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.
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页数：21
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