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20082022
most citedOptimal boundary holes for the Sobolev trace constant

7 citations · 22 across the 24 of their papers we have counts for

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5 papers · 1 filter

math.AP2022★ 2 cited

Dirichlet Problem for Degenerate Fractional Parabolic Hyperbolic Equations

Gerardo Huaroto, Wladimir Neves

We are concerned in this paper with the degenerate fractional diffusion advection equations posed in bounded domains. Due to a suitable formulation, we show the existence of weak e…

math.AP2022

On a study and applications of the Concentration-compactness type principle for Systems with critical terms in

L. M. M. Bonaldo, E. J. Hurtado, W. Neves

In this paper, we obtain some important variants of the Lions and Chabrowski Concentration-compactness principle, in the context of fractional Sobolev spaces with variable exponent…

math.AP2022

On Fractional Benney Type Systems

Wladimir Neves, Dionicio Orlando

This paper introduces fractional type evolutionary equations modeling the interaction between short waves and long waves. We consider a fractional Benney type system, which is give…

math.AP2022

On a Characterization of the Rellich-Kondrachov Theorem on Groups

Vernny Ccajma, Wladimir Neves, Jean Silva

Motivated by an eigenvalue-eigenfunction problem posed in IR^n x Ω, where Ω is a probability space, we are concerned in this paper with the Sobolev space on groups. Hence it is est…

math.AP2022

Solvability of the Fractional Hyperbolic Keller-Segel System

Gerardo Huaroto, Wladimir Neves

We study a new nonlocal approach to the mathematical modelling of the Chemotaxis problem, which describes the random motion of a certain population due a substance concentration. C…