Pubblicazioni e Preprints

La lista aggiornata su arxiv e su Mathscinet

  1. Mouhamed M. Fall, Marco G. Ghimenti, Anna Maria Micheletti, Angela Pistoia Generic properties of eigenvalues of the fractional Laplacian, Calculus of Variations and Partial Differential Equations 62, Article number: 233 (2023) (arxiv)
  2. Marco G. Ghimenti, Anna Maria Micheletti Yamabe boundary problem with scalar-flat manifolds target, Electronic Journal of Differential Equations , Special Issue 02 (2023), pp. 125–133
  3. Marco G. Ghimenti, Min Liu, Zhongwei Tang Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains, Nonlinear Differ. Equ. Appl. 30 (2023), Paper No. 28, 27 pp.
  4. Marco G. Ghimenti, Anna Maria Micheletti Compactness and blow up results for doubly perturbed Yamabe problems on manifolds with umbilic boundary, Nonlinear Analysis 229 (2023), Paper No. 113206, 28 pp. (arxiv)
  5. Marco G. Ghimenti, Anna Maria Micheletti Blowing-up solutions for supercritical Yamabe problems on manifolds with non-umbilic boundary, Comm. Cont. Math. 24 (2022), Paper No. 2150035, 23 pp. (arxiv)
  6. Pietro d'Avenia, Marco G. Ghimenti, Multiple solutions and profile description for a nonlinear Schroedinger-Bopp-Podolsky-Proca system on a manifold, Calc. Var. Partial Differential Equations 61 (2022), Paper No. 223, 30 pp. (arxiv)
  7. Marco G. Ghimenti, Anna Maria Micheletti Blowing-up solutions for supercritical Yamabe problems on manifolds with umbilic boundary, J. Differential Equations 309 (2022), 265–290 (arxiv)
  8. Marco G. Ghimenti, Anna Maria Micheletti A compactness result for scalar-flat metrics on low dimensional manifolds with umbilic boundary, Calc. Var. Partial Differential Equations 60 (2021), Paper No. 119, 24 pp. (arxiv)
  9. Marco Ghimenti, Anna Maria Micheletti Compactness results for linearly perturbed Yamabe problem on manifolds with boundary, Discrete and Continuous Dynamical Systems Series S 14 (2021), 1757–1778 (arxiv)
  10. Simone Dovetta, Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia Peaked and low action solutions of NLS equations on graphs with terminal edges, SIAM J. An. Math. 52 (2020), 2874–2894 (arxiv)
  11. Marco Ghimenti, Anna Maria Micheletti, Compactness for conformal scalar-flat metrics on umbilic boundary manifolds, Nonlinear Anal. 200 (2020), 30p (arxiv)
  12. Marco Ghimenti, Dayana Pagliardini Multiple positive solutions for a slightly subcritical Choquard problem on bounded domains , J. Differential Equations 267 (2019) 587–618 (arxiv)
  13. Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia Blow-up phenomena for linearly perturbed Yamabe problem on manifolds with umbilic boundary, Calc. Var. 58 (2019) Art. 167, 21p (arxiv)
  14. Monica Clapp, Marco Ghimenti, Anna Maria Micheletti Boundary layers to a singularly perturbed Klein-Gordon-Maxwell-Proca system on a compact Riemannian manifold with boundary, Adv. Nonlinear Anal. 8 (2019) 559–582 (open)
  15. Jacopo Bellazzini, Marco Ghimenti, Carlo Mercuri, Vitaly Moroz, Jean Van Schaftingen, Sharp Gagliardo-Nirenberg inequalities in fractional Coulomb-Sobolev spaces, Trans. Amer. Math. Soc. 370 (2018) 8285–8310 (arxiv)
  16. Marco Ghimenti, Anna Maria Micheletti, Positive solutions for double singularly perturbed Schroedinger Maxwell systems, Nonlinear Analysis 174 (2018) 223–241 (arxiv)
  17. Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia, Linear perturbation of the Yamabe problem on manifolds with boundary, J Geom Anal 28 (2018) 1315–1340 (arxiv)
  18. Marco Ghimenti, Vitaly Moroz, Jean Van Schaftingen, Least action nodal solutions for the quadratic Choquard equation,, Proc. Amer. Math. Soc. 145 (2016) 737–747 (arxiv)
  19. Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia, On Yamabe-type problems on Riemannian manifolds with boundary,, Pacific Journal of Mathematics 284 (2016) 79–102 (arxiv)
  20. Marco Ghimenti, Anna Maria Micheletti, Construction of solutions for a nonlinear elliptic problem on Riemannian manifolds with boundary, Adv. Nonlinear Stud. 16 (2016), 459–478 (arxiv)
  21. Marco Ghimenti, Jean Van Schaftingen, Nodal solutions for the Choquard equation,, Journal of Functional Analysis 271 (2016) 107–135 (arxiv)
  22. Jacopo Bellazzini, Marco Ghimenti, Tohru Ozawa, Sharp lower bounds for Coulomb energyMath. Res. Lett. 23 (2016) 621–632 (arxiv)
  23. Marco Ghimenti, Dimitrios Kandilakis, Manolis Magiropoulos, Existence and stability results on a class of Non Linear Schroedinger Equations in bounded domains with Dirichlet boundary conditions,, European Journal of Mathematics 1 (2015) 773–798 (arxiv)
  24. Marco Ghimenti, Anna Maria Micheletti, A multiplicity result for double singularly perturbed elliptic systems, J. Fixed Point Theory Appl. 17 (2015) 123–136 (arxiv)
  25. Marco Ghimenti, Anna Maria Micheletti, Nonlinear Klein-Gordon-Maxwell systems with Neumann boundary conditions on a Riemannian manifold with boundary, Progress in Nonlinear Differential Equations and Their Applications 86 (2015) 299–323 (arxiv)
  26. Marco Ghimenti, Anna Maria Micheletti, Low energy solutions for singularly perturbed coupled nonlinear systems on a Riemannian manifold with boundary, Nonlinear Analysis 119 (2015) 315–329 (arxiv)
  27. Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia, Blow-up solutions concentrating along minimal submanifolds for some supercritical elliptic problems on Riemannian manifolds , J. Fixed Point Theory Appl. 14 (2013) 503–525(arxiv)
  28. Monica Clapp, Marco Ghimenti, Anna Maria Micheletti, Semiclassical states for a static supercritical Klein-Gordon-Maxwell-Proca system on a closed Riemannian manifold, Communications in Contemporary Mathematics 18 , No. 3 (2016), 25 pages (arxiv)
  29. Claudio Bonanno, Pietro d'Avenia, Marco Ghimenti, Marco Squassina, Soliton dynamics for the generalized Choquard equation,  J. Math. Anal. Appl. 417 (2014) 180–199 (arxiv)
  30. Monica Clapp, Marco Ghimenti, Anna Maria Micheletti Solutions to a singularly perturbed supercritical elliptic equation on a Riemannian manifold concentrating at a submanifold,  J. Math. Anal. Appl. 420 (2014) 314–333 (arxiv)
  31. Marco Ghimenti, Anna Maria Micheletti Number and profile of low energy solutions for singularly perturbed Klein-Gordon-Maxwell systems on a Riemannian manifold, J. Differential Equations 256 (2014) 2502-2525 (arxiv)
  32. Jacopo Bellazzini, Marco Ghimenti, Stefan Le Coz, Multi-solitary waves for the nonlinear Klein-Gordon equation, Communications in Partial Differential Equations, 39 (2014) 1479-1522 (arxiv)
  33. Marco Ghimenti, Anna Maria Micheletti, Nondegeneracy of critical points of the mean curvature of the boundary for Riemannian manifolds, J. Fixed Point Theory Appl. 14 (2013) 71–78 (arxiv)
  34. Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia, The role of the scalar curvature in some singularly perturbed coupled elliptic systems on Riemannian manifolds, Discrete and Continuous Dynamical Systems 34 (2014) 2535–2560 (arxiv)
  35. Marco Ghimenti, Anna Maria Micheletti, Low energy solutions for the semiclassical limit of Schroedinger-Maxwell systems, Progress in Nonlinear Differential Equations and Their Applications 85 (2014) 287–300 (arxiv)
  36. C. Bonanno, M. Ghimenti, M. Squassina, Soliton dynamics of NLS with singular potential, Dynamics of PDE 10 (2013) 177--207  (arxiv)
  37. M.G. Ghimenti, S. Le Coz, M. Squassina, On the stability of standing waves of Klein-Gordon equations in a semiclassical regime, DCDS 33 (2013) 2389--2401 (arxiv)
  38. V. Benci, M.G. Ghimenti, A.M. Micheletti, On the Dynamics of solitons in the nonlinear Schroedinger equation, Arch Rat Mech Anal 205 (2012) 467--492 (arxiv).
  39. M.G. Ghimenti, A.M. Micheletti, Non degeneracy for solutions of singularly perturbed nonlinear elliptic problems on symmetric Riemannian manifolds, Communications on Pure and Applied Analysis 12 (2013) 679--693  (arxiv)
  40. M.G. Ghimenti, A.M. Micheletti, Some generic properties of non degeneracy for critical points of functionals and applications, Milan J. Math. 79 (2011), 285--291. (arxiv)
  41. M.G. Ghimenti, A.M. Micheletti, Positive solutions for singularly perturbed nonlinear elliptic problem on manifolds via Morse theory, Complex Variables and Elliptic Equations, 56 (2011), 1115--1127. (arxiv)
  42. V. Benci, M.G. Ghimenti, A.M. Micheletti The Nonlinear Schroedinger Equation: Existence, Stability and Dynamics of Solitons, Progress in variational methods, Nankai Ser. Pure Appl. Math. Theoret. Phys., 7 (2011),World Sci. Publ., Hackensack, NJ,(arxiv)
  43. M.G. Ghimenti, A.M. Micheletti Positive solutions of singularly perturbed nonlinear elliptic problem on Riemannian manifolds with boundary, Topological Methods in Nonlinear Analysis 35 (2010), 319–337. (arxiv)
  44. V. Benci, M.G. Ghimenti, A.M. Micheletti, The nonlinear Schroedinger equation: Soliton dynamics, Journal of Differential Equations 249 (2010), 3312–3341. (arxiv)
  45. V. Benci, S. Galatolo, M.G. Ghimenti, An elementary approach to Stochastic Differential Equations using the infinitesimals, “Ultrafilters across mathematics”, collana “Contemporary Mathematics” 530 (2011), 1-22. (arxiv)
  46. M.G. Ghimenti, A.M. Micheletti, On the number of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds, Electronic Journal of Differential Equations Conf 18 (2010), 15–22. (arxiv)
  47. M.G. Ghimenti, M. Lewin, Properties of the periodic Hartree-Fock minimizer, Calc. Var. and Part. Diff. Eq. 35 (2009), 39–56. (arxiv)
  48. M.G. Ghimenti, C.R. Grisanti, Semiclassical limit for the nonlinear Klein Gordon equation, Advanced Nonlinear Studies 9 (2009), 137–147. (arxiv)
  49. M.G. Ghimenti, A.M. Micheletti, Solutions for a Nonhomogeneous Nonlinear Schroedinger Equation with Double Power Nonlinearity, Differential Integral Equations 20 (2007), 1131–1152. (arxiv)
  50. M.G. Ghimenti, Morse Theory for Geodesics in Conical Manifolds, Mediterranean Journal of Mathematics 4 (2007), 229–244. (arxiv)
  51. J. Bellazzini, V. Benci, M.G. Ghimenti, A.M. Micheletti, On the existence of the Fundamental Eigenvalue of an Elliptic Problem in RN , Advanced Nonlinear Studies 7 (2007), 439–458. (arxiv)
  52. J. Bellazzini, V. Benci, M.G. Ghimenti, Periodic Orbits of a One Dimensional Non Autonomous Hamiltonian System, Journal of Differential Equations, 230 (2006), 275-294. (arxiv)
  53. M.G. Ghimenti, A.M. Micheletti, Existence of Minimal Nodal Solutions for the Nonlinear Schroedinger Equations with V (∞) = 0, Advances in Differential Equations, 11 (2006) 1375-1396. (arxiv)
  54. M.G. Ghimenti, Geodesics in Conical Manifolds, Topological Methods in Nonlinear Analysis, 25 (2005), 235-261 (arxiv)
  55. M.G. Ghimenti, Geodesics in Conical Manifolds, PhD Thesis, (2004)
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