A FUJITA-TYPE THEOREM FOR THE LAPLACE EQUATION WITH A DYNAMICAL BOUNDARY CONDITION
H. AMANN and M. FILA
Abstract.
We find a critical exponent for global existence of positive solutions of the Laplace equation on a half-space with a dynamical boundary condition.
AMS subject classification.
35J05, 35B05
Keywords.
Global existence, blow-up, Laplace equation, dynamical boundary condition
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