A variational approach to nonlinear logistic equations-Reference-Cited by-同舟云学术

A variational approach to nonlinear logistic equations

Published:2015-03-23 Issue:03 Volume:17 Page:1450021
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Gasiński Leszek¹,O'Regan Donal²,Papageorgiou Nikolaos S.³

Affiliation:

1. Faculty of Mathematics and Computer Science, Institute of Computer Science, Jagiellonian University, ul. Łojasiewicza 6, 30-348 Kraków, Poland

2. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

3. Department of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece

Abstract

We consider a nonlinear logistic type equation. For all big values of the parameter, we show that the problem admits nontrivial solutions of constant sign and in fact we establish the existence of extremal constant sign solutions. Using these extremal solutions, we produce a nodal (sign-changing) solution. We also investigate the uniqueness and continuous dependence on the parameter of positive solutions. Finally, we study the degenerate p-logistic equation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199714500217

Reference41 articles.

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