Giovanni MOLICA BISCI

Publications



Books

  • G. Molica Bisci - V. Radulescu - R. Servadei, Variational Methods for Nonlocal Fractional Problems, Encyclopedia of Mathematics and its Applications, 162 Cambride University Press - ISBN: 9781107111943. Foreword by J. Mawhin. (pp. 1-400).

  • G. Molica Bisci - P. Pucci, Nonlinear Problems with Lack of Compactness, to appear in De Gruyter Series in Nonlinear Analysis and Applications, (pp. 1-304).

Chapter in a book

  • G. Molica Bisci, Variational and Topological Methods for Nonlocal Fractional Periodic Equations, Recent developments in the Nonlocal Theory, De Gruyter (2018), ISBN 978-3-11-057156-1 pubblicato on-line https://doi.org/10.1515/9783110571561-012.

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Selected papers

  1. G. Molica Bisci - L. Vilasi, Isometry-invariant solutions to a critical problem on non-compact Riemannian manifolds, J. Differential Equations (in press).

  2. C. Alves - G. Molica Bisci - C. Torres Ledesma, Existence of solutions for a class of fractional elliptic problems on exterior domains, J. Differential Equations (in press).

  3. G. Molica Bisci - D. Repovs, Gradient-type systems on unbounded domains of the Heisenberg group, J. Geom. Anal. (in press).

  4. G. Molica Bisci - V. Radulescu, On the nonlinear Schroedinger equation on the Poincaré ball model, Nonlinear Analysis (in press).

  5. V. Ambrosio - R. Bartolo - G. Molica Bisci, A multiplicity result for a non-local parametric problem with periodic boundary conditions, Arkiv för Matematik (in press).

  6. C. Alves - G. Molica Bisci, A compact embedding result for anisotropic Sobolev spaces associated to a strip-like domain and some applications,  J. Math. Anal. (in press).

  7. G. Molica Bisci - D. Repovs, Some hemivariational inequalities in the Euclidean space, Adv. Nonlinear Anal. 9 (2020), no. 1, 958–977.

  8. V. Ambrosio - G. Molica Bisci, Periodic solutions for a fractional asymptotically linear problem, Proc. Roy. Soc. Edinburgh Sect. A 149 (2019), no. 3, 593–615.

  9. G. Molica Bisci, Kirchhoff-type problems on a geodesic ball of the hyperbolic space, Nonlinear Anal. 186 (2019), 55–73.

  10. G. Molica Bisci - P. Pucci, Multiple sequences of entire solutions for critical polyharmonic equations, Riv. Math. Univ. Parma (N.S.) 10 (2019), no. 1, 117–144.

  11. G. Molica Bisci - P. Pucci, Critical Dirichlet problems on H domains of Carnot groups, Proceedings of the International Conference "Two nonlinear days in Urbino 2017", 179–196, Electron. J. Differ. Equ. Conf., 25, Texas State Univ.–San Marcos, Dept. Math., San Marcos, TX, 2018.

  12. G. Molica Bisci - S. Secchi, Elliptic problems on complete non-compact Riemannian manifolds with asymptotically non-negative Ricci curvature, Nonlinear Anal. 177 (2018), part B, 637–672.

  13. G. Molica Bisci - L. D’Onofrio, Gradient-type systems on unbounded domains of the Heisenberg group, Complex Var. Elliptic Equ. (in press).

  14. G.M. Figueiredo - G. Molica Bisci - R. Servadei, The effect of the domain topology on the number of solutions of fractional Laplace problems, Calc. Var. Partial Differentil Equations 57 (2018), n.4, 57:103 (pp. 1-24) -https://doi.org/10.1007/s00526-018-1382-2.

  15. G. Molica Bisci, A group-theoretical approach for nonlinear Schroedinger equations (pp. 1-21) - Advances in Calculus of Variations, https://doi.org/10.1515/acv-2018-0016.

  16. V. Ambrosio - J. Mawhin - G. Molica Bisci, (Super)critical nonlocal equations with periodic boundary conditions, Selecta Mathematica (pp. 1-29), pubblicato on-line il 13/2/2018 - https://doi.org/10.1007/s00029-018-0398-y.

  17. V. Ambrosio - G.M. Figueiredo - T. Isernia - G. Molica Bisci, On the existence of sign-changing solutions for a class of zero mass fractional Schroedinger equations, Advanced Nonlinear Studies (in press).

  18. G. Molica Bisci - L. Vilasi - D. Repovs, Existence results for some problems on Riemannian manifolds, Communications in Analysis and Geometry (in press).

  19. S. Liang - G. Molica Bisci – B. Zhang, Multiple solutions for a noncooperative Kirchhoff-type system involving the fractional p-Laplacian and critical exponents, Mathematische Nachrichten (in press).

  20. A. Fiscella - G. Molica Bisci - R. Servadei, Multiplicity results for fractional Laplace problems with critical growth, Manuscripta Math. (in press).

  21. V. Ambrosio - L. D’Onofrio - G. Molica Bisci, Perturbation methods for nonlocal Kirchhoff-type problems, Fract. Calc. Appl. Anal. 20, 829-853 (2017).

  22. G. Molica Bisci - D. Repovs - R. Servadei, Nonlinear problems on the Sierpinski gasket, J. Math. Anal. 452, 883-895 (2017).

  23. V. Ambrosio - G. Molica Bisci, Periodic solutions for a fractional asymptotically linear problem, Proc. Edinb. Math. Soc. Sect. A (in press).

  24. J. Mawhin - G. Molica Bisci, A Brezis-Nirenberg type result for a nonlocal fractional operator, J. Lond. Math. Soc. (2), 95, 73-93 (2017).

  25. G. Molica Bisci - D. Repovs, Yamabe-type equations on Carnot groups, Potential Anal. 46, 369-383 (2017).

  26. G. Molica Bisci - D. Mugnai - R. Servadei, On multiple solutions for nonlocal fractional problems via $\nabla$-theorems, Differential Integral Equations 30, 641-666 (2017).

  27. V. Ambrosio - G. Molica Bisci, Periodic solutions for nonlocal fractional equations, Commun. Pure Appl. Anal. 16, n.1, 331-344 (2017).

  28. G. Molica Bisci - L.Vilasi, On a fractional degenerate Kirchhoff-type problem, Commun. Contemp. Math. 19 (2017), n. 1, 1550088, 23 pp.

  29. R. Bartolo - G. Molica Bisci, Asymptotically linear fractional p-Laplacian equations, Ann. Mat. Pura Appl. 196, 427-442 (2017).

  30. G. Molica Bisci - V. Radulescu, A sharp eigenvalue theorem for fractional elliptic equations, Israel Journal of Math. 219, 331-351 (2017).

  31. G. Molica Bisci - D. Repovs - R. Servadei, Nontrivial solutions of superlinear nonlocal problems, Forum Math. 28, 1095-1110 (2016).

  32. X. Mingqi - G. Molica Bisci - G. Tian - B. Zhang, Infinitely many solutions for the stationary Kirchhoff problems involving the fractional p-Laplacian, Nonlinearity 29, 357-374 (2016).

  33. A. Fiscella - G. Molica Bisci - R. Servadei, Bifurcation and multiplicity results for critical nonlocal fractional problems, Bull. Sci. Math 140, 14-35 (2016).

  34. G. Molica Bisci - M. Ferrara, Subelliptic and parametric equations on Carnot groups, Proc. Amer. Math. Soc. 7, 3035-3045 (2016).

  35. G. Molica Bisci - V. Radulescu, Ground state solutions of scalar field fractional Schroedinger equations, Calc. Var. Partial Differential Equations 54, 2985-3008 (2015).

  36. Z. Binlin - G. Molica Bisci - R. Servadei, Superlinear nonlocal fractional problems with infinitely many solutions, Nonlinearity 28, 2247-2264 (2015).

  37. G. Molica Bisci - R. Servadei, A Brezis-Nirenberg splitting approach for nonlocal fractional equations, Nonlinear Anal. 119, 341-353 (2015).

  38. G. Molica Bisci - R. Servadei, Lower semicontinuity of functionals of fractional type and applications to nonlocal equations with critical Sobolev exponent, Adv. Differential Equations 20, 635-660 (2015).

  39. G. Molica Bisci - V. Radulescu, A characterization for elliptic problems on fractal sets, Proc. Amer. Math. Soc. 143, 2959-2968 (2015).

  40. L. Fattorusso - G. Molica Bisci - A. Tarsia, A global regularity result for some degenerate elliptic systems, Nonlinear Anal. 125, 54-66 (2015).

  41. G. Molica Bisci - R. Servadei, A pseudo-index approach to fractional equations, Expo. Math. 33, 502-516 (2015).

  42. G. Molica Bisci - V. Radulescu, Applications of local Linking to nonlocal Neumann problems, Commun. Contemp. Math., vol. 17, 1 ID 1450001 (2015).

  43. G.M. Figueiredo - G. Molica Bisci - R. Servadei, On a fractional Kirchhoff-type equation via Krasnoselskii's genus, Asymptot. Anal. 94, 347-361 (2015).

  44. G. Molica Bisci - D. Repovs, On doubly nonlocal fractional elliptic equations, Rend. Lincei Mat. Appl. 26, 161-176 (2015).

  45. G. Molica Bisci - V. Radulescu, Multiplicity results for elliptic fractional equations with subcritical term, NoDEA Nonlinear Differential Equations Appl. 22, 721-739 (2015).

  46. G. Molica Bisci - V. Radulescu, Bifurcation analysis of a singular elliptic problem modelling the equilibrium of anisotropic continuous media, Topol. Methods Nonlinear Anal. 45, 493-508 (2015).

  47. G. Afrouzi - A. Hadjian - G. Molica Bisci, A variational approach for one-dimensional prescribed mean curvature problems, J. Aust. Math. Soc. 97, 145-161 (2014).

  48. G. Molica Bisci - P. Pizzimenti, Sequences of weak solutions for non-local elliptic problems with Dirichlet boundary condition, Proc. Edinb. Math. Soc. 57, 779-809 (2014).

  49. G. Molica Bisci - D. Repovs, Higher nonlocal problems with bounded primitive, J. Math. Anal. Appl. 420, 167-176 (2014).

  50. G. Molica Bisci, Sequence of weak solutions for fractional equations, Math. Res. Lett. 21, 241-253 (2014).

  51. M. Ferrara - G. Molica Bisci, Existence results for elliptic problems with Hardy potential, Bull. Sci. Math., 138, 846-859 (2014).

  52. G. Molica Bisci - D. Repovs, Multiple solutions for elliptic equations involving a general operator in divergence form, Ann. Acad. Fenn. Math. 39, 259-273 (2014).

  53. G. Molica Bisci, Fractional equations with bounded primitive, Appl. Math. Lett. 27, 53-58 (2014).

  54. G. Molica Bisci - B.A. Pansera, Three weak solutions for nonlocal fractional equations, Adv. Nonlinear Stud., 14, 619-629 (2014).

  55. G. Molica Bisci - V. Radulescu, A Mountain Pass Solutions for Nonlocal Equations, Ann. Acad. Fenn. Math. 39, 579-592 (2014).

  56. G. Molica Bisci, Variational problems on the sphere, Recent Trends in Nonlinear Partial Differential Equations II. Stationary problems, Contemp. Math. 595, 273-291 (2013).

  57. G. Molica Bisci - D. Repovs, Nonlinear algebraic systems with discontinuous terms, J. Math. Anal. Appl. 398, 846-856 (2013).

  58. G. Molica Bisci - V. Radulescu, Multiple symmetric solutions for a Neumann problem with lack of compactness, C.R. Math. Acad. Sci. Paris 351, 37-42 (2013).

  59. G. Bonanno - G. Molica Bisci - V. Radulescu, Nonlinear elliptic problems on Riemannian manifolds and applications to Emden-Fowler type equations, Manuscripta Math. 142, 157-185 (2013).

  60. P. Candito - G. Molica Bisci, Radially symmetric weak solutions for elliptic problems in R^N, Differential Integral Equations, 26 n. 9/10, 1009-1026 (2013).

  61. G. Bonanno - G. Molica Bisci - V. Radulescu, Quasilinear elliptic non-homogeneous Dirichlet problems through Orlicz-Sobolev spaces, Nonlinear Anal. 75, 4441-4456 (2012).

  62. G. Bonanno - G. Molica Bisci - V. Radulescu, Variational analysis for a nonlinear elliptic problem on the Sierpinski gasket, ESAIM Control Optim. Calc. Var. 18, 941-953 (2012).

  63. G. Bonanno - G. Molica Bisci, Three weak solutions for elliptic Dirichlet problems, J. Math. Anal. Appl. 382, 1-8 (2011).

  64. G. Bonanno - G. Molica Bisci, Infinitely many solutions for a Dirichlet problem involving the p-Laplacian, Proc. Roy. Soc. Edinburgh Sect. A 140, 737-752 (2010).

  65. S.A. Marano - G. Molica Bisci - D. Motreanu, Multiple solutions for a class of elliptic hemivariational inequalities, J. Math. Anal. Appl. 337, 85-97 (2008).


Complete list of publications