COMPONENTWISE LOCALIZATION OF SOLUTIONS TO SYSTEMS OF OPERATOR INCLUSIONS VIA HARNACK TYPE INEQUALITIES

被引：0
作者：
Precup, Radu [1 ,2 ]
Rodriguez-Lopez, Jorge [3 ]
机构：
[1] Babes Bolyai Univ, Inst Adv Studies Sci & Technol, Cluj Napoca, Romania
[2] Romanian Acad, Tiberiu Popoviciu Inst Numer Anal, Cluj Napoca, Romania
[3] Univ Santiago de Compostela, Dept Estat Analise Matemat & Optimizac, CITMAga, Fac Matemat, Campus Vida, Santiago 15782, Spain
来源：
QUAESTIONES MATHEMATICAE | 2023年 / 46卷 / 07期
关键词：
Compression-expansion fixed point theorem; Harnack type inequality; positive solution; operator inclusion; nonlinear system; phi-Laplacian; DECOMPOSABLE MULTIVALUED MAPS; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; DIRICHLET PROBLEM; EQUATIONS; MULTIPLICITY; LAPLACIAN; EXISTENCE; CONES;
D O I：
10.2989/16073606.2022.2107959
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish compression-expansion type fixed point theorems for systems of operator inclusions with decomposable multivalued maps. The approach is vectorial allowing to localize individually the components of solutions and to obtain multiple solutions with multiplicity not necessarily concerned with all components of the solution. A general scheme of applicability of the theory is elaborated based on Harnack type inequalities and illustrated on systems of differential inclusions with one-dimentional phi-Laplacian.
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收藏
页码：1481 / 1496
页数：16
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