C. Conca

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20132021

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math.AP2021

The maximization of the p-Laplacian energy for a two-phase material

Juan Casado-Díaz, Carlos Conca, Donato Vásquez-Varas

We consider the optimal arrangement of two diffusion materials in a bounded open set $Ω \subset R^{N}$ in order to maximize the energy. The diffusion problem is modeled by th…

math.AP2018

Uniform $W^{1, p}$ estimate for elliptic operator with Robin boundary condition in $C^{1}$ domain

Cherif Amrouche, Carlos Conca, Amrita Ghosh +1

We consider the Robin boundary value problem $div (A \nabla u) = div f + F$ in $Ω$ , $C^{1}$ domain, with $(A \nabla u - \mathbf{f})\cdot \mathbf{n}…

math.AP2018

Stokes and Navier-Stokes equations with Navier boundary condition

Paul Acevedo, Cherif Amrouche, Carlos Conca +1

We study the stationary Stokes and Navier-Stokes equations with non-homogeneous Navier boundary condition in a bounded domain $Ω \subset R^{3}$ of class $C^{1, 1}$ .…

The maximization of the p-Laplacian energy for a two-phase material

Uniform W1,p estimate for elliptic operator with Robin boundary condition in C1 domain

Stokes and Navier-Stokes equations with Navier boundary condition

Uniform $W^{1, p}$ estimate for elliptic operator with Robin boundary condition in $C^{1}$ domain