Luis J. Al'ias

activity

20242026

collaborators

3 papers

math.MG2026

On isoperimetric local-BollobÃ¡s-Thomason inequalities

Luis J. AlÃas, Bernardo GonzÃ¡lez Merino, Beatriz MarÃn Gimeno

We prove the following isoperimetric-type inequality: for every convex body $K$ in $R^{n}$ and some $I ¨ \subset [n] := {1, \dots, n}$ there exists a suitable Hanner polytope $B_K…

math.MG2025

On local Liakopoulos-Meyer type inequalities and their functional counterparts

Luis J. AlÃas, Bernardo GonzÃ¡lez Merino, Beatriz MarÃn Gimeno

We provide a functional Rogers-Shephard type inequality for log-concave functions on $R^{n}$ and any $1$ -reducible $s$ -cover of $[n]$ . As a consequence, we derive a sharp loc…

math.AP2024

Maximum principles for weakly $1$ -coercive operators with applications to capillary and prescribed mean curvature graphs

Luis J. AlÃas, Giulio Colombo, Marco Rigoli

In this paper we establish maximum principles for weakly 1-coercive operators $L$ on complete, non-compact Riemannian manifolds $M$ . In particular, we search for conditions under w…

On isoperimetric local-BollobÃ¡s-Thomason inequalities

On local Liakopoulos-Meyer type inequalities and their functional counterparts

Maximum principles for weakly 1-coercive operators with applications to capillary and prescribed mean curvature graphs

Maximum principles for weakly $1$ -coercive operators with applications to capillary and prescribed mean curvature graphs