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Title: Nonlinear nonhomogeneous logistic equations of superdiffusive type
Author: Aizicovici, Sergiu
Papageorgiou, Nikolaos
Staicu, Vasile
Keywords: Minimal positive solution
Nonhomogeneous differential operator
Nonlinear regularity the ory
Nonlinear maximum principle
Superdiffusive reaction
Issue Date: 16-Aug-2022
Publisher: Biemdas Academic Publishers
Abstract: We consider a nonlinear logistic equation of superdiffusive type driven by a nonhomogeneous differential operator and a Robin boundary condition. We prove a multiplicity result for positive solutions which is global with respect to the parameter λ > 0 (bifurcation-type theorem). We also demonstrate the existence of a minimal positive solution uλ and determine the monotonicity and continuity properties of the minimal solution map λ → uλ.
Peer review: yes
DOI: 10.23952/asvao.4.2022.3.03
ISSN: 2562-7775
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Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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