Leobardo Rosales

collaborators

4 papers

math.AP2018

A Hopf-type boundary point lemma for pairs of solutions to quasilinear equations

Leobardo Rosales

We show a Hopf boundary point lemma for $u = u_{1} - u_{2},$ given $u_{1}, u_{2} \in C^{1, α}$ each weak solutions to a quasilinear equation $\sum_{i=1}^{n} D_{i}(A^{i}(x,u,Du))+B(x,u,Du…

math.AP2018

Generalizing Hopf's boundary point lemma

Leobardo Rosales

We give a Hopf boundary point lemma for weak solutions of linear divergence form uniformly elliptic equations, with H $o ¨$ lder continuous top-order coefficients and low…

math.DG2018

Co-dimension one area-minimizing currents with $C^{1, α}$ tangentially immersed boundary having Lipschitz co-oriented mean curvature

Leobardo Rosales

We study $n$ -dimensional area-minimizing currents $T$ in $R^{n + 1},$ with boundary $\partial T$ satisfying two properties: $\partial T$ is locally a finite sum of $(n - 1)$ -d…

math.DG2016

Co-Dimension One Area-Minimizing Currents with $C^{1, α}$ Tangentially Immersed Boundary

Leobardo Rosales

We introduce and study co-dimension one area-minimizing locally rectifiable currents $T$ with $C^{1, α}$ tangentially immersed boundary: $\partial T$ is locally a finite sum of orie…

A Hopf-type boundary point lemma for pairs of solutions to quasilinear equations

Generalizing Hopf's boundary point lemma

Co-dimension one area-minimizing currents with C1,α tangentially immersed boundary having Lipschitz co-oriented mean curvature

Co-Dimension One Area-Minimizing Currents with C1,α Tangentially Immersed Boundary

Co-dimension one area-minimizing currents with $C^{1, α}$ tangentially immersed boundary having Lipschitz co-oriented mean curvature

Co-Dimension One Area-Minimizing Currents with $C^{1, α}$ Tangentially Immersed Boundary