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math.AP2024
Periodic solutions to nonlocal pseudo-differential equations. A bifurcation theoretical perspective
Juan Carlos Sampedro
In this paper we use abstract bifurcation theory for Fredholm operators of index zero to deal with periodic even solutions of the one-dimensional equation …
math.AP2024
Blow-up estimates and a priori bounds for the positive solutions of a class of superlinear indefinite elliptic problems
Julián López-Gómez, Juan Carlos Sampedro
In this paper we find out some new blow-up estimates for the positive explosive solutions of a paradigmatic class of elliptic boundary value problems of superlinear indefinite type…