Smoothness in disjoint groups of real functions under composition.
Smoothness of a typical convex function
Smoothness of vector sums of plane convex sets.
Smoothness Properties of Solutions of Caputo-Type Fractional Differential Equations
Mathematics Subject Classification: 26A33, 34A25, 45D05, 45E10We consider ordinary fractional differential equations with Caputo-type differential operators with smooth right-hand sides. In various places in the literature one can find the statement that such equations cannot have smooth solutions. We prove that this is wrong, and we give a full characterization of the situations where smooth solutions exist. The results can be extended to a class of weakly singular Volterra integral equations.
Sobolev and isoperimetric inequalities for degenerate metrics.
Sobolev embeddings with variable exponent
Sobolev inequalities for probability measures on the real line
We give a characterization of those probability measures on the real line which satisfy certain Sobolev inequalities. Our starting point is a simpler approach to the Bobkov-Götze characterization of measures satisfying a logarithmic Sobolev inequality. As an application of the criterion we present a soft proof of the Latała-Oleszkiewicz inequality for exponential measures, and describe the measures on the line which have the same property. New concentration inequalities for product measures follow....
Sobolev inequalities in 2-D hyperbolic space: A borderline case.
Sobolev-type spaces from generalized Poincaré inequalities
We define a Sobolev space by means of a generalized Poincaré inequality and relate it to a corresponding space based on upper gradients.
Sobre la concavidad de t-normas y de funciones triangulares.
In this note we prove that the unique concave t-norm is Minimum and, among the class of triangular functions that have the family of unit step-functions as idempotent elements, the unique concave triangular function is piM.
Sobre la historia del concepto topológico de curva.
Solitary wave solutions for a time-fraction generalized Hirota-Satsuma coupled KdV equation by a new analytical technique.
Solution de la question 1570, proposée par M. Rouché
Solution manifolds for systems of differential equations.
Solution of a problem of M. Katz concerning the optimization of a functional
Solution of an extraordinary differential equation by Adomian decomposition method.
Solution of one conjecture on inequalities with power-exponential functions.
Solution of some weight problems for the Riemann-Liouville and Weyl operators.
Solution of Space-Time Fractional Schrödinger Equation Occurring in Quantum Mechanics
Dedicated to Professor A.M. Mathai on the occasion of his 75-th birthday. Mathematics Subject Classi¯cation 2010: 26A33, 44A10, 33C60, 35J10.The object of this article is to present the computational solution of one-dimensional space-time fractional Schrödinger equation occurring in quantum mechanics. The method followed in deriving the solution is that of joint Laplace and Fourier transforms. The solution is derived in a closed and computational form in terms of the H-function. It provides an elegant...
Solution of Volterra-type integro-differential equations with a generalized Lauricella confluent hypergeometric function in the kernels.