Nonlinear Inclusions and Hemivariational Inequalities: Models and Analysis of Contact Problems

By Stanislaw Migrski, Anna Ochal, Mircea-Traian Sofonea. 2012

506 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/2f0a64992d5a5d5780e681291d83ed22fadacb26

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

Equivalence of well-posedness between systems of hemivariational inequalities and inclusion problems (2016, unknown): “For a Banach space Vi, i = 1, 2, we denote 〈·, ·〉V ∗i ×Vi the duality pairing between a Banach space Vi and its dual space V ∗ i space and by ‖ · ‖Vi , ‖ · ‖V ∗i the norms on the space Vi and its dual space V ∗ i , respectively.”
Approximate Controllability for a Class of Second-Order Stochastic Evolution Inclusions of Clarke’s Subdifferential Type (2018, background): “12(2) of [30], we get a conclusion that Λ is upper semicontinuous.”
Approximate controllability for a class of hemivariational inequalities (2015, background): “For more details on these topics, one can see [4–12] and the references therein.”
Analysis of a general dynamic history-dependent variational–hemivariational inequality (2017, background): “Exploiting again [6, Proposition 3.37(ii), Theorem 3.47] and the relation ♣ F b ( x , r ) ≤ L F b ♣ r ♣ + ♣ F b ( x , 0) for all r ∈ R and a.e. x ∈ Γ 3 (a consequence of (5.38)), we see that the hypothesis H ( ϕ )(4) Moreover, the operators R 1 , R and S deﬁned by (5.48)–(5.50), respectively, under…”
Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics (2018, background): “Details on the normal compliance and Signorini contact conditions can be found in previous works [4, 22, 24].”
Optimal Control of Generalized Quasi-Variational Hemivariational Inequalities and Its Applications (2015, background): “7 in [20], the elastic frictional problem can be written as the following problem: find u ∈ V such that Fε(u), ε(v)− ε(u)〉H + ∫”