) : 1 - 82
[10] Labutin DA, 2002, DUKE MATH J, V111, P1

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