Local second order regularity of solutions to elliptic Orlicz-Laplace equation

被引：0

作者：

Karppinen, Arttu ^{[1
]}

Sarsa, Saara ^{[2
]}

机构：

[1] Univ Warsaw, Fac Math Informat & Mech, Ul Banacha 2, PL-02097 Warsaw, Poland

[2] Univ Jyvaskyla, Dept Math & Stat, POB 35, FI-40014 Jyvaskyla, Finland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2025年 / 253卷

基金：

芬兰科学院;

关键词：

Orlicz-Laplace equation; Sobolev regularity; VARIATIONAL-PROBLEMS; DERIVATIVES; MINIMIZERS; INTEGRALS;

D O I：

10.1016/j.na.2024.113737

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider Orlicz-Laplace equation - div ( '(|del|) |del| del ) = where is an Orlicz function and either = 0 or is an element of infinity . We prove local second order regularity results for the weak solutions of the Orlicz-Laplace equation. More precisely, we show that if is another Orlicz function that is close to in a suitable sense, then '(|del|) |del| del is an element of 1,2 loc . This work contributes to the building up of quantitative second order Sobolev regularity for solutions of nonlinear equations.

引用

页数：20