Qualitative analysis of rupture solutions for a MEMS problem
Author
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Dávila Bonczos, Juan
Author
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Wang, Kelei
Author
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Wei, Juncheng
Admission date
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2016-05-19T20:39:56Z
Available date
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2016-05-19T20:39:56Z
Publication date
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2016
Cita de ítem
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Annales de L Institut Henri Poincaré–Analyse non Lineaire 33 (2016) 221–242
en_US
Identifier
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DOI: 10.1016/j.anihpc.2014.09.009
Identifier
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https://repositorio.uchile.cl/handle/2250/138389
General note
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Artículo de publicación ISI
en_US
Abstract
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We prove sharp Holder continuity and an estimate of rupture sets for sequences of solutions of the following nonlinear problem with negative exponent
Delta u =1/u(p) in Omega, p > 1.
As a consequence, we prove the existence of rupture solutions with isolated ruptures in a bounded convex domain in R-2.