Research

Research


Papers

  1. V.Martino, G.Tralli
    Overdetermined problems for gauge balls in the Heisenberg group
    submitted


  2. A.Maalaoui, V.Martino, T.Xu
    Singular Solutions for the Conformal Dirac-Einstein Problem on the Sphere
    submitted


  3. A.Maalaoui, V.Martino
    Q'-curvature flow on Pseudo-Einstein CR manifolds
    to appear in Annali di Matematica Pura ed Applicata


  4. C.Guidi, A.Maalaoui, V.Martino
    Singular CR structures of constant Webster curvature and applications
    Mathematische Nachrichten, 2024, 297, 3, 943-961


  5. C.Guidi, V.Martino, G.Tralli
    A characterization of gauge balls in Hn by horizontal curvature
    to appear in Advances in Calculus of Variations


  6. W.Borrelli, A.Maalaoui, V.Martino
    Conformal Dirac-Einstein equations on manifolds with boundary
    Calculus of Variations and Partial Differential Equations, 2023, 1, 62:18


  7. V.Martino, A.Montanari
    Integral formulas for a class of curvature PDE's and applications to isoperimetric inequalities and to symmetry problems. Corrigendum
    Forum Mathematicum, 2023, 35, 5, 1469-1470


  8. V.Martino
    Some results on the Dirac-Einstein equations
    Bruno Pini Mathematical Analysis Seminar, 2023


  9. A.Maalaoui, V.Martino
    Compactness of Dirac-Einstein spin manifolds and horizontal deformations
    The Journal of Geometric Analysis, 2022, 32, 7, 201


  10. V.Martino, G.Tralli
    On the Minkowski formula for hypersurfaces in complex space forms
    International Mathematics Research Notices, 2022, 2, 1270-1296


  11. C.Guidi, A.Maalaoui, V.Martino
    Existence results for the conformal Dirac-Einstein system
    Advanced Nonlinear Studies 2021, 21, 1, 107-117


  12. C.Guidi, V.Martino
    Horizontal Newton operators and high-order Minkowski formula
    Communications in Contemporary Mathematics, 23, 02, 2050004, 2021


  13. C.Guidi, V.Martino
    Horizontal curvatures and classification results
    Annales Academiae Scientiarum Fennicae Mathematica, 45, 2020, 829–840


  14. A.Maalaoui, V.Martino
    Characterization of the Palais-Smale sequences for the conformal Dirac-Einstein problem and applications
    Journal of Differential Equations, 266, 5, 2019, 2493-2541


  15. C.Guidi, A.Maalaoui, V.Martino
    Palais-Smale sequences for the fractional CR Yamabe functional and multiplicity results
    Calculus of Variations and Partial Differential Equations, 2018, 6, 57:152


  16. V.Martino
    Some integral formulas for the characteristic curvature
    Complex Variables and Elliptic Equations 63, 3, 2018, 360-367


  17. V.Martino, G.Tralli
    A Jellett type theorem for the Levi curvature
    Journal de Mathématiques Pures et Appliquées 108, 2017, 869-884


  18. A.Maalaoui, V.Martino
    Contact type hypersurfaces and Legendre duality
    Houston Journal of Mathematics 43, 4, 2017, 1087-1098


  19. V.Martino, G.Tralli
    On the Hopf-Oleinik lemma for degenerate-elliptic equations at characteristic points
    Calculus of Variations and Partial Differential Equations, 2016, 5, 55:115


  20. A.Maalaoui, V.Martino
    Homological approach to problems with jumping non-linearity
    Nonlinear Analysis, 144, 2016, 165-181


  21. C.Guidi, V.Martino, A.Montanari
    Nonsmooth viscosity solutions of elementary symmetric functions of the complex Hessian
    Journal of Differential Equations, 260, 3, 2016, 2690-2703


  22. A.Maalaoui, V.Martino
    The Rabinowitz-Floer homology for a class of semilinear problems and applications
    Journal of Functional Analysis, 269, 2015, 4006-4037


  23. A.Maalaoui, V.Martino, G.Tralli
    Complex group actions on the sphere and sign changing solutions for the CR-Yamabe equation
    Journal of Mathematical Analysis and Applications, 431, 2015, 126-13


  24. V.Martino, A.Montanari
    Nonsmooth solutions for a class of fully nonlinear PDE's on Lie groups
    Nonlinear Analysis, 126, 2015, 115-130


  25. V.Martino
    Group actions on the sphere and multiplicity results for the CR-Yamabe equation
    Bruno Pini Mathematical Analysis Seminar, 2015


  26. A.Maalaoui, V.Martino
    Homology computation for a class of contact structures on T3
    Calculus of Variations and Partial Differential Equations, 50, 2014, 599-614


  27. V.Martino, G.Tralli
    High-order Levi curvatures and classification results
    Annals of Global Analysis and Geometry, 2014, 46 351-359


  28. V.Martino
    Legendre duality on hypersurfaces in Kähler manifolds
    Advances in Geometry, 14, 2014, 277-286


  29. A.Maalaoui, V.Martino
    The topology of a subspace of the Legendrian curves on a closed contact 3-manifold
    Advanced Nonlinear Studies, 14, 2014, 393-426


  30. V.Martino
    A Smale type result and application to contact homology
    Bruno Pini Mathematical Analysis Seminar, 2014


  31. V.Martino, A.Montanari
    Lipschitz continuous viscosity solutions for a class of fully nonlinear equations on Lie groups
    Journal of Geometric Analysis, 24, 2014, 169-189


  32. A.Maalaoui, V.Martino, A.Pistoia
    Concentrating Solutions for a Sub-Critical Sub-Elliptic Problem
    Differential and Integral Equations, Volume 26, Numbers 11-12, 2013, 1263-1274


  33. V.Martino
    Existence result for the CR-Yamabe equation
    Bruno Pini Mathematical Analysis Seminar, 2013


  34. A.Maalaoui, V.Martino
    Multiplicity result for a nonhomogeneous Yamabe type equation involving the Kohn Laplacian
    Journal of Mathematical Analysis and Applications, 399, 2013, 333-339


  35. A.Maalaoui, V.Martino
    A symmetry result on submanifolds of space forms and applications
    Mediterranean Journal of Mathematics, No. 1, Vol. 10, 2013, 507-517


  36. A.Maalaoui, V.Martino
    Existence and Concentration of Positive Solutions for a Super-critical Fourth Order Equation
    Nonlinear Analysis 75, 2012, 5482-5498


  37. A.Maalaoui, V.Martino
    Changing sign solutions for the CR-Yamabe equation
    Differential and Integral Equations, Volume 25, Numbers 7-8, 2012 , 601-609


  38. V.Martino
    On the characteristic curvature operator
    Communications on Pure and Applied Analysis, 11, 5, 2012, 1911-1922


  39. A.Maalaoui, V.Martino
    Existence and Multiplicity Results for a non-Homogeneous Fourth Order Equation
    Topological Methods in Nonlinear Analysis, Vol. 40, No. 2, 2012, 273-300


  40. V.Martino
    A symmetry result on Reinhardt domains
    Differential and Integral Equations, Volume 24, Numbers 5-6, 2011, 495-504


  41. V.Martino
    A Legendre transform on an exotic S3
    Advanced Nonlinear Studies, 11, 2011, 145-156


  42. V.Martino, A.Montanari
    On the characteristic direction of real hypersurfaces in CN+1 and a symmetry result
    Advances in Geometry, Vol. 10/3, 2010, 371 - 377


  43. V.Martino
    Una Trasformata di Legendre su un modello non standard
    Bruno Pini Mathematical Analysis Seminar, 2010


  44. V.Martino, A.Montanari
    Integral formulas for a class of curvature PDE's and applications to isoperimetric inequalities and to symmetry problems
    Forum Mathematicum, vol. 22, 2010, 255-267


  45. V.Martino
    A property of the characteristic direction function for real hypersurfaces in CN+1
    Analysis Seminar University of Bologna, 155-165, Tecnoprint, 2008


  46. V.Martino, A.Montanari
    Local Lipschitz continuity of graphs with prescribed Levi mean curvature
    NoDEA, Nonlinear Differential Equations and Applications, 14, 2007, 377-390


  47. V.Martino
    Lipschitz viscosity solution of the trace equation of the Levi form in CN+1
    Analysis Seminar University of Bologna, 169-181, Tecnoprint, 2007


  48. V.Martino, A.Montanari
    Graphs with prescribed the trace of the Levi Form
    Annali dell'Universita' di Ferrara, 52, 2006, 371-382














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