Multi-valued variational inequalities in unbounded domains: existence, comparison and extremal solutions

2021 ◽  
pp. 1-30
Author(s):  
Siegfried Carl ◽  
Vy K. Le
Keyword(s):  
Variational Inequalities ◽  
Unbounded Domains ◽  
Extremal Solutions

Variational inequalities of order 2m in unbounded domains

1982 ◽  
Vol 6 (3) ◽  
pp. 253-269 ◽  
Author(s):  
Marie-Françoise Bidaut-Veron
Keyword(s):  
Variational Inequalities ◽  
Unbounded Domains

Variational Inequalities with General Multivalued Lower Order Terms Given by Integrals

2011 ◽  
Vol 11 (1) ◽  
pp. 1-24 ◽  
Author(s):  
Vy Khoi
Keyword(s):  
Variational Inequalities ◽  
Lower Order ◽  
Order Term ◽  
Multivalued Function ◽  
Solution Set ◽  
Lower Order Term ◽  
Extremal Solutions ◽  
Lower Order Terms

AbstractThis paper is about the existence and some properties of solutions of variational inequalities associated with the 2nd order inclusiondiv[A(x, ∇u)] + L ∈ f (x, u) in Ω,where the lower order term f (x, u) is a general multivalued function. Both coercive and noncoercive cases are considered. In the noncoercive case, we use a sub-supersolution approach to study the existence, comparison, and other properties of the solution set such as its compactness, directedness, and the existence of extremal solutions.

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