Abstract This paper is concerned with non-existence of positive solutions to nonlocal Lane-Emden equations. Firstly, we establish the “Fujita index” for nonlocal reaction-diffusion equations, which is new in the blowup… Click to show full abstract
Abstract This paper is concerned with non-existence of positive solutions to nonlocal Lane-Emden equations. Firstly, we establish the “Fujita index” for nonlocal reaction-diffusion equations, which is new in the blowup theory. Then the non-existence of positive solutions to nonlocal Lane-Emden equations is obtained because they are the limit (stationary) equations to the corresponding nonlocal reaction-diffusion equations.
               
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