PRECUP Radu – Scientific researcher I

Corresponding member of the Romanian Academy

Fields of interest/specialization: Nonlinear analysis; differential equations; partial differential equations; mathematical modelling.

Important results:

  1. Homotopy and continuation results of Leray-Schauder and Granas type with applications to nonlinear boundary value problems.
  2. Contributions to the vector approach of systems of equations.
  3. Development of the critical point theory in conical shells and applications to existence, localization and multiplicity of positive solutions.
  4. Discovering the role of Harnack type inequalities for the application of Krasnoselskii’s technique for the localization of solutions.
  5. Contributions to the modelling and analysis of some biological processes.

Curriculum Vitae: Precup_CV

Google Scholar: https://scholar.google.ro/citations?user=qQ–ITQAAAAJ&hl=ro

Representative works:

  • Precup, Methods in Nonlinear Integral Equations, Kluwer Academic Publishers, Dordrecht-Boston-London, 2002, 218 pp; Springer reprint of the original 1st ed. 2011.
  • R. Precup, A variational analogue of Krasnoselskii’s cone fixed point theory, in Nonlinear Analysis and Boundary Value Problems, Eds. I. Area, A. Cabada, J. Á. Cid et al, Springer Proceedings in Mathematics & Statistics 292, Springer, 2019, pp 1-18.
  • R. Precup, Critical point theorems in cones and multiple positive solutions of elliptic problems, Nonlinear Anal. 75 (2012) 834-851.
  • R. Precup, Nash-type equilibria and periodic solutions to nonvariational systems, Adv. Nonlinear Anal. 3 (2014) 197-207.
  • R. Precup, Componentwise localization of critical points for functionals defined on product spaces, Topol. Methods Nonlinear Anal. 58 (2021) 51-77.