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math.AP2021★ 1 cited
The weighted periodic-parabolic degenerate logistic equation
D. Aleja, I. Antón, J. López-Gómez
The main goal of this paper is twofold. First, it characterizes the existence of positive periodic solutions for a general class of weighted periodic-parabolic logistic problems of…
math.AP2019
General uniqueness results for large solutions
Julián López-Gómez, Luis Maire, Laurent Veron
We give a series of very general sufficient conditions in order to ensure the uniqueness of large solutions for --u + f (x, u) = 0 in a bounded domain where f : x R $\ri…
math.AP2019
The Picone identity: A device to get optimal uniqueness results and global dynamics in Population Dynamics
Sergio Fernández-Rincón, Julián López-Gómez
This paper infers from a generalized Picone identity the uniqueness of the stable positive solution for a class of semilinear equations of superlinear indefinite type, as well as t…