José M. Arrieta

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math.AP2023

Bifurcation and hyperbolicity for a nonlocal quasilinear parabolic problem

José M. Arrieta, Alexandre N. Carvalho, Estefani M. Moreira +1

In this article, we study a one-dimensional nonlocal quasilinear problem of the form $u_{t} = a (∥ u_{x} ∥^{2}) u_{xx} + ν f (u)$ , with Dirichlet boundary conditions on the interval $[0,π…

math.AP2012

Stability estimates in $H_{0}^{1}$ for solutions of elliptic equations in varying domains

José M. Arrieta, Gerassimos Barbatis

We consider second-order uniformly elliptic operators subject to Dirichlet boundary conditions. Such operators are considered on a bounded domain $Ω$ and on the domain $ϕ (Ω)$ resul…

Bifurcation and hyperbolicity for a nonlocal quasilinear parabolic problem

Stability estimates in H01​ for solutions of elliptic equations in varying domains

Stability estimates in $H_{0}^{1}$ for solutions of elliptic equations in varying domains