Two distinct critical exponents control the existence of weak solutions to the biharmonic heat equation with Hardy-Rellich potential and weighted nonlinearity in exterior domains.
Fujita, On the blowing up of solutions of the Cauchy problem forut = ∆ u + u1+α, J
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Double Criticality for a Hardy-Rellich Biharmonic Heat Equation in an Exterior Domain
Two distinct critical exponents control the existence of weak solutions to the biharmonic heat equation with Hardy-Rellich potential and weighted nonlinearity in exterior domains.