RESEARCH

 



Papers



M.F. Elbert, B. Nelli: On the structure of hypersurfaces in HnxR with finite strong total curvature,
Bullettin of the London Mathematical Society (2018)
 https://arxiv.org/pdf/1802.03059.pdf

J. M. Manzano, B. Nelli: Height and area estimates for constant mean curvature surfaces in       E(k,t)-spaces,
Jour. of Geometric Analysis 27, 4 (2017)

http://arxiv./abs/1504.05239

B. Nelli, R. Sa Earp, E. Toubiana: Minimal Surfaces in Nil3: existence and non existence results,
Calc. Variations Partial  Differential  Equations 56, 2 (2017)
  http://arxiv.org/abs/1508.01724



B. Nelli, J. A. Galvez: Entire solution of the degenerate Monge-Ampere equation with a finite number of singularities,
 Journal of Differential Equations 216, 11 (2016)
  http://arxiv.org/abs/1601.01474


M.F. Elbert, B. Nelli, W. Santos: Hypersurfaces with Hr=0 in HnxR

Manuscripta Mathematica 149, 3 (2016)
  http://arxiv.org/abs/1503.07489



S. Ilias, B. Nelli, M. Soret: On the entropy of hypersurfaces with bounded curvature

Mathematische Annalen 364 3-4  (2016) 

http://arxiv.org/abs/1308.0628


B. Nelli, R. Sa Earp, E Toubiana: Maximum principle in a half-space for minimal hypersurfaces in HnxR

Annali della Scuola Normale Superiore di Pisa  XIV, 2 (2015)

http://arxiv.org/abs/1211.2439


L. Hauswirth, B. Nelli, R. Sa Earp, E Toubiana: Minimal ends in H2xR  with finite total

curvature and a Schoen type theorem

Advances in Mathematics 274 (2015)

http://arxiv.org/abs/1111.0851


S. Ilias, B. Nelli, M. Soret: Caccioppoli's inequalities for cmc-hypersurfaces in  Riemannian Manifolds

Ann. of Global Analysis and Geom.  42, 4  (2012)

lhttp://arxiv.org/abs/1107.3653


M.F. Elbert, B. Nelli, R. Sa Earp:  Vertical Ends of CMC surfaces in H2xR

Trans. Amer. Math. Soc. 364 (2012)

offprints-tams.pdf


  1. B.Nelli, R. Sa Earp: A halfspace theorem for mean curvature H=1/2 surfaces in H2xR 

  2. J.of Math. Anal. and App. 365 (2010)

earp-nelli-2010.pdf


  1. B.Nelli:  On properties of constant mean curvature surfaces in H2xR

Seminari di geometria  2005-2008, Bologna (2009)

nelli-2009.pdf


  1. B.Nelli: A Survey on Alexandrov-Bernstein-Hopf Theorems

Matematica Contemporanea, vol. 35 (2008)

nelli-2008.pdf


B. Nelli, R. Sa Earp, W. Santos, E. Toubiana: Uniqueness of H-surfaces in H2xR, |H|<1/2, with boundary one or two parallel horizontal circles

Ann. of Global Anal. and Geom. 33 (4) (2008)

lhttp://arxiv.org/abs/math/0703054


B. Nelli, H. Rosenberg:  Errata Minimal Surfaces in H2xR [Bull. Braz. Math. Soc., New Series 33(2002), 263-292]

Bull. Braz. Math. Soc. New Series 38 (4) (2007)

nelli-rosenberg-errata.pdf


M.F. Elbert, B. Nelli, H. Rosenberg: Stable Constant  Mean Curvature Hypercurfaces  

Proc. of the American Math. Soc. 135, 10 (2007)

elbert-nelli-rosenberg.pdf



B. Nelli, M. Soret: Stably  Embedded Minimal Hypersurfaces

Math. Zeit. 255 (2007)

nelli-soret-2007.pdf


  1. B.Nelli, H. Rosenberg: Simply Connected Constant Mean Curvature Surfaces in H2xR

Michigan Journal of Mathematics  54, 3 (2006)

nelli-rosenberg-michigan.pdf


  1. B.Nelli, H. Rosenberg: Global Properties of Constant Mean Curvature Surfaces in H2xR

Pacific Journ. Math.  226, 1 (2006)

nelli-rosenberg-pacific.pdf



  1. B.Nelli, M. Soret: The State of  the Art of Bernstein's Problem,

Matematica Contemporanea vol. 29 (2005)

nelli-soret-2005.pdf



  1. B.Nelli, H. Rosenberg: Minimal Surfaces in H2xR

Bull. Bras. Math. Soc.  (33) 2, (2002)  special issue for $50th$ of IMPA

nelli-rosenberg-2002.pdf


  1. B.Nelli, B. Semmler:  On Hypersurfaces embedded in  Euclidean Space with Positive Constant

H_r Curvature

Indiana Univ. Math. Jour.  50, (2), (2001)

nelli-semmler-2001.pdf


  1. B.Nelli:  On  the structure of Scalar Curvature Type  Graphs  

It. Jour. of Pure and App. Math.  (2001)

nelli-2001.pdf


B. Nelli, B. Semmler: Some Remarks on

H-Surfaces in a halfspace of Hn

Jour. of Geom.  64 (1999)

nelli-semmler-1999.pdf



B. Nelli:  An  Example of an Immersed Complete

Genus One Minimal Surface in R3 with Two Convex Ends

Comm. Mat. Helv.   73 (3)  (1998)

nelli-1998.pdf


M.E. Galvao, C. Goes, B. Nelli:  A  Weierstrass Type Representation for Surfaces in Hyperbolic Space  with Mean Curvature One

An. Acad. Bra. Ci.  70  (1)  (1998)

galvao-goes-nelli.pdf


Nelli, H. Rosenberg: Some Remarks on Positive  Scalar and Gauss Kronecker  Curvature Hypersurfaces of Rn and Hn

Ann. de l'Inst. Fourier (47) 4  (1997)

nelli-rosenberg-1997.pdf


B. Nelli, J. Spruck: On The Existence and  Uniqueness of Constant Mean Curvature Hypersurfaces in Hyperbolic  Space

Geometric analysis and the calculus of variations, 253--266, Internat. Press, Cambridge (1996).

nelli-spruck.pdf


  1. B.Nelli, R. Sa Earp: Some Properties of surfaces of  prescribed mean curvature  in Hn

Bull.  Soc. Math. de  France 6 (1996)

earp-nelli-1996.pdf



B. Nelli, H. Rosenberg:  Some remarks on embedded hypersurfaces in hyperbolic space

of constant  mean curvature and spherical boundary

Ann. of Glob. Anal. and  Geom.  (13) (1995)

nelli-rosenberg-1995.pdf


  1. B.Nelli:  Polyhedral surfaces in R3 with minimality conditions

Boll. Unione Mat. Italiana  (7) 9-B  (1995)

nelli-1995.pdf






Research interests. Differential Geometry,  Geometric Analysis, Analytical and Geometrical problems related with Constant Mean Curvature Surfaces, Higher  Symmetric Curvature Functions of
Hypersurfaces.