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Autor Ferrera Cuesta, Juan |
Documentos disponibles escritos por este autor (25)
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Let E and F be two Banach spaces and let A be a nonempty subset of E . A mapping f:A?F is said to be weakly continuous if it is continuous when A has the relative weak topology and F has the topology of its norm. Let A={E} , B= {A?E:A is[...]texto impreso
We introduce a proximal subdifferential and develop a calculus for nonsmooth functions defined on any Riemannian manifold M. We give some applications of this theory, concerning, for instance, a Borwein-Preiss type variational principle on a Rie[...]texto impreso
We show how Lasry-Lions's result on regularization of functions defined on R-n or on Hilbert spaces by sup inf convolutions with squares of distances can be extended to (finite or infinite dimensional) Riemannian manifolds M of bounded sectional[...]texto impreso
Azagra Rueda, Daniel ; Ferrera Cuesta, Juan ; López-Mesas Colomina, Fernando ; Rangel, Y. | Elsevier | 2007-02-15We show that for every Lipschitz function f defined on a separable Riemannian manifold M (possibly of infinite dimension), for every continuous epsilon : M -> (0, + infinity), and for every positive number r > 0, there exists a C-infinity smoo[...]texto impreso
This paper is very much in the spirit of a paper by H. Corson [Trans. Amer. Math. Soc. 101 (1961), 1–15; MR0132375 (24 2220)]. Let E be a real Banach space. The bw-topology on E is the finest topology which agrees with the weak topology on all b[...]texto impreso
Let a polynomial function f of two real variables be given. We prove the existence of a finite number of unbounded regions of the real plane along which the tangent planes to the graph of f tend to horizontal position, when moving away from the [...]texto impreso
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The authors consider the space of bounded holomorphic functions on the open unit ball of a Banach space with the natural analogue of the strict topology ? for the one- (or finite-)dimensional case. This can be defined by means of weighted semino[...]texto impreso
We prove comparison, uniqueness and existence results for viscosity solutions to a wide class of fully nonlinear second order partial differential equations F(x, u, du, d(2)u) = 0 defined on a finite-dimensional Riemannian manifold M. Finest res[...]texto impreso
In this paper we solve the problem of extending continuous functions with nonempty subdifferential at every point of a closed subset A of R-n to functions with the same property defined in the whole Rn, keeping the property of outer semicontinui[...]