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Daniel Faraco

A New Approach to Counterexamples to L1 Estimates: Korn?s Inequality, Geometric Rigidity, and Regularity for Gradients of Separately Convex Functions
2004 · Sergio Conti, Daniel Faraco, et al. · Archive for Rational Mechanics and Analysis · 117
Lack of uniqueness for weak solutions of the incompressible porous media equation
2011 · Diego Cordoba, Daniel Faraco, et al. · 74
Stability of Calderón inverse conductivity problem in the plane
2007 · Tomeu Barceló, Daniel Faraco, et al. · Journal de Mathématiques Pures et Appliquées · 57
Mixing solutions for the Muskat problem
2021 · A. Castro, D. Córdoba, et al. · Inventiones mathematicae · 56
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Convex integration and the Lp theory of elliptic equations
2009 · Kari Astala, Daniel Faraco, et al. · ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE · 49
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Stability of Calderón's inverse conductivity problem in the plane for discontinuous conductivities
2010 · Albert Clop, Daniel Faraco, et al. · Inverse Problems and Imaging · 48
Tartar’s conjecture and localization of the quasiconvex hull in $ \mathbb{R}^{{2 \times 2}} $
2008 · Daniel Faraco, László Székelyhidi · Acta Mathematica · 48
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Mappings of finite distortion: the degree of regularity
2004 · Daniel Faraco, Pekka Koskela, et al. · Advances in Mathematics · 39
The Sobolev Norm of Characteristic Functions With Applications to the Calderon Inverse Problem
2012 · D. Faraco, K. M. Rogers · The Quarterly Journal of Mathematics · 38
Milton’s conjecture on the regularity of solutions to isotropic equations
2003 · Daniel Faraco · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 35
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Degraded mixing solutions for the Muskat problem
2019 · Á. Castro, D. Faraco, et al. · Calculus of Variations and Partial Differential Equations · 33
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Beltrami equations with coefficient in the Sobolev space $W^{1,p}$
2009 · A. Clop, D. Faraco, et al. · Publicacions Matemàtiques · 31
Magnetic helicity, weak solutions and relaxation of ideal MHD
2023 · Daniel Faraco, Sauli Lindberg, et al. · Communications on Pure and Applied Mathematics · 23
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Quasiregular mappings and Young measures
2002 · Kari Astala, Daniel Faraco · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 23
Geometric rigidity of conformal matrices
2009 · Daniel Faraco, Xiao Zhong · ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE · 21
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Localized Mixing Zone for Muskat Bubbles and Turned Interfaces
2022 · Á. Castro, D. Faraco, et al. · Annals of PDE · 20
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Rank-one convex functions on 2×2 symmetric matrices and laminates on rank-three lines
2005 · S. Conti, D. Faraco, et al. · Calculus of Variations and Partial Differential Equations · 20
Unstable Vortices, Sharp Non-Uniqueness with Forcing, and Global Smooth Solutions for the SQG Equation
2026 · Ángel Castro, Daniel Faraco, et al. · Archive for Rational Mechanics and Analysis · 18
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A proof of Vishik’s nonuniqueness theorem for the forced 2D Euler equation
2025 · Ángel Castro, Daniel Faraco, et al. · Journal für die reine und angewandte Mathematik (Crelles Journal) · 18
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G-convergence, Dirichlet to Neumann maps and invisibility
2014 · Daniel Faraco, Yaroslav Kurylev, et al. · Journal of Functional Analysis · 18
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Rigorous results on conserved and dissipated quantities in ideal MHD turbulence
2022 · Daniel Faraco, Sauli Lindberg, et al. · Geophysical & Astrophysical Fluid Dynamics · 16
Tartar conjecture and Beltrami operators
2004 · Daniel Faraco · The Michigan Mathematical Journal · 16
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The local Burkholder functional, quasiconvexity and Geometric Function Theory
2023 · Astala, Kari, Faraco, Daniel, et al. · arXiv (Cornell University) · 15
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Magnetic helicity and subsolutions in ideal MHD
2018 · Faraco, Daniel, Lindberg, Sauli · arXiv (Cornell University) · 15
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Quasiconvex Functions and Hessian Equations
2003 · Daniel Faraco, Xiao Zhong · Archive for Rational Mechanics and Analysis · 15
Works count: 57
Citation count: 1,037
H-index: 18
I10-index: 32
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