A comparison principle for a doubly singular quasilinear anisotropic problem

被引：0
|
作者：
Montoro, Luigi [1 ]
Sciunzi, Berardino [1 ]
Trombetta, Alessandro [1 ]
机构：
[1] UNICAL, Dipartimento Matemat & Informat, Ponte Pietro Bucci 31B, I-87036 Cosenza, Italy
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2025年 / 27卷 / 01期
关键词：
Comparison principle; Finsler anisotropic operator; Picone identity; REGULARITY;
D O I：
10.1142/S0219199723500608
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 principle for sub-supersolutions to a singular quasilinear problem that involves the anisotropic Finsler operator -Delta(H )(p)u := -div(Hp-1(del u) del H(del u)). As a main consequence, we obtain a uniqueness result for weak solutions to the problem (P). The proof is carried out also proving a sharp regularity result of the solutions up to the boundary. Our results are new even in the euclidean case.
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页数：18
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