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20122025
most citedA nonlinear elliptic problem with terms concentrating in the boundary

22 citations · 36 across the 7 of their papers we have counts for

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6 papers · 1 filter

math.AP2025

Pullback dynamics for a semilinear heat equation with homogeneous Neumann boundary conditions on time-varying domains

Gleiciane S. Aragão, Flank D. M. Bezerra, Lucas G. Mendonça

We are interested in studying a non-autonomous semilinear heat equation with homogeneous Neumann boundary conditions on time-varying domains. Using a differential geometry approach…

math.AP2024

Continuity of attractors of parabolic equations with nonlinear boundary conditions and rapidly varying boundaries. The case of a Lipschitz deformation

Gleiciane S. Aragão, José M. Arrieta, Simone M. Bruschi

In this paper we obtain the continuity of attractors for nonlinear parabolic equations with nonlinear boundary conditions when the boundary of the domain varies very rapidly as a p…

math.AP2018★ 2 cited

Continuity of the set equilibria of non-autonomous damped wave equations with terms concentrating on the boundary

Flank D. M. Bezerra, Gleiciane da Silva Aragão

In this paper we are interested in the behavior of the solutions of non-autonomous damped wave equations when some reaction terms are concentrated in a neighborhood of the boundary…

math.AP2014★ 1 cited

Concentrated terms and varying domains in elliptic equations: Lipschitz case

G. S. Aragão, S. M Bruschi

In this paper, we analyze the behavior of a family of solutions of a nonlinear elliptic equation with nonlinear boundary conditions, when the boundary of the domain presents a high…

math.AP2012★ 11 cited

Continuity of attractors for a nonlinear parabolic problem with terms concentrating in the boundary

Gleiciane S. Aragão, Antônio L. Pereira, Marcone C. Pereira

We analyze the dynamics of the flow generated by a nonlinear parabolic problem when some reaction and potential terms are concentrated in a neighborhood of the boundary. We assume…

math.AP2012★ 22 cited

A nonlinear elliptic problem with terms concentrating in the boundary

Gleiciane S. Aragão, Antônio L. Pereira, Marcone C. Pereira

In this paper we investigate the behavior of a family of steady state solutions of a nonlinear reaction diffusion equation when some reaction and potential terms are concentrated i…