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Nonlinear analysis. New arguments and results. II.

Lamberto Cesari (1984)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We continue here the discussion in part I, and we state and prove further sufficient conditions for the existence of a solution to nonselfadjoint problems.

Nonlinear boundary value problems for second order differential inclusions

Sophia Th. Kyritsi, Nikolaos M. Matzakos, Nikolaos S. Papageorgiou (2005)

Czechoslovak Mathematical Journal

In this paper we study two boundary value problems for second order strongly nonlinear differential inclusions involving a maximal monotone term. The first is a vector problem with Dirichlet boundary conditions and a nonlinear differential operator of the form x a ( x , x ' ) ' . In this problem the maximal monotone term is required to be defined everywhere in the state space N . The second problem is a scalar problem with periodic boundary conditions and a differential operator of the form x ( a ( x ) x ' ) ' . In this case the maximal...

Nonlinear evolution inclusions arising from phase change models

Pierluigi Colli, Pavel Krejčí, Elisabetta Rocca, Jürgen Sprekels (2007)

Czechoslovak Mathematical Journal

The paper is devoted to the analysis of an abstract evolution inclusion with a non-invertible operator, motivated by problems arising in nonlocal phase separation modeling. Existence, uniqueness, and long-time behaviour of the solution to the related Cauchy problem are discussed in detail.

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