Accepted and Published Papers
1. S. Nardulli, The isoperimetric
profile of a smooth Riemannian manifold for small volumes.
Ann. Glob.
Anal. Geom. Volume 36, Number 2 / September, 2009: 111-131.
2. R. Grimaldi, S.
Nardulli, P. Pansu, Semianalyticity of isoperimetric profiles.
Differ. Geom. Appl. 27, No. 3, 393-398 (2009).
3. R. Grimaldi, S. Nardulli, P. Pansu, Differentiability properties of the isoperimetric
profile and topology of analytic Riemannian manifolds.
C. R., Math.,
Acad. Sci. Paris 347, No. 5-6, 293-297 (2009).
4. S. Nardulli, The isoperimetric profile of a non-compact Riemannian manifold for small volumes.
Calc. Var. Part. Diff. Eq., v. 49, p. 173-195, 2014.
5. S. Nardulli, Generalized Existence Results For The Isoperimetric Problem in Riemannian Manifolds.
SUPPLEMENTO AL BOLLETTINO DI MATEMATICA PURA E APPLICATA. Convegno
Internazionale di Geometria in Onore del 60° Compleanno della Prof.ssa Renata Grimaldi (Palermo, 15-16 Giugno 2010)
6. S. Nardulli, Generalized existence of isoperimetric regions in non-compact Riemannian manifolds and applications to the isoperimetric profile.
The Asian Journal of Mathematics, v. 18, p. 1-28, 2014.
7. F. Russo, S. Nardulli, Two bounds on the noncommuting graph. Open Mathematics, v. 13, n. 1, 2015.
8. A. Mondino, S. Nardulli, Existence of isoperimetric regions in non-compact Riemannian manifolds under Ricci or scalar curvature conditions.
Comm. Anal. Geom. , v. 24, p. 115-138, 2016.
9. A. Muñoz Flores, S. Nardulli, Local Hölder continuity of the isoperimetric profile in
complete noncompact Riemannian manifolds with bounded geometry.
Geom. Ded. Volume 201, Issue 1, pp 1-12, 2019
10. S. Nardulli, P. Pansu, A discontinuous isoperimetric profile for a complete Riemannian manifold. Accepted 2016.
Ann. Sc. Norm. Sup. Pisa PP. 537-549 | Vol. XVIII, issue 2, 2018.
11. S. Nardulli, Regularity Property of Solutions of the Isoperimetric Problem Close to Smooth Manifolds. ArXiv,
Bull. Braz. Math. Soc., New Series
June 2018, Volume 49, Issue 2, pp 199-260.
12. A. E. Muñoz Flores, S. Nardulli,
The isoperimetric problem in a $C^0$ asymptotically Schwartzchild manifold with a finite number of ends.
Comm. in Anal. and Geom., Vol. 28, Number 7, Pages: 1577-1601, 2020.
13. S. Nardulli, Luis Eduardo Osorio Acevedo, Sharp isoperimetric inequalities for small volumes in complete noncompact Riemannian manifolds of bounded geometry involving the scalar curvature.
I.M.R.N. Volume 2020, Issue 15, August 2020, Pages 4667-4720.
14. V. Benci, S. Nardulli, P. Piccione, Multiple solutions for the Van der Waals-Allen-Cahn-Hilliard equation with a volume constraint.
Calc. Var. and PDE's, 59, Article number: 64 (2020).
15. A. E. Muñoz Flores, S. Nardulli,
Generalized compactness for finite perimeter sets and applications to the isoperimetric problem.
Journal of Dynamical and Control Systems, 2020.
16. S. Nardulli, F. Russo, On the Hamilton's isoperimetric ratio in complete Riemannian manifolds of finite volume.
Journal of Functional Analysis, Volume 280, Issue 4, 2021.
17. V. Benci, S. Nardulli, L. E. Osorio Acevedo, P. Piccione, Lusternik-Schnirelman and Morse theory for the Van Der Waals-Cahn-Hilliard equation with volume constraint.
Accepted in Nonlinear Analysis, 2022
18. C. De Lellis, S. Nardulli, S. Steinbruechel,
Uniqueness of boundary tangent cones for 2-dimensional area-minimizing currents.
Accepted in Nonlinear Analysis, 2022
19. G. Antonelli, S. Nardulli, M. Pozzetta, The isoperimetric problem via direct method in noncompact metric measure spaces with lower Ricci bounds.
Accepted in COCV, 2022
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