REGULARITY OF WEAK SOLUTIONS FOR A CLASS OF ELLIPTIC PDES IN ORLICZ-SOBOLEV SPACES

被引：0
|
作者：
Maksymiuk, Jakub [1 ]
Wronski, Karol [1 ]
机构：
[1] Gdansk Univ Technol, Dept Tech Phys & Appl Math, Narutowicza 11-12, PL-80952 Gdansk, Poland
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2020年 / 55卷 / 02期
关键词：
Regularity; elliptic equations; Orlicz-Sobolev spaces; BOUNDEDNESS; MINIMIZERS; EQUATIONS; EXISTENCE;
D O I：
10.12775/TMNA.2019.106
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the elliptic partial differential equation in the divergence form -div(del G(del u(x))) + F-u(x, u(x)) = 0, where G is a convex, anisotropic function satisfying certain growth and ellipticity conditions. We prove that weak solutions in W-1,W-G are in fact of class W-loc(2,2 )boolean AND W-loc(1,infinity).
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收藏
页码：583 / 600
页数：18
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