Publications:
Books:
- Pintea C., Geometry. Elements of Analytic Geometry. Elements of Differentiable Geometry of Curves and Surfaces, (in Romanian), Cluj University Press, Romania, 2001.
- Andrica, D., Pintea, C. Elements of Homotopy Theory with Applications to Critical Points Theory, (in Romanian), Mirton Publishing House, Timişoara, Romania, 2002.
- Pintea, C., Geometry. Differential Geometry, Riemannian Geometry, Lie groups and Lie Algebras, (in Romanian) Cluj University Press, Romania, 2006.
- Pintea, C., Szöllősi, I., An Introduction to Linear Algebra, Cluj University Press, Romania, 2014.
Selected papers:
- Continuous mappings with an infinite number of topologically critical points. Ann. Polon. Math. 67 (1997), no. 1, 87-93.
- A measure of non-immersability of the Grassmann manifolds in some Euclidean spaces, Proc. of the Edinburgh Math. Soc., (41) 1998, 197-206.
- Differentiable mappings with an infinite number of critical points, Proc.Amer. Math. Soc., Vol. 128, no. 11, 2000, 3435-3444.
- Closed sets which are not CS∞-critical, Proc. Amer. Math. Soc. 133 (2005), no. 3, 923-930.
- A measure of the deviation from there being fibrations between a pair of compact manifolds, Differential Geom. Appl. 24 (2006), no. 6, 579-587.
- Examples of smooth maps with finitely many critical points in dimensions (4,3), (8,5) and (16,9). With L. Funar and P. Zhang. Proc. Amer. Math. Soc. 138 (2010), no. 1, 355-365.
- Isomorphic homotopy groups of certain regular sets and their images. With G. Cicortaş and L. Ţopan. Topology Appl. 157 (2010), no. 3, 635-642.
- The size of some critical sets by means of dimension and algebraic φ-category, Topol. Methods Nonlinear Anal. 35 (2010), no. 2, 395-407.
- On preimages of a class of generalized monotone operators. With G. Kassay. Nonlinear Anal. 73 (2010), no. 11, 3537-3545.
- Brinkman-type operators on Riemannian manifolds: transmission problems in Lipschitz and C1-domains. With M. Kohr and W. L. Wendland. Potential Anal. 32 (2010), no. 3, 229-273.
- Smooth mappings with higher dimensional critical sets, Canad. Math. Bull. 53 (2010), no. 3, 542-549.
- Size of tangencies to non-involutive distributions. With Z. Balogh and H. Rohner. Indiana Univ. Math. J. 60 (2011), no. 6, 2061-2092.
- Monotone operators and first category sets. With G. Kassay and S. László. Positivity 16 (2012), no. 3, 565–577.
- Global injectivity conditions for planar maps. Monatsh. Math. 172 (2013), no. 3-4, 399-413.
- The circular Morse-Smale characteristic of closed surfaces. With D. Andrica and D. Mangra. Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 57(105) (2014), no. 3, 235-242.
- A class of generalized monotone operators. With D. Marian and I.R. Peter. J. Math. Anal. Appl. 421 (2015), no. 2, 1827-1843.
- Operations with monotone operators and the monotonicity of the resulting operators. With D. Marian and I.R. Peter. Monaths. Math. 181(2016), no. 1, 143-168
- Necessary conditions for finite critical sets. Maps with infinite critical sets. With I.R. Peter. Topol. Methods Nonlinear Anal., Vol. 47, No. 2, 2016, 739-749.
- Closed convex sets of Minkowski type. With Juan Enrique Martinez-Legaz. J. Math. Anal. Appl. 444 (2016), no. 2, 1195-1202.
- The monotonicity of perturbed gradients of convex functions. With T. Trif. J. Convex Anal. 24(2017), no. 2, 525-545.
- Manifolds which admit maps with finitely many critical points into spheres of small dimensions, With Louis Funar, Michigan Math. J., 67 (2018), 585-615.
- A nonlinear elliptic eigenvalue-transmission problem with Neumann boundary condition. With L. Barbu and Gh. Morosanu, Annali di Matematica Pura ed Applicata (1923-), 198(2019), Issue 3, 821-836.
- Convex decompositions of convex open sets with polytopes or finite sets removed, J. Convex Anal. 26(2019), no. 2.
- Closed convex sets with an open or closed Gauss range, With Juan Enrique Martinez-Legaz, Mathematical Programming, 2020.
Research Projects:
- Geometric Analysis, Research Training Network, a project of the European Commission (2000 - 2004) (member of the team 13, Coordinator - N.Teleman)
- Critical points and the Lusternik-Schnirelmann category. Variational Problems (2007-2008), CNCSIS (Coordinator)
- The equilibrium problem and its applications (2007-2010) CNCSIS (member, Coordinator G. Kassay)
- The study of the sets and applications through their fundamental properties, 2015, UBB (Individual Project)
- The structure and sensitivity of the solution sets of variational inequalities, optimization and equilibrium problems under generalized monotonicity, 2011- 2016 UEFISCDI (member, Coordinator - G. Kassay)
- Boundary value problems for elliptic systems on non-smooth domains with applications in fluid mechanics, 2011- 2016 UEFISCDI (member, Coordinator-M. Kohr)
- Equilibrium and optimization problems: theoretical and computational approaches, 2017-present UEFISCDI (member, Coordinator-G. Kassay)