4 papers
A lower bound for the void coalescence load in nonlinearly elastic solids
Victor Cañulef-Aguilar, Duvan Henao
The problem of the sudden growth and coalescence of voids in elastic media is considered. The Dirichlet energy is minimized among incompressible and invertible Sobolev deformations…
Hölder estimates for the Neumann problem in a domain with holes and a relation formula between the Dirichlet and Neumann problems
Victor Cañulef-Aguilar, Duvan Henao
In this paper we study the dependence of the Hölder estimates on the geometry of a domain with holes for the Neumann problem. For this, we study the Hölder regularity of the soluti…
Energy estimates and cavity interaction for a critical-exponent cavitation model
Duvan Henao, Sylvia Serfaty
We consider the minimization of $\int_{Ω_{\ep}} |D\vec u|^p \dd\vec x$ in a perforated domain $Ω_{\ep}:= Ω\setminus \bigcup_{i=1}^M B_{\ep}(\vec a_i)$ of , among maps $\vec u…
On the Uniqueness of Positive Solutions of a Quasilinear Equation Containing a Weighted p-Laplacian, the Superlinear Case
Marta Garcia-Huidobro, Duvan Henao
We consider the problem of uniqueness of positive solutions to boundary value problems containing the equation: -Δ_p u =K(|x|)f(u), p>1. f is positive, is locally Lipschitz and sat…