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Linear (and Nonlinear) Dirichlet Problems with Singular Convection/Drift Terms

Por Lucio Boccardo (Sapienza Università di Roma).

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Symmetry results in two-dimensional inequalities with magnetic fields

Por Denis Bonheure (Université Libre de Bruxelles).

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Semilinear parabolic equations with asymptotically linear growth

Por Juliana Fernandes (Universidade Federal do Rio de Janeiro).

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A free boundary problem for an inhomogeneous operator with nonstandard growth

Por Claudia Lederman (Universidad de Buenos Aires and IMAS - CONICET).

Abstract: We present recent results on a free boundary problem for an inhomogeneous operator with nonstandard growth. This operator has been used in the modelling of electrorheological fluids and in image processing. We obtain free boundary regularity results for weak solutions and we apply these results to minimizers of suitable energy functionals.

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Small data global regularity for Ericksen-Leslie's hyperbolic liquid crystal model in dimensions three

Por Lifeng Zhao (University of Science and Technology of China).

Ler mais acerca de Small data global regularity for Ericksen-Leslie's hyperbolic liquid crystal model in dimensions three

Existence and decay rates of L2 norms for a generalized semilinear dissipative equation of Boussinesq/plate type

Por Ruy Coimbra Charão (Federal University of Santa Catarina).

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Open mathematical problems in continuum mechanics solids

Por Tomas Roubicek (Czech Academy of Sciences).

Abstract: Various models at large strains will be surveyed and mathematical difficulties will be highlighted to show that a lot of fundamental problems still remain open. Nevertheless, some results are available in particular if the concept of nonsimple materials is addopted, both in the static, quasistatic, and dynamical situations.