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BIRS Workshop Lecture Videos

Hölder estimates for solutions of a MEMS equation Davila, Juan


We prove sharp Hölder estimates for sequences of positive solutions of a nonlinear elliptic problem with negative exponent. As a consequence, we prove the existence of solutions with isolated ruptures in a bounded convex domain in two dimensions. This is joint work with Kelei Wang (Wuhan University) and Juncheng Wei (University of British Columbia).

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