Preprints
- A trace inequality for solenoidal charges (with Bogdan Raiţă and Dmitry Stolyarov). Potential Analysis (2022), 1-12. DOI.
- The fractional variation and the precise representative of BVα,p functions (with Giovanni E. Comi and Giorgio Stefani) Fract. Calc. Appl. Anal. 25, 520-558 (2022). DOI.
- Endpoint L1 estimates for Hodge systems (with Felipe Hernandez and Bogdan Raiţă). Math. Ann. (2022). DOI.
- Taylor's Theorem for Functionals on BMO with Application to BMO Local Minimizers (with Scott J. Spector), Commun. Contemp. Math. 23 (2021), no. 7, Paper No. 2050072, 19 pp. DOI.
- On the dimensional weak-type (1,1) bound for Riesz transforms (with Cody B. Stockdale), Quart. Appl. Math. 79 (2021), no. 3, 409–417. DOI.
- On Korn-Maxwell-Sobolev Inequalities (with Franz Gmeineder), J. Math. Anal. Appl. 502 (2021), no. 1, 125226, DOI.
- BMO and Elasticity: Korn's Inequality; Local Uniqueness in Tension (with Scott J. Spector), J. Elasticity 143 (2021), no. 1, 85-109, DOI.
- An improvement to the John-Nirenberg inequality for functions in critical Sobolev spaces (with Ángel D. Martínez), Adv. Nonlinear Anal. 10 (2021), no. 1, 877–894, DOI.
- Some remarks on L1 embeddings in the subelliptic setting (with Steven G. Krantz and Marco Peloso), Nonlinear Anal. 202 (2021), 112149, DOI.
- An Optimal Sobolev Embedding for L1. J. Funct. Anal. 279 (2020), no. 3, 108559, 26 pp, DOI.
- A boxing inequality for the fractional perimeter (with Augusto C. Ponce). Ann. Sc. Norm. Super. Pisa Cl. Sci. 20 (2020), no. 1, 107–141, DOI.
- A decomposition by non-negative functions in the Sobolev space Wk,1 (with Augusto C. Ponce). Indiana Univ. Math. J. 69 (2020), no. 1, 151–169, DOI.
- New directions in harmonic analysis on L1. Nonlinear Anal. 192 (2020), 111685, 20 pp., DOI.
- A noninequality for the fractional gradient. Port. Math 76 (2019), no. 2, 153–168,DOI.
- A note on estimates for elliptic systems with L1 data (with Bogdan Raiţă). C. R. Math. Acad. Sci. Paris 357 (2019), no. 11-12, 851–857, DOI.
- Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo's lemma (with Jean Van Schaftingen). Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 30 (2019), 413–436, DOI.
- Uniqueness of Equilibrium with Sufficiently Small Strains in Finite Elasticity (with Scott J. Spector). Arch. Ration. Mech. Anal. 233 (2019), 409–449, DOI.
- Best constants for two families of higher order critical Sobolev embeddings (with Itai Shafrir). Nonlinear Anal. 177 (2018), 753–769, DOI.
- On a new class of fractional partial differential equations II (with Tien-Tsan Shieh). Adv. Calc. Var. 11 (2018), no. 3, 289–307, DOI.
- Some remarks on boundary operators of Bessel extensions (with Jesse Goodman). Discrete Contin. Dyn. Syst. Ser. S 11 (2018), no. 3, 493–509, DOI.
- Regularity for a fractional p-Laplace equation (with Armin Schikorra and Tien-Tsan Shieh). Commun. Contemp. Math. 20 (2018), no. 1, 1750003, DOI.
- A remark on an integral characterization of the dual of BV (with Nicola Fusco). J. Math. Anal. Appl. 457 (2018), no. 2, 1370–1375, DOI.
- A note on the fractional perimeter and interpolation (with Augusto C. Ponce). C. R. Math. Acad. Sci. Paris 355 (2017), no. 9, 960–965, DOI.
- An L1-type estimate for Riesz potentials (with Armin Schikorra and Jean Van Schaftingen). Rev. Mat. Iberoam. 33 (2017), no. 1, 291–303, DOI.
- On formulae decoupling the total variation of BV functions (with Augusto C. Ponce). Nonlinear Anal. 154 (2017), 241–257, DOI.
- On a generalization of Lp-differentiability Calc. Var. Partial Differential Equations 55 (2016), no. 3, Art. 62, 21 pp, DOI.
- On the role of Riesz potentials in Poisson's equation and Sobolev embeddings (with Rahul Garg). Indiana Univ. Math. J. 64 (2015), no. 6, 1697–1719, DOI.
- Lp theory for fractional gradient PDE with VMO coefficients (with Armin Schikorra and Tien Tsan Shieh). Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 26 (2015), no. 4, 433–443, DOI.
- Analysis and Application of a Nonlocal Hessian (with Jan Lellmann; Konstantinos Papafitsoros; Carola-Bibiane Schönlieb). SIAM J. Imaging Sci. 8 (2015), no. 4, 2161–2202, DOI.
- On a new class of fractional partial differential equations (with Tien-Tsan Shieh). Adv. Calc. Var. 8 (2015), no. 4, 321–336, DOI.
- On the regularity of solutions to Poisson's equation (with Rahul Garg). C. R. Math. Acad. Sci. Paris 353 (2015), no. 9, 819–823, DOI.
- A Leray-Trudinger inequality (with Georgios Psaradakis). J. Funct. Anal. 269 (2015), no. 1, 215–228, DOI.
- Lp-Taylor approximations characterize the Sobolev space W1,p. C. R. Math. Acad. Sci. Paris 353 (2015), no. 4, 327–332, DOI.
- Localization of nonlocal gradients in various topologies (with Tadele Mengesha). Calc. Var. Partial Differential Equations 52 (2015), no. 1-2, 253–279, DOI.
- On a new class of fractional partial differential equations (with Tien-Tsan. Shieh), Adv. Cale. Var. 8 (2015), no. 4, 321-336.
- Corrigendum to "Characterization of Sobolev and BV spaces'' [J. Funct. Anal. 261 (10) (2011) 2926–2958]. (with Giovanni Leoni). J. Funct. Anal. 266 (2014), no. 2, 1106–1114, DOI.
- Characterization of Sobolev and BV spaces (with Giovanni Leoni). J. Funct. Anal. 261 (2011), no. 10, 2926–2958, DOI.
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Simple proofs of some results of Reshetnyak Proc.
Amer. Math. Soc. 139 (2011), no. 5, 1681–1690, DOI.