Oscar Domínguez

activity

20182026

most citedSobolev embeddings, extrapolations, and related inequalities

6 citations · 9 across the 6 of their papers we have counts for

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2 papers · 1 filter

math.FA2026

Quantitative $Γ$ -Convergence: A Variational Extrapolation Framework

Oscar Dominguez, Mario Milman

This paper introduces a new extrapolation framework within the Calculus of Variations. We develop a robust quantitative theory of the $Γ$ -convergence approach of De Giorgi by combi…

math.AP2026

Blow-up at finite time for the generalized SQG equations in the Sobolev well-posedness regime

Diego Córdoba, Óscar Domínguez, José Lucas-Manchón +1

We prove finite-time singularity formation for the forced generalized surface quasi-geostrophic equation in the singular velocity regime $γ \in (0, 1)$ , where $γ = 0$ corresponds to SQG…

Quantitative Γ-Convergence: A Variational Extrapolation Framework

Blow-up at finite time for the generalized SQG equations in the Sobolev well-posedness regime

Quantitative $Γ$ -Convergence: A Variational Extrapolation Framework