| On a new class of fractional partial differential equations TT Shieh, DE Spector Advances in Calculus of Variations 8 (4), 321-336, 2015 | 132 | 2015 |
| Characterization of Sobolev and BV spaces G Leoni, D Spector Journal of Functional Analysis 261 (10), 2926-2958, 2011 | 101 | 2011 |
| On a new class of fractional partial differential equations II TT Shieh, DE Spector Advances in Calculus of Variations 11 (3), 289-307, 2018 | 83 | 2018 |
| Localization of nonlocal gradients in various topologies T Mengesha, D Spector Calc. of Var. and PDE 49 (3-4), 2014 | 74 | 2014 |
| An -type estimate for Riesz potentials A Schikorra, D Spector, J Van Schaftingen Revista Matemática Iberoamericana 33 (1), 291-303, 2017 | 62 | 2017 |
| Simple proofs of some results of Reshetnyak D Spector Proceedings of the American Mathematical Society, 1681-1690, 2011 | 52 | 2011 |
| Corrigendum to “Characterization of Sobolev and BV spaces”[J. Funct. Anal. 261 (10)(2011) 2926–2958] G Leoni, D Spector Journal of Functional Analysis 266 (2), 1106-1114, 2014 | 38 | 2014 |
| A boxing inequality for the fractional perimeter AC Ponce, D Spector arXiv preprint arXiv:1703.06195, 2017 | 33 | 2017 |
| Regularity for a fractional -Laplace equation A Schikorra, TT Shieh, DE Spector Communications in Contemporary Mathematics 20 (01), 1750003, 2018 | 31 | 2018 |
| On formulae decoupling the total variation of BV functions AC Ponce, D Spector Nonlinear Analysis: Theory, Methods & Applications 154, 241-257, 2017 | 31 | 2017 |
| An optimal Sobolev embedding for L1 D Spector Journal of Functional Analysis 279 (3), 108559, 2020 | 30 | 2020 |
| Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo's lemma D Spector, J Van Schaftingen arXiv preprint arXiv:1811.02691, 2018 | 28 | 2018 |
| A noninequality for the fractional gradient D Spector Portugaliae Mathematica 76 (2), 153-168, 2020 | 25 | 2020 |
| Analysis and application of a nonlocal Hessian J Lellmann, K Papafitsoros, C Schönlieb, D Spector SIAM Journal on Imaging Sciences 8 (4), 2161-2202, 2015 | 25 | 2015 |
| $ L^ p $ theory for fractional gradient PDE with $ VMO $ coefficients A Schikorra, TT Shieh, D Spector Rendiconti Lincei 26 (4), 433-443, 2015 | 23 | 2015 |
| On Korn-Maxwell-Sobolev inequalities F Gmeineder, D Spector Journal of Mathematical Analysis and Applications 502 (1), 125226, 2021 | 20 | 2021 |
| An improvement to the John-Nirenberg inequality for functions in critical Sobolev spaces ÁD Martínez, D Spector Advances in Nonlinear Analysis 10 (1), 877-894, 2020 | 20 | 2020 |
| On functions of bounded β-dimensional mean oscillation YW Chen, D Spector Advances in Calculus of Variations 17 (3), 975-996, 2024 | 18 | 2024 |
| Fractional integration and optimal estimates for elliptic systems F Hernandez, D Spector Calculus of Variations and Partial Differential Equations 63 (5), 1-29, 2024 | 18* | 2024 |
| New directions in harmonic analysis on L1 D Spector Nonlinear Analysis 192, 111685, 2020 | 18 | 2020 |
Giovanni LeoniProfessor of Mathematics, Carnegie Mellon UniversityVerified email at andrew.cmu.edu
