6 papers · 1 filter
A class of Hamilton-Jacobi equations on Banach-Finsler manifolds
J. A. Jaramillo, M. Jimenez-Sevilla, J. L. Rodenas-Pedregosa +1
The concept of subdifferentiability is studied in the context of Finsler manifolds (modeled on a Banach space with a Lipschitz bump function). A class of Hamilton-Jacob…
Global inversion of nonsmooth mappings on Finsler manifolds
Jesus A. Jaramillo, Oscar Madiedo, Luis Sanchez-Gonzalez
We consider the problem of finding sufficient conditions for a locally Lipschitz mapping between Finsler manifolds to be a global homeomorphism. For this purpose, we develop the no…
On smooth extensions of vector-valued functions defined on closed subsets of Banach spaces
M. Jimenez-Sevilla, L. Sanchez-Gonzalez
Let and be Banach spaces, a closed subset of and a mapping . We give necessary and sufficient conditions to obtain a smooth mapping suc…
Characterization of a Banach-Finsler manifold in terms of the algebras of smooth functions
J. A. Jaramillo, M. Jimenez-Sevilla, L. Sanchez-Gonzalez
In this note we give sufficient conditions to ensure that the weak Finsler structure of a complete Finsler manifold is determined by the normed algebra of all…
On some problems on smooth approximation and smooth extension of Lipschitz functions on Banach-Finsler Manifolds
M. Jimenez-Sevilla, L. Sanchez-Gonzalez
Let us consider a Riemannian manifold (either separable or non-separable). We prove that, for every , every Lipschitz function can be uniformly a…
Smooth extension of functions on a certain class of non-separable Banach spaces
Mar Jimenez-Sevilla, Luis Sanchez-Gonzalez
Let us consider a Banach space with the property that every real-valued Lipschitz function can be uniformly approximated by a Lipschitz, -smooth function with $\Li…