Boundary regularity and compactness for overdetermined problems
Ivan Blank, Henrik Shahgholian (2003)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Let be either the unit ball or the half ball let be a strictly positive and continuous function, and let and solve the following overdetermined problem: where denotes the characteristic function of denotes the set and the equation is satisfied in the sense of distributions. When then we impose in addition that We show that a fairly mild thickness assumption on will ensure enough compactness on...