integro-differential equations 1kernel conditions 1maximum principle 1nonlocal operators 1rho-laplacian 1
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math.AP2026
Nonlocal gradient, the nonlocal Laplacian and maximum principles
José Carlos Bellido, Guillermo GarcÃa-Sáez, José Camilo Rueda-Niño
The paper investigates a nonlocal rho‑Laplacian defined via nonlocal gradient and divergence with a radial kernel, establishes its relation to known integro‑differential elliptic o…
math.AP2026
A general theory of nonlocal elasticity based on nonlocal gradients and connections with Eringen's model
J. C. Bellido, G. GarcÃa-Sáez
We develop a general theory of nonlocal linear elasticity based on nonlocal gradients with general radial kernels. Starting from a nonlocal hyperelastic energy functional, we perfo…