Research Interests
Analysis of Partial Differential Equations, Calculus of Variations, Nonlinear Functional Analysis
BioSketch
Research
Calderon-Zygmund theory of nonlocal parabolic equations with discontinuous coefficients
2026
Byun S.-S., Kim K., and Kumar D. | Scuola Norm. Sup.
Journal: Ann. Sc. Norm. Super. Pisa Cl. Sci. Pages: 40 ,
Global Calder´on-Zygmund theory for fractional Laplacian type equations
2025
Byun S.-S., Kim K., and Kumar D. | Elsevier
Journal: J. Differ. Equ. Pages: 66 , Volumes: 436 ,
Regularity results for a class of nonlocal double phase problems with VMO coefficients
2025
Byun S.-S., Kim K., and Kumar D. | Univ. Autònoma Barcelona
Journal: Publicacions Matem´atiques Pages: 48 , Volumes: 63 ,
Global gradient estimates for the mixed local and nonlocal problems with measurable nonlinearities
2024
Byun S.-S., Kumar D. and Lee H.-S. | Springer
Journal: Calc. Var. Partial Differential Equations Pages: 48 , Volumes: 63 ,
Gradient estimates for mixed local and nonlocal parabolic problems with measure data
2024
Byun S.-S., Kim K., and Kumar D. | Elsevier
Journal: J. Math. Anal. Appl. Pages: 30 , Volumes: 538 ,
On periodic and compactly supported least energy solutions to semilinear elliptic equations with non-Lipschitz nonlinearity
2024
Giacomoni J., Il’yasov Y. and Kumar D. | Sage
Journal: Asymptot. Anal. Pages: 25 , Volumes: 137 ,
Holder regularity results for parabolic nonlocal double phase problems
2024
Giacomoni J., Kumar D., and Sreenadh K. | Khayyam
Journal: Adv. Differential Equations Pages: 899-950 , Volumes: 29 ,
Interior and boundary regularity results for strongly nonhomogeneous p, q-fractional problems
2023
Giacomoni J., Kumar D., and Sreenadh K. | De Gruyter
Journal: Adv. Calc. Var. Pages: 467-501 , Volumes: 16 ,
Global regularity results for nonhomogeneous growth fractional problems
2022
Giacomoni J., Kumar D., and Sreenadh K. | Springer
Journal: J. Geom. Anal. Pages: 36 , Volumes: 32 ,
Unbalanced fractional elliptic problems with exponential nonlinearity: Subcritical and critical cases
2022
Kumar, D., Radulescu, V. D., and Sreenadh, K. | Juliusz Schauder Cent.
Journal: Topol. Methods Nonlinear Anal. Pages: 277-302 , Volumes: 59 ,
A note on the global regularity results for strongly nonhomogeneous p, q-fractional problems and applications
2022
Giacomoni J., Kumar D., and Sreenadh K. | Acad. Sci., Inst. France
Journal: Comptes Rendus. Math´ematique Pages: 809-817 , Volumes: 360 ,
A qualitative study of (p, q) singular parabolic equations: Local existence, Sobolev regularity and asymptotic behavior
2021
Giacomoni J., Kumar D., and Sreenadh K. | De Gruyter
Journal: Adv. Nonlinear Stud. Pages: 199-227 , Volumes: 21 ,
Sobolev and H¨older regularity results for some singular nonhomogeneous quasilinear problems
2021
Giacomoni J., Kumar D., and Sreenadh K. | Springer
Journal: Calc. Var. Partial Differential Equations Pages: 33 , Volumes: 60 ,
Unbalanced (p, 2)-fractional problems with critical growth
2021
Kumar D., and Sreenadh K. | Elsevier
Journal: J. Math. Anal. Appl. Pages: 26 , Volumes: 501 ,
Singular elliptic problems with unbalanced growth and critical exponent
2020
Kumar, D., Radulescu, V. D., and Sreenadh, K. | Inst. Phys. London Math. Soc.
Journal: Nonlinearity Pages: 3336-3369 , Volumes: 33 ,
Regularity and multiplicity results for fractional (p, q)-Laplacian equations
2020
Goel, D., Kumar, D., and Sreenadh, K. | World Sci. Publ.
Journal: Commun. Contemp. Math. Pages: 37 , Volumes: 22 ,
