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math.AP2024
Eigenvalue estimates and maximum principle for Lane-Emden systems, and applications to poly-Laplacian equations
Sabri Bahrouni, Edir Júnior Ferreira Leite, Gustavo Ferron Madeira
This paper deals with explicit upper and lower bounds for principal eigenvalues and the maximum principle associated to generalized Lane-Emden systems (GLE systems, for short). Reg…
math.AP2024
Peridynamics and Anisotropic Fractional Sobolev Spaces with Variable Exponents
Sabri Bahrouni, Julian Fernandez Bonder, Ignacio Ceresa Dussel +1
In this paper, our primary objective is to develop the peridynamic fractional Sobolev space and establish novel BBM-type results associated with it. We also address the peridynamic…