
Workshop no 2 “Nonlinear Inclusions, Hemivariational Inequalities with Applications
to Contact Mechanics” took place on November 2728, 2013. For details, see
Workshop web page
and
Workshop announcement
Stanislaw Migorski, An Introduction.
Agnieszka Kałamajska (University of Warsaw): Extension theorems dealing with weighted OrliczSlobodetskii space. Abstract: We discuss trace extension theorems between weighted OrliczSobolev spaces of functions defined on bounded domain Omega in R^n and weighted OrliczSlobodetski spaces of functions defined on the boundary of Omega. This gives a new tool to deal with inhomogeneous boundary value problems for degenerate elliptic PDEs.
(1) Luca Vilasi (University of Messina): Half Laplacian equations in bounded domains. Abstract: In this seminar I will focus on a fractional elliptic equation governed by the half Laplacian in a smooth bounded domain of Rn and with Dirichlet conditions on the boundary. By assuming a suitable growth of the nonlinearity in addition to some (technical) algebraic conditions, I will show the existence of at least three L1bounded weak solutions. My approach relies upon CaffarelliSilvestre's extension method and some variational methods for smooth functionals defined on reflexive Banach spaces.
(2) Marek Galewski (Politechnika Lodzka): On a global implicit function theorem for locally Lipschitz mappings in finite dimensional spaces. Abstract: This talk is based on our joint research with Marius Radulescu. We concentrate on providing conditions under which a locally Lipschitz mapping F:E>E, where E is a finite dimensional Euclidean space, is a diffeomorphism. Next, we generalize this result to get a global implicit function theorem. Applications to algebraic equations are given. On a global invertibility of locally Lipschitz mappings on R^n.
(3) Michał Beldzinski (Politechnika Lodzka): Application of a global diffeomorphism theorem to the solvability of abstract equations.
Anna Ochal, Existence results for perturbed compact operator with applications to variational inequalities.
Michal Jureczka, Numerical analysis of stationary variationalhemivariational inequalities with applications in contact mechanics.
Biao Zeng, Optimal Control of a Class of Variational–Hemivariational Inequalities in Reflexive Banach Spaces, part I.
Biao Zeng, Optimal Control of a Class of Variational–Hemivariational Inequalities in Reflexive Banach Spaces, part II.
Justyna Ogorzały, HistoryDependent Nonlinear Inclusions and VariationalHemivariational Inequalities with Applications to Contact Mechanics.
Anna Kulig, Optimal control for antiplane frictional contact problems involving nonlinearly elastic materials of Hencky type, part 1.
Anna Kulig, Optimal control for antiplane frictional contact problems involving nonlinearly elastic materials of Hencky type, part 2.
There will be no seminar on that day.
Shengda Zeng, A regularization method for a viscoelastic contact problem.
Kristina Kozić, Mathematical modeling of vascular stents. Based on "Mathematical modeling of vascular stents" in SIAM J. Appl. Math. 70, 2010.
Michal Jureczka, Numerical analysis of stationary variationalhemivariational inequalities with applications in contact mechanics, part II.