Marcone C. Pereira

activity

20112026

most citedHomogenization in a thin domain with an oscillatory boundary

52 citations · 130 across the 13 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.AP2018★ 15 cited

Nonlocal problems in perforated domains

Marcone C. Pereira, Julio D. Rossi

In this paper we analyze nonlocal equations in perforated domains. We consider nonlocal problems of the form $f (x) = \int_{B} J (x - y) (u (y) - u (x)) d y$ with $x$ in a perforated doma…

math.AP2018

Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries

José M. Arrieta, Ariadne Nogueira, Marcone C. Pereira

In this work we study the behavior of a family of solutions of a semilinear elliptic equation, with homogeneous Neumann boundary condition, posed in a two-dimensional oscillating t…