Publications:


Published Journal articles

( in reverse chronological order )

  1. BMO estimates for Hodge-Maxwell systems with discontinuous anisotropic coefficients. Nonlinear. Anal. 2025, 260, 113852. - with Dharmendra Kumar.

  2. Topology and approximation of weak $G$-bundles in the supercritical dimensions. Adv. Math. 2025, 470, 110229.

  3. Morrey-Lorentz estimates for Hodge-type systems. Discrete Contin. Dyn. Syst. 2025, 45(1): 334-360 - with Banhirup Sengupta.

  4. Topology of weak $G$-bundles via Coulomb gauges in critical dimensions . Comm. Anal. Geom. 32(3):791–835, 2024.

  5. Limiting absorption principle and well-posedness for the time-harmonic Maxwell equations with anisotropic sign-changing coefficients. Comm. Math. Phys. 379, 145–176 (2020) - with Hoài-Minh Nguyên.

  6. Nonlinear Stein theorem for differential forms. Calc. Var. Partial Differential Equations. 58 (4): Paper No. 154, 2019.

  7. Calculus of variations: a differential form approach . Adv. Calc. Var. 12(1):57–84, 2019.

  8. On the best constant in Gaffney inequality. J. Funct. Anal., 274(2):461–503, 2018. - with Gyula Csato and Bernard Dacorogna.

  9. Regularity for elliptic systems of differential forms and applications. Calc. Var. Partial Differential Equations, 56(6):56:172, 2017.

  10. Notions of affinity in calculus of variations with differential forms. Adv. Calc. Var., 9(3):293–304, 2016. - with Saugata Bandyopadhyay.

  11. Exterior convexity and classical calculus of variations. ESAIM Control Optim. Calc. Var., 22(2):338–354, 2016. - with Saugata Bandyopadhyay.

  12. Calculus of variations with differential forms. J. Eur. Math. Soc. (JEMS), 17(4):1009–1039, 2015. - with Saugata Bandyopadhyay and Bernard Dacorogna.


Accepted Journal articles (unpublished)

  • Hodge Decomposition and Potentials in Variable Exponent Lebesgue and Sobolev Spaces. - with Anna Balci and Mikhail Surnachev -- Accepted in Izvestiya:Mathematics.

Preprints

  • Excess decay for quasilinear equations in the Heisenberg group and consequences. - with Arka Mallick.
  • Continuity estimates for variable growth variational problems in the Heisenberg group. - with Arka Mallick.
  • Weighted estimates for Hodge-Maxwell systems. - with Rohit Mahato.


PhD Thesis

My PhD thesis can be downloaded for free. Click here > Calculus of Variations for Differential Forms.


Finding my work on the web: