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Ondas não lineares : taxas de decaimento uniforme e turbulência fraca
(Departamento de MatemáticaPrograma de Pós-Graduação em MatemáticaUEMCentro de Ciências Exatas, 2019)
Bessel Potentials in Ahlfors Regular Metric Spaces
(Springer, 2016-08)
In this paper we introduce Bessel potentials and the Sobolev potential spaces resulting from them in the context of Ahlfors regular metric spaces. The Bessel kernel is defined using a Coifman type approximation of the ...
A note on homogeneous Sobolev spaces of fractional order
(Springer Heidelberg, 2019-08)
We consider a homogeneous fractional Sobolev space obtained by completion of the space of smooth test functions, with respect to a Sobolev–Slobodeckiĭ norm. We compare it to the fractional Sobolev space obtained by the ...
Radial solutions of quasilinear equations in Orlicz-Sobolev type spaces
(ElsevierSan Diego, 2015-08)
This paper is devoted to prove the existence of a nontrivial nonnegative radial solution for the quasilinear elliptic equation [...] The function ϕ is allowed to belong to a larger class, which includes the special cases ...
Mathematical theory of incompressible flows: local existence, uniqueness, blow-up and asymptotic behavior of solutions in Sobolev-Gevrey and Lei-Lin spaces
(Universidade Federal de Minas GeraisBrasilICEX - INSTITUTO DE CIÊNCIAS EXATASPrograma de Pós-Graduação em MatemáticaUFMG, 2019-04-22)
On Best Constants for Limiting Embeddings of Fractional Sobolev Spaces
(Advanced Nonlinear Studies, IncSan AntonioEUA, 2010)
On the boundedness of generalized Cesaro operators on Sobolev spaces
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2014)
On the Sobolev trace Theorem for variable exponent spaces in the critical range
(Springer Heidelberg, 2013-05)
In this paper, we study the Sobolev trace Theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of extremals. Then, we give local conditions ...