Dirichlet problem for noncoercive nonlinear elliptic equations with singular drift term in unbounded domains

被引：1

作者：

Di Gironimo, Patrizia ^{[1
]}

Monsurro, Sara ^{[1
]}

Zecca, Gabriella ^{[2
]}

机构：

[1] Univ Studi Salerno, Dipartimento Matemat, Via Giovanni Paolo 2, I-84084 Fisciano, SA, Italy

[2] Applicazioni R Caccioppoli Univ Napoli Feder II, Dipartimento Matemat, Via Cintia, I-80126 Naples, Italy

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2023年 / 29卷

关键词：

Noncoercive nonlinear elliptic equations; singular drift; Dirichlet problems; unbounded domains;

D O I：

10.1051/cocv/2023076

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we study a Dirichlet problem for noncoercive nonlinear elliptic equations with first order term in an unbounded domain. We obtain Stampacchia type existence, regularity and uniqueness results, when the singular drift term is controlled through a function in a suitable functional space, strictly containing Lebesgue one. The main tools are a weak maximum principle together with some a priori estimates proved by contradiction.

引用

页数：24

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