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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.FA2021
Axiomatization of the degree of Fitzpatrick, Pejsachowicz and Rabier
Julián López-Gómez, Juan Carlos Sampedro
In this paper we prove an analogue of the uniqueness theorems of Führer and Amann and Weiss to cover the degree of Fredholm operators of index zero of Fitzpatrick, Pejsachowicz and…
math.AP2021
Bifurcation Theory for Fredholm Operators
Julián López-Gómez, Juan Carlos Sampedro
This paper consists of four parts. It begins by using the authors's generalized Schauder formula, [50], and the algebraic multiplicity, , of Esquinas and López-Gómez [18,17,40]…