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Valadier-like formulas for the supremum function I
(Heldermann Verlag, 2018)
We generalize and improve the original characterization given by Valadier [18, Theorem 1] of the subdifferential of the pointwise supremum of convex functions, involving the subdifferentials of the data functions at nearby ...
A note on systems with ordinary and impulsive controls
(2016)
We investigate an everywhere defined notion of solution for control systems whose dynamics depend non-linearly on the control u and state x, and are affine in the time derivative u˙. For this reason, the input u, which is ...
Uma nova caracterização dos Espaços de Sobolev W^{1,p}(R^n)
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2018-04-06)
In this work we will present a new characterization of the Sobolev space W^{1,1}(\R^n) and also we give another proof of the characterization of the Sobolev space W^{1,p}(\R^n), 1<p<\infty, in terms of Poincaré inequalities. ...
Valadier-like Formulas for the Supremum Function II: The compactly indexed case
(Heldermann Verlag, 2017)
Continuing with the work on the subdifferential of the pointwise supremum of
convex functions, started in Valadier-like formulas for the supremum function I [3],
we focus now on the compactly indexed case. We assume that ...
Operadores en espacios de Lebesgue generalizados
(2013-06-07)
Variable exponent spaces have been the subject of quite a lot of interest recently. Much of this interest is focused on the study of operators connected with the regularity properties of solutions of problems associated ...
Fractional Laplacians on the sphere, the Minakshisundaram zeta function and semigroups
(American Mathematical Society, 2019)
In this paper we show novel underlying connections between fractional powers of the Laplacian on the unit sphere and functions from analytic number theory and differential geometry, like the Hurwitz zeta function and the ...
Valadier-like Formulas for the Supremum Function I
(2018)
We generalize and improve the original characterization given by Valadier [19, Theorem 1] of the subdifferential of the pointwise supremum of convex functions, involving the subdifferentials of the data functions at nearby ...
Valadier-like Formulas for the Supremum Function I
(2018)
We generalize and improve the original characterization given by Valadier [19, Theorem 1] of the subdifferential of the pointwise supremum of convex functions, involving the subdifferentials of the data functions at nearby ...