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Damião J. Araújo
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Year
Geometric gradient estimates for solutions to degenerate elliptic equations
DJ Araújo, G Ricarte, EV Teixeira
Calculus of Variations and Partial Differential Equations 53, 605-625, 2015
562015
A proof of the Cp′-regularity conjecture in the plane
DJ Araújo, EV Teixeira, JM Urbano
Advances in Mathematics 316, 541-553, 2017
532017
Towards the -Regularity Conjecture in Higher Dimensions
DJ Araújo, EV Teixeira, JM Urbano
International Mathematics Research Notices 2018 (20), 6481-6495, 2018
322018
Singularly perturbed equations of degenerate type
DJ Araújo, GC Ricarte, EV Teixeira
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 34 (3), 655-678, 2017
262017
Infinity Laplacian equation with strong absorptions
DJ Araújo, R Leitão, EV Teixeira
Journal of Functional Analysis 270 (6), 2249-2267, 2016
252016
Geometric approach to nonvariational singular elliptic equations
D Araújo, EV Teixeira
Archive for Rational Mechanics and Analysis 209 (3), 1019-1054, 2013
232013
Sharp regularity for the inhomogeneous porous medium equation
DJ Araújo, AF Maia, JM Urbano
arXiv preprint arXiv:2006.03894, 2020
182020
Optimal estimates for a class of elliptic quasilinear equations
D Araujo, L Zhang
Com. in Contemporary Mathematics, to appear. https://doi.org/10.1142 …, 2015
122015
Sharp boundary and global regularity for degenerate fully nonlinear elliptic equations
DJ Araújo, B Sirakov
Journal de Mathématiques Pures et Appliquées 169, 138-154, 2023
112023
Detecting the completeness of a Finsler manifold via potential theory for its infinity Laplacian
DJ Araújo, L Mari, LF Pessoa
Journal of Differential Equations 281, 550-587, 2021
72021
On free boundary problems shaped by oscillatory singularities
D Araújo, A Sobral, EV Teixeira, JM Urbano
arXiv preprint arXiv:2401.08071, 2024
32024
Sharp regularity for singular obstacle problems
DJ Araújo, R Teymurazyan, V Voskanyan
Mathematische Annalen 387 (3), 1367-1401, 2023
32023
Infinity Laplacian equations with singular absorptions
DJ Araújo, GS Sá
Calculus of Variations and Partial Differential Equations 61 (4), 132, 2022
32022
Fully nonlinear dead-core systems
DJ Araújo, R Teymurazyan
arXiv preprint arXiv:2008.07955, 2020
32020
On fractional quasilinear equations with elliptic degeneracy
DJ Araújo, D Prazeres, E Topp
arXiv preprint arXiv:2306.15452, 2023
22023
Higher regularity estimates for the porous medium equation near the heat equation.
DJ Araújo
Revista Mathematica Iberoamericana 37 (5), 2021
22021
On a two-phase free boundary problem ruled by the infinity Laplacian
DJ Araújo, EV Teixeira, JM Urbano
Israel Journal of Mathematics, 1-13, 2021
22021
Sharp regularity for a singular fully nonlinear parabolic free boundary problem
DJ Araújo, GS Sá, JM Urbano
Journal of Differential Equations 389, 90-113, 2024
12024
Oscillatory free boundary problems in stochastic materials
DJ Araújo, GS Sá, EV Teixeira, JM Urbano
arXiv preprint arXiv:2404.03060, 2024
12024
Hausdorff measure estimates for the degenerate quenching problem
DJ Araújo, R Teymurazyan, JM Urbano
arXiv preprint arXiv:2402.11536, 2024
12024
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Articles 1–20