Faculty Portrait

Contact Information

Name: András Domokos

Title: Professor

Office Location: Brighton Hall 229

Email: domokos@csus.edu

Office Phone: 916.278.6570

Mailing Address: CSUS, Dept. of Math. and Stat., 6000 J Street, Sacramento, CA, 95819

Office Hours: Tuesday, Thursday 8:30-9:00am, 10:30-11:30am

Courses That I Teach

Fall 2023

  • Math 45 - Sections 8 and 9
  • Math 130B - Section 3
  • Math 230A, Section 1

Selected Publications

  • Boundary convergence properties of L^p-averages, (with J. J. Manfredi, D. Ricciotti and B. Stroffolini), Journal of Mathematical Sciences, vol. 269(6) 2023, 778-791.
  • The Planck boundary within the hyperspace of the circle of pseudo-arcs (with Janusz Prajs), Acta Math. Hungar. 169(2) 2023, 447-468.
  •  Convergence of natural p-means for the p-Laplacian in the Heisenberg group (with J. J. Manfredi, D. Ricciotti and B. Stroffolini), Nonlinear Analysis 223 (2022), 113058.
  • Riemannian approximation in Carnot groups, (with J.J Manfredi and D. Ricciotti), Proceedings of the Royal Society of Edinburgh, DOI:10.1017/prm.2021.50
  • The Cartan exponential map in semi-simple Lie groups, https://arxiv.org/abs/2001.09527
  • Regularity for PDE's in Carnot groups via Riemannian approximation (with J. J. Manfredi), Bruno Pini Mathematical Seminar 11, No 1 (2020), 119-142.
  • Hilbert-Haar coordinates and Miranda's theorem in Lie groups (with J.J. Manfredi), Bruno Pini Mathematical Seminar 11, No 1 (2020), 94-118.
  • C^{1,alpha}-subelliptic regularity on SU(3) and compact, semi-simple Lie groups (with J.J. Manfredi), Analysis and Mathematical Physics 10 (1), 2020.
  • A fixed point theorem for conical shells (with M. Marsh), Journal of Fixed Point Theory and Applications (2018), 20:64.
  • Length spectra for sub-Riemannian metrics on compact Lie groups (with M. Krauel, V. Pigno, C. Shanbrom and M. VanValkenburgh), Pacific Journal of Mathematics, 296(2), (2018), 321-340.
  • Projections onto cones in Banach spaces (with M. Marsh), Fixed Point Theory, 19(1) (2018), 167-178.
  • Projections onto closed conves sets in Hilbert spaces (with M. Marsh and J. Ingram), Acta Mathematica Hungarica, 152(1) (2017), 114-129.
  • Subelliptic Peter-Weyl and Plancherel theorems on compact, connected, semisimple Lie groups, Nonlinear Analysis 126 (2015), 131-142.
  • Subelliptic estimates on compact semisimple Lie groups (with R. Esquerra, B. Jaffa and T. Schulte), Nonlinear Analysis 74 (2011), 4642-4652.
  • Regularity results for p-harmonic functions in higher order Grushin planes (with J.J. Manfredi), Ann. Mat. Pura Appl. 189(4) (2010), 1-16.
  • Nonlinear subelliptic equations (with J.J. Manfredi), Manuscripta Mathematica 130 (2009), 251-271.
  • On the regularity of subelliptic p-harmonic functions in Carnot groups, Nonlinear Analysis, 69 (2008), 1744-1756.
  • On the best constant for the Friedrichs-Knapp-Stein inequality in free nilpotent Lie groups of step two and applications to subelliptic PDE (with M.S. Fanciullo), Journal of Geometric Analysis, 17 (2007), 245-252.
  • Subelliptic Cordes estimates in the Grushin plane (with G. Di Fazio, M.S. Fanciullo and J.J. Manfredi), Manuscripta Mathematica, 120(2006), 419-433.
  • W^{2,2}-estimates for solutions to non-uniformly elliptic PDE's with measurable coefficients, Journal of Inequalities in Pure and Applied Mathematics, 6(3) (2005), Article 69.
  • Cordes subelliptic estimates (with J.J. Manfredi), Proc. Amer. Math. Soc. 133 (2005), 1047-1056.
  • C^{1,alpha}-regularity for p-harmonic functions in the Heisenberg group for p near 2 (with J.J. Manfredi), Contemporary Mathematics, 370 (2005), 17-23.
  • Differentiability of solutions for the non-degenerate p-Laplacian in the Heisenberg group, Journal of Differential Equations, 204 (2004), 439-470.
  • Remarks on some equivalent conditions for nearness, Fixed Point Theory, 4(2003), 213-221.
  • Variational inequalities with operator solutions (with J. Kolumbán), Journal of Global Optimization, 23 (2002), 99-110.
  • Nearness, accretivity and solvability of nonlinear equations, (with A. Buica), Numerical Functional Analysis and Optimization, 23 (2002), 477-493.
  • Implicit function theorems for m-accretive and locally accretive set-valued mappings, Nonlinear Analysis 41 (2000), 221-241.
  • Solution sensitivity of variational inequalities, Journal of Mathematical Analysis and Applications, 230 (1999), 382-389.
  • The continuity of the metric projection of a fixed point onto moving closed convex sets in uniformly convex Banach spaces, Studia Univ. Babes-Bolyai, 43(1998), 4, 25-30.
  • Parametric monotone generalized equations in Reflexive Banach space, Mathematica Pannonica, 8(1997), 129-136.
  • Equivalence between implicit function theorems, Studia Univ. Babes-Bolyai, 41(1996), 4, 41-46.
  • Minimax theorems, Annales Univ. Sci. Budapest, 37 (1994), 157-163.