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Positive Solutions for the Generalized Nonlinear Logistic Equations

Published online by Cambridge University Press:  20 November 2018

Leszek Gasiński  and
Nikolaos S. Papageorgiou
Leszek Gasiński
Affiliation:
Jagiellonian University, Faculty of Mathematics and Computer Science, Kraków, Poland e-mail: leszek.gasinski@ii.uj.edu.pl
Nikolaos S. Papageorgiou
Affiliation:
National Technical University, Department of Mathematics, Zografou Campus, Athens 15780, Greece e-mail: npapg@math.ntua.gr
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Abstract

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We consider a nonlinear parametric elliptic equation driven by a nonhomogeneous differential operator with a logistic reaction of the superdiffusive type. Using variational methods coupled with suitable truncation and comparison techniques, we prove a bifurcation type result describing the set of positive solutions as the parameter varies.

Keywords

35J2535J92positive solutionbifurcation type resultstrong comparison principlenonlinear regularitynonlinear maximum principle
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 59 , Issue 1 , 01 March 2016 , pp. 73 - 86
Copyright
Copyright © Canadian Mathematical Society 2016

References

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