Coupled double phase obstacle systems involving nonlocal functions and multivalued convection terms

被引：4

作者：

Liu, Yongjian ^{[1
]}

Nguyen, Van Thien ^{[2
]}

Winkert, Patrick ^{[3
]}

Zeng, Shengda ^{[4
,5
,6
]}

机构：

[1] Yulin Normal Univ, Guangxi Coll & Univ Key Lab Complex Syst Optimizat, Yulin 537000, Guangxi, Peoples R China

[2] FPT Univ, Dept Math, Hoa Lac High Tech Pk,Km29 Thang Long Highway, Hanoi, Vietnam

[3] Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin, Germany

[4] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[5] Jagiellonian Univ Krakow, Fac Math & Comp Sci, ul Lojasiewicza 6, PL-30348 Krakow, Poland

[6] Yulin Normal Univ, Guangxi Coll & Univ Key Lab Complex Syst Optimizat, Yulin 537000, Guangxi, Peoples R China

来源：

MONATSHEFTE FUR MATHEMATIK | 2023年 / 202卷 / 02期

基金：

欧盟地平线“2020”;

关键词：

Coupled systems; Double phase operator; Existence and compactness results; Multivalued convection term; Nonlocal terms; Obstacle effect; ELLIPTIC-SYSTEMS; EXISTENCE;

D O I：

10.1007/s00605-023-01825-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study a new kind of coupled elliptic obstacle problems driven by double phase operators and with multivalued right-hand sides depending on the gradients of the solutions. Based on an abstract existence theorem for generalized mixed variational inequalities involving multivalued mappings due to Kenmochi (Hiroshima Math J 4:229-263, 1974), we prove the nonemptiness and compactness of the weak solution set of the coupled elliptic obstacle system.

引用

页码：363 / 376

页数：14

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