Two Positive Solutions for Elliptic Differential Inclusions

被引：0
作者：
Bonanno, Gabriele [1 ]
Morabito, Valeria [1 ]
O'Regan, Donal [2 ]
Vassallo, Bruno [3 ]
机构：
[1] Univ Messina, Dept Engn, I-98166 Messina, Italy
[2] Univ Galway, Sch Math & Stat Sci, Galway H91 TK33, Ireland
[3] Univ Messina, Dept Math & Comp Sci, Phys Sci & Earth Sci, I-98166 Messina, Italy
来源：
APPLIEDMATH | 2024年 / 4卷 / 04期
关键词：
differential inclusion; second-order elliptic equation; critical point theory; BOUNDARY-VALUE-PROBLEMS;
D O I：
10.3390/appliedmath4040074
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence of two positive solutions for an elliptic differential inclusion is established, assuming that the nonlinear term is an upper semicontinuous set-valued mapping with compact convex values having subcritical growth. Our approach is based on variational methods for locally Lipschitz functionals. As a consequence, a multiplicity result for elliptic Dirichlet problems having discontinuous nonlinearities is pointed out.
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收藏
页码：1404 / 1417
页数：14
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