Boundary behaviour for p harmonic functions in Lipschitz and starlike Lipschitz ring domains
John L. Lewis, Kaj Nyström (2007)
Annales scientifiques de l'École Normale Supérieure
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John L. Lewis, Kaj Nyström (2007)
Annales scientifiques de l'École Normale Supérieure
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Daniele Bartolucci, Fabiana Leoni, Luigi Orsina, Augusto C. Ponce (2005)
Annales de l'I.H.P. Analyse non linéaire
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Cho, Sungwon, Safonov, Mikhail (2007)
Boundary Value Problems [electronic only]
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Ferrari, Fausto, Salsa, Sandro (2007)
Boundary Value Problems [electronic only]
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Nicolas Forcadel, Aurélien Monteillet (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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We prove existence of minimizing movements for the dislocation dynamics evolution law of a propagating front, in which the normal velocity of the front is the sum of a non-local term and a mean curvature term. We prove that any such minimizing movement is a weak solution of this evolution law, in a sense related to viscosity solutions of the corresponding level-set equation. We also prove the consistency of this approach, by showing that any minimizing movement coincides with the smooth...
Rivera-Noriega, Jorge (2007)
Abstract and Applied Analysis
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Ziemer, William P.
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