Some quasivariational problems with memory

Ulisse Stefanelli

Displaying similar documents to “Some quasivariational problems with memory”

Sensitivity analysis of solutions to a class of quasi-variational inequalities

Samir Adly, Mohamed Ait Mansour, Laura Scrimali (2005)

Bollettino dell'Unione Matematica Italiana

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We provide a sensitivity result for the solutions to the following finite-dimensional quasi-variational inequality $Q V I u \in K (u), 〈C (u), v - u〉 \geq 0, \forall v \in K (u),$ when both the operator $C$ and the convex $K$ are perturbed. In particular, we prove the Hölder continuity of the solution sets of the problems perturbed around the original problem. All the results may be extended to infinite-dimensional (QVI).

Stefan problems with a concentrated capacity

Enrico Magenes (1998)

Bollettino dell'Unione Matematica Italiana

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Vengono brevemente studiati i problemi di Stefan su «capacità concentrate»,seguendo l'approccio recentemente introdotto di G. Savaré e A. Visintin.

On existence of equilibria of set-valued maps

Grzegorz Gabor, Marc Quincampoix (2003)

Bollettino dell'Unione Matematica Italiana

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The present paper is devoted to sufficient conditions for existence of equilibria of Lipschitz multivalued maps in prescribed subsets of finite-dimensional spaces. The main improvement of the present study lies in the fact that we do not suppose any regular assumptions on the boundary of the subset. Our approach is based on behaviour of trajectories to the corresponding differential inclusion.

Existence and uniqueness of solutions for nonlinear and non coercive problems with measure data

Pirro Oppezzo, Anna Maria Rossi (2003)

Bollettino dell'Unione Matematica Italiana

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We prove the existence of a renormalized solution for a nonlinear non coercive divergence problem with lower order terms and measure data. In a particular case we also give a uniqueness result.