From the 1 of 4 linked papers with an AI index.
4 papers
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…
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…
Compact embeddings of Bessel Potential Spaces
José C. Bellido, Javier Cueto, Guillermo GarcÃa-Sáez
Bessel potential spaces have gained renewed interest due to their robust structural properties and applications in fractional partial differential equations (PDEs). These spaces, d…
Bessel Potential Spaces and Complex Interpolation: Continuous embeddings
José Carlos Bellido, Guillermo GarcÃa-Sáez
Bessel potential spaces, introduced in the 1960s, are derived through complex interpolation between Lebesgue and Sobolev spaces, making them intermediate spaces of fractional diffe…