F. Murat

most citedHomogenization of a Dirichlet semilinear elliptic problem with a strong singularity at

u = 0

in a domain with many small holes

13 citations · 13 across the 1 of their papers we have counts for

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math.AP2024

Unexpected phenomena in a one dimensional elliptic equation with a singular first order divergence term

Daniela Giachetti, Pedro J. Martínez-Aparicio, François Murat +1

We study existence of a weak solution for one-dimensional problems as \begin{equation}\label{intro}\tag{1} \begin{cases} \displaystyle -\frac{d}{dx}\left(a(x) \frac{d u}{dx}\right)…

math.AP2017★ 13 cited

Homogenization of a Dirichlet semilinear elliptic problem with a strong singularity at $u = 0$ in a domain with many small holes

Daniela Giachetti, Pedro J. Martínez-Aparicio, François Murat

We perform the homogenization of the semilinear elliptic problem \begin{equation*} \begin{cases} u^\varepsilon \geq 0 & \mbox{in} \; Ω^\varepsilon,\\ \displaystyle - div \,A(x) D u…

Unexpected phenomena in a one dimensional elliptic equation with a singular first order divergence term

Homogenization of a Dirichlet semilinear elliptic problem with a strong singularity at u=0 in a domain with many small holes

Homogenization of a Dirichlet semilinear elliptic problem with a strong singularity at $u = 0$ in a domain with many small holes