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math.AP2020
On the symmetric lamination convex and quasiconvex hull for the coplanar n-well problem in two dimensions
Antonio Capella, Lauro Morales
We study some particular cases of the -well problem in two-dimensional linear elasticity. Assuming that every well in belon…
math.AP2010★ 2 cited
Regularity of radial extremal solutions for some non local semilinear equations
Antonio Capella, Juan Dávila, Louis Dupaigne +1
We investigate stable solutions of elliptic equations of the type \begin{equation*} \left \{ \begin{aligned} (-Δ)^s u&=λf(u) \qquad {\mbox{ in }} \\ u&= 0 \qqua…
math.AP2007★ 3 cited
Regularity of radial minimizers of reaction equations involving the p-Laplacian
Xavier Cabre, Antonio Capella, Manel Sanchon
We consider semi-stable, radially symmetric, and decreasing solutions of a reaction equation involving the p-Laplacian, where the reaction term is a locally Lipschitz function, and…