Existence and Relaxation Results for Second Order Multivalued Systems

We consider nonlinear systems driven by a general nonhomogeneous differential operator with various types of boundary conditions and with a reaction in which we have the combined effects of a maximal monotone term A ( x ) and of a multivalued perturbation F ( t , x , y ) which can be convex or nonco...

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Vydáno v:Acta applicandae mathematicae Ročník 173; číslo 1
Hlavní autoři: Papageorgiou, Nikolaos S., Vetro, Calogero
Médium: Journal Article
Jazyk:angličtina
Vydáno: Dordrecht Springer Netherlands 01.06.2021
Springer Nature B.V
Témata:
Applications of Mathematics
Banach spaces
Boundary conditions
Calculus of Variations and Optimal Control; Optimization
Computational Mathematics and Numerical Analysis
Differential equations
Eigenvalues
Existence theorems
Hypotheses
Mathematics
Mathematics and Statistics
Nonlinear systems
Operators (mathematics)
Partial Differential Equations
Perturbation
Probability Theory and Stochastic Processes
Relaxation
34B15
34C25
Optimal control
Convex and nonconvex problems
Continuous and measurable selections
Maximal monotone map
47H06
ISSN:0167-8019, 1572-9036
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Popis
Shrnutí:We consider nonlinear systems driven by a general nonhomogeneous differential operator with various types of boundary conditions and with a reaction in which we have the combined effects of a maximal monotone term A ( x ) and of a multivalued perturbation F ( t , x , y ) which can be convex or nonconvex valued. We consider the cases where D ( A ) ≠ R N and D ( A ) = R N and prove existence and relaxation theorems. Applications to differential variational inequalities and control systems are discussed.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0167-8019
1572-9036
DOI:10.1007/s10440-021-00410-9