Concentration phenomena for solutions of superlinear elliptic problems
Riccardo Molle, Donato Passaseo (2006)
Annales de l'I.H.P. Analyse non linéaire
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Riccardo Molle, Donato Passaseo (2006)
Annales de l'I.H.P. Analyse non linéaire
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Valeria Chiadò Piat, Andrey Piatnitski (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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The work focuses on the Γ-convergence problem and the convergence of minimizers for a functional defined in a periodic perforated medium and combining the bulk (volume distributed) energy and the surface energy distributed on the perforation boundary. It is assumed that the mean value of surface energy at each level set of test function is equal to zero. Under natural coercivity and -growth assumptions on the bulk energy, and the assumption that the surface energy satisfies -growth...
Michel Bellieud (2005)
ESAIM: Control, Optimisation and Calculus of Variations
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We study the homogenization of parabolic or hyperbolic equations like when the coefficients , (defined in ) take possibly high values on a -periodic set of grain-like inclusions of vanishing measure. Memory effects arise in the limit problem.
Redwane, Hicham (2009)
International Journal of Mathematics and Mathematical Sciences
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Carlos Conca, François Murat, Claudia Timofte (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The limit behavior of the solutions of Signorini’s type-like problems in periodically perforated domains with period is studied. The main feature of this limit behaviour is the existence of a critical size of the perforations that separates different emerging phenomena as . In the critical case, it is shown that Signorini’s problem converges to a problem associated to a new operator which is the sum of a standard homogenized operator and an extra zero order term (“strange term”) coming...
Bildhauer, Martin, Fuchs, Martin (2001)
Annales Academiae Scientiarum Fennicae. Mathematica
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Sy, Alassane, Seck, Diaraf (2009)
Boundary Value Problems [electronic only]
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I. A. Guerra (2008)
Annales de l'I.H.P. Analyse non linéaire
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