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A logistic type equation in RN with a nonlocal reaction term via bifurcation method

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Abstract We study the existence of positive solutions of a logistic equation in the entire space with a nonlocal reaction term. Mainly, we apply a bifurcation method and singular boundary… Click to show full abstract

Abstract We study the existence of positive solutions of a logistic equation in the entire space with a nonlocal reaction term. Mainly, we apply a bifurcation method and singular boundary equations to obtain a priori bounds of the solutions. Our results show a drastic change of behaviour of the set of positive solutions depending on the sign of the nonlocal term.

Keywords: term; nonlocal reaction; reaction term; equation; bifurcation method

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021

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