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19942026
most citedOptimal Dynamical Range of Excitable Networks at Criticality

840 citations

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37 papers · 1 filter

math.AP2025

Finite energy solutions of quasilinear elliptic equations with Orlicz growth

Estevan Luiz da Silva, João Marcos do Ó

We present a sufficient condition, expressed in terms of Wolff potentials, for the existence of a finite energy solution to the measure data -Laplacian equation with a "subl…

math.AP2024★ 1 cited

Upper semicontinuity for a class of nonlocal evolution equations with Neumann condition

Flank D. M. Bezerra, Silvia Sastre-Gomez, Severino H. da Silva

In this paper we consider the following nonlocal autonomous evolution equation in a bounded domain in \[ \partial_t u(x,t) =- h(x)u(x,t) + g \Big(\int_Ω J(x,y)u(…

math.AP2024★ 8 cited

Equivalent formulations for steady periodic water waves of fixed mean-depth with discontinuous vorticity

Silvia Sastre-Gómez

In this work we prove the equivalence between three different weak formulations of the steady periodic water wave problem where the vorticity is discontinuous. In particular, we pr…

math.AP2023

An inhomogeneous nonlinear parabolic equation with concave nonlinearity

Miguel Loayza, Mohamed Majdoub

We establish both the existence and uniqueness of non-negative global solutions for the nonlinear heat equation , , in the whole space $\mathbb{R…

math.AP2022★ 16 cited

Two stability results for the Kawahara equation with a time-delayed boundary control

Roberto de A. Capistrano-Filho, Boumediène Chentouf, Luan S. de Sousa +1

In this paper, we consider the Kawahara equation in a bounded interval and with a delay term in one of the boundary conditions. Using two different approaches, we prove that this s…

math.AP2022★ 2 cited

Massera's theorems for a higher order dispersive system

Roberto de A. Capistrano-Filho, Isadora Maria de Jesus

This work is devoted to present Massera-type theorems for the Kawahara system, a higher order dispersive equation, posed in a bounded domain. Precisely, thanks to some properties o…