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arXiv · 1304.3211

Qualitative Analysis of Rupture Solutions for an MEMS Problem

Juan Davila·Kelei Wang·Juncheng Wei
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Abstract

We prove a sharp Hölder continuity estimates of rupture sets for sequences of solutions of the following nonlinear problem with negative exponent $$ Δu= \frac{1}{u^p}, \ p>1, \ \mbox{in} \ Ω.$$ As a consequence, we prove the existence of rupture solutions with isolated ruptures in a bounded convex domain in $\R^2$.

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Juan Davila, Kelei Wang, Juncheng Wei. 2013-04-11. Qualitative Analysis of Rupture Solutions for an MEMS Problem. https://arxiv.org/abs/1304.3211

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