3 papers
math.AP2026
The Fractional Korn Inequality on Uniform Domains and New Korn Inequalities for Truncated Seminorms
Gabriel Acosta, Irene Drelichman, Ricardo Durán +2
We prove the so-called second case of the fractional Korn inequality for uniform domains. We obtain this result as an application of a novel fractional Korn-type inequality formula…
math.CA2025
Weighted graphs in the sense of John and a global Poincaré inequality
Fernando López-García, John Rodriguez
In this paper, we establish a condition on weighted graphs with finite measure that guarantees the validity of a global Poincaré inequality. This condition can be viewed as a discr…
math.AP2024
Poincaré and Sobolev inequalities with variable exponents and log-Holder continuity only at the boundary
David Cruz-Uribe, Fernando López-García, Ignacio Ojea
We prove Sobolev-Poincaré and Poincaré inequalities in variable Lebesgue spaces , with a bounded John domain, with weaker regularity assump…