Regularity of solutions to nonlinear thin and boundary obstacle problems

被引：0
|
作者：
Di Fazio, Luca [1 ,2 ]
Spadaro, Emanuele [1 ,2 ]
机构：
[1] Univ Roma La Sapienza, Rome, Italy
[2] Piazzale Aldo Moro 5, I-00185 Rome, Italy
来源：
ADVANCES IN MATHEMATICS | 2022年 / 401卷
基金：
欧洲研究理事会;
关键词：
Thin obstacle problems; Boundary obstacle problems; Free boundary; Signorini's problem; Elliptic regularity; MINIMAL-SURFACES; VARIATIONAL PROBLEMS; INEQUALITIES; EQUATIONS; SET;
D O I：
10.1016/j.aim.2022.108263
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Variational inequalities with thin obstacles and Signorini-type boundary conditions are classical problems in the calculus of variations, arising in numerous applications. In the linear case many refined results are known, while in the nonlinear setting our understanding is still at a preliminary stage. In this paper we prove C-1 regularity for the solutions to a general class of quasi-linear variational inequalities with thin obstacles and C-1,C-alpha regularity for variational inequalities under Signorini-type conditions on the boundary of a domain. (c) 2022 Elsevier Inc. All rights reserved.
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页数：39
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