Bifurcation in a reaction-diffusion model with nonlocal delay effect and nonlinear boundary condition

S Guo - Journal of Differential Equations, 2021 - Elsevier
In this paper, the existence, stability, and multiplicity of steady-state solutions and periodic
solutions for a reaction-diffusion model with nonlocal delay effect and nonlinear boundary …

[HTML][HTML] On the stability of reaction–diffusion models with nonlocal delay effect and nonlinear boundary condition

S Guo, S Li - Applied Mathematics Letters, 2020 - Elsevier
On the stability of reaction–diffusion models with nonlocal delay effect and nonlinear boundary
condition - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

Attractors for a nonlinear parabolic problem with terms concentrating on the boundary

GS Aragao, AL Pereira, MC Pereira - Journal of Dynamics and Differential …, 2014 - Springer
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 …

A nonlinear elliptic problem with terms concentrating in the boundary

GS Aragão, AL Pereira… - Mathematical Methods in …, 2012 - Wiley Online Library
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 in a ε …

[HTML][HTML] Upper semicontinuity of the pullback attractors of non-autonomous damped wave equations with terms concentrating on the boundary

GS Aragão, FDM Bezerra - Journal of Mathematical Analysis and …, 2018 - Elsevier
In this paper we analyze the asymptotic behavior of the pullback attractors of a non-
autonomous damped wave equation when some reaction terms are concentrated in a …

A nonlinear damped transmission problem as limit of wave equations with concentrating nonlinear terms away from the boundary

Á Jiménez-Casas, A Rodríguez-Bernal - Nonlinear Analysis, 2024 - Elsevier
In this paper we study an initial and boundary value problem for damped wave equations
with nonlinear singular terms concentrating away from the boundary of the domain, on an …

Remarks on semilinear parabolic systems with terms concentrating in the boundary

MC Pereira - Nonlinear Analysis: Real World Applications, 2013 - Elsevier
We are concerned with the asymptotic behavior of a dynamical system generated by a family
of semilinear parabolic systems with reaction and potential terms concentrating in a …

[PDF][PDF] Nonlinear elliptic equations with concentrating reaction terms at an oscillatory boundary

JM Arrieta, A Nogueira, MC Pereira - Discrete & Continuous …, 2019 - repositorio.usp.br
In this paper we analyze the asymptotic behavior of a family of solutions of a semilinear
elliptic equation, with homogeneous Neumann boundary condition, posed in a two …

PDE problems with concentrating terms near the boundary

Á Jiménez Casas, A Rodríguez Bernal - 2020 - docta.ucm.es
In this paper we study several PDE problems where certain linear or nonlinear termsin the
equation concentrate in the domain, typically near the boundary. We analyze some linear …

[PDF][PDF] Boundary feedback as a singular limit of damped hyperbolic problems with terms concentrating at the boundary.

Á Jiménez-Casas… - Discrete & Continuous …, 2019 - pdfs.semanticscholar.org
In this paper we show how solutions of a wave equation with distributed damping near the
boundary converge to solutions of a wave equation with boundary feedback damping …