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math.AP2025
A mixed eigenvalue problem on domains tending to infinity in several directions
Prosenjit Roy, Itai Shafrir
The aim of this article is to analyze the asymptotic behaviour of the eigenvalues of elliptic operators in divergence form with mixed boundary type conditions for domains that beco…
math.AP2025
Asymptotic issue for fractional laplacian on long cylinders
Tahir Boudjeriou, Prosenjit Roy
In this paper, we are concerned with the asymptotic behavior of weak solutions to certain elliptic and parabolic problems involving the fractional -Laplacian in cylindrical doma…
math.AP2025
Finsler -Laplacian in domains becoming unbounded
Luca Esposito, Lorenzo Lamberti, Dattatreya N. N. +1
We study the asymptotic behavior of sequences of solutions, energies functionals, and the first eigenvalues associated with the Finsler -Laplace operator, also known as the anis…