22,896 research outputs found
Existence of stable solutions to in with and
We consider the polyharmonic equation in
with and . We prove the existence of many entire stable
solutions. This answer some questions raised by Farina and Ferrero
Critical criteria of Fujita type for a system of inhomogeneous wave inequalities in exterior domains
We consider blow-up results for a system of inhomogeneous wave inequalities
in exterior domains. We will handle three type boundary conditions: Dirichlet
type, Neumann type and mixed boundary conditions. We use a unified approach to
show the optimal criteria of Fujita type for each case. Our study yields
naturally optimal nonexistence results for the corresponding stationary wave
system and equation. We provide many new results and close some open questions
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