The periodic unfolding method in perforated domains.
Cioranescu, Doina, Donato, Patrizia, Zaki, Rachad (2006)
Portugaliae Mathematica. Nova Série
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Cioranescu, Doina, Donato, Patrizia, Zaki, Rachad (2006)
Portugaliae Mathematica. Nova Série
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Jaeyoung Byeon, Zhi-Qiang Wang (2009)
Annales de l'I.H.P. Analyse non linéaire
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Souto, Marco A. S. (2002)
Abstract and Applied Analysis
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P. H. Rabinowitz, E. Stredulinsky (2004)
Annales de l'I.H.P. Analyse non linéaire
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Luisa Fattorusso (2008)
Czechoslovak Mathematical Journal
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Let be a bounded open subset of , . In we deduce the global differentiability result for the solutions of the Dirichlet problem with controlled growth and nonlinearity . The result was obtained by first extending the interior differentiability result near the boundary and then proving the global differentiability result making use of a covering procedure.
Matteo Novaga, Enrico Valdinoci (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider a mesoscopic model for phase transitions in a periodic medium and we construct multibump solutions. The rational perturbative case is dealt with by explicit asymptotics.