Research

Research interests

  • Variational Methods
  • Nonlinear partial differential equations
  • Mathematical Analysis
  • Analysis on metric measure spaces
Vibrant sunset over the ocean with silhouettes of breakwaters and a lighthouse in the foreground.
Sunrise, Shiretoko.

Scientific Publications

(AUTHORS ORDERED ALPHABETICALLY)

Preprints

  1. “Boundary regularity for quasiminima of double-phase problems on metric spaces“. A. Nastasi, C. Pacchiano Camacho. (2025). [arXiv].
  2. “On the Lavrentiev gap for manifold-valued maps”. C.A. Antonini, F. De Filippis, C. Pacchiano Camacho. (2026). [arXiv].
  3. “Local Boundedness of Local Minimizers for a Class of Nonlinear Elliptic Systems with General Growth”. E. Mascolo, A. Nastasi, C. Pacchiano Camacho (2026). [arXiv].

Published Papers

  1. “Vectorial Double Phase Obstacle Problems”. F. De Filippis, A. Nastasi, C. Pacchiano Camacho. (15 August 2026), Volume 472, Journal of Differential Equations, [DOI] [arXiv].
  2. “Unified a-priori estimates for minimizers under p, q−growth and exponential growth”, P. Marcellini, A. Nastasi, C. Pacchiano Camacho. (Oct. 2025). Nonlinear Anal. [DOI]. [arXiv].
  3. “Regularity results for quasiminima of a class of double phase problems“. A. Nastasi, C. Pacchiano Camacho. (July 2024). Math. Ann. [DOI]. [arXiv].
  4. “Gradient higher integrability for double phase problems on metric measure spaces”. J. Kinnunen, A. Nastasi, C. Pacchiano Camacho. Proc. Amer. Math. Soc. Published electronically: January 18, 2024. Volume 152, Number 3, March 2024, Pages 1233–1251. [DOI]. [arXiv].
  5. “Higher integrability for quasiminimizers of a (p,q)-Dirichlet integral”, A. Nastasi, C. Pacchiano Camacho, (January 2023). Journal of Differential Equations, Volume 342, 5 January 2023, Pages 121-149. [DOI]. [arXiv].
  6. “Variational solutions to the total variation flow on metric measure spaces”, V. Buffa, J. Kinnunen, C. Pacchiano Camacho. (July 2022), Nonlinear Analysis; Volume 220, 112859; [DOI]. [arXiv].
  7. “Existence of parabolic minimizers to the total variation flow on metric measure spaces”, V. Buffa, M. Collins, C. Pacchiano Camacho, (January 2022). manuscripta mathematica; [DOI]. [arXiv].
  8. “Regularity properties for quasiminimizers of a (p,q)-Dirichlet integral”, A. Nastasi, C. Pacchiano Camacho. (December 2021). Calculus of Variations and Partial Differential Equations; 60 (6); [DOI]. [arXiv].

In preparation

  1. “The Monge-Ampere equation and metric measure spaces”. T. Balehowsky, C. Pacchiano Camacho, C. Rios
  2. “Generalization of Ladyzhenskaya and Urall’tseva conditions to metric measure spaces”., C. Pacchiano Camacho

Theses