COMPARISON RESULT FOR QUASI-LINEAR ELLIPTIC EQUATIONS WITH GENERAL GROWTH IN THE GRADIENT

被引：2

作者：

Alvino, Angelo ^{[1
]}

Betta, Maria francesca ^{[2
]}

Mercaldo, Anna ^{[1
]}

Volpicelli, Roberta ^{[1
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Naples, Italy

[2] Univ Napoli Parthenope, Dipartimento Ingn, Naples, Italy

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2024年 / 23卷 / 03期

关键词：

Existence; uniqueness; comparison result; rearrangements; elliptic equations; UNIQUENESS; EXISTENCE; PRINCIPLE;

D O I：

10.3934/cpaa.2024013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove a comparison result for a class of Dirichlet boundary problems whose model is { -Delta u = beta|del u|(q) + cu + f in Omega u = 0 su partial derivative Omega, where Omega is an open bounded subset of R-N, N > 2. We also prove an existence and uniqueness result for weak solution to these problems.

引用

页码：339 / 355

页数：17

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