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Uma classe de polinômios ortogonais de Sobolev no círculo unitário: limitantes, resultados assintóticos e zeros
(Universidade Estadual Paulista (Unesp), 2022-02-16)
O principal objetivo deste trabalho é apresentar um estudo detalhado de uma classe de polinômios ortogonais de Sobolev no círculo unitário introduzida por A. Sri Ranga em “Orthogonal polynomials with respect to a family ...
Existência de solução para um problema elíptico envolvendo o expoente crítico de Sobolev
(Universidade Federal de Santa MariaBrasilMatemáticaUFSMPrograma de Pós-Graduação em MatemáticaCentro de Ciências Naturais e Exatas, 2020-03-27)
This work presents a study on the existence or not of a solution for the following elliptical
problem with Sobolev’s critical exponent
8>
><>>:
����� u = u2 �����1 + f(x; u) in
u > 0 in
u = 0 on @
;
where
...
La Desigualdad de Sobolev
(Universidad Nacional Mayor de San MarcosPE, 2019)
Demuestra la desigualdad de Sobolev. Inicialmente, el enfoque se basó en las desigualdades clásicas, tales como la desigualdad de Jensen, Holder y Minkowski. Luego de ello, se presentó las herramientas principales con las ...
On a class of quasilinear elliptic problems involving critical exponents
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2000)
Asymptotics for Gegenbauer-Sobolev orthogonal polynomials associated with non-coherent pairs of measures
(IOS Press, 2008-01-01)
Inner products of the type < f, g >(S) = < f, g >psi(0) + < f', g'>psi(1), where one of the measures psi(0) or psi(1) is the measure associated with the Gegenbauer polynomials, are usually referred to as Gegenbauer-Sobolev ...
Asymptotics for Gegenbauer-Sobolev orthogonal polynomials associated with non-coherent pairs of measures
(IOS Press, 2008-01-01)
Inner products of the type < f, g >(S) = < f, g >psi(0) + < f', g'>psi(1), where one of the measures psi(0) or psi(1) is the measure associated with the Gegenbauer polynomials, are usually referred to as Gegenbauer-Sobolev ...
A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: Bounds, asymptotics and zeros
(2021-08-01)
This paper deals with orthogonal polynomials and associated connection coefficients with respect to a class of Sobolev inner products on the unit circle. Under certain conditions on the parameters in the inner product it ...