INdAM - GNAMPA Project 2014

Proprietà geometriche e analitiche per problemi non-locali

 

Members:

- Rossella Bartolo (Politecnico di Bari)

- Alessio Fiscella (Universidade Estadual de Campinas)

- Giovanni Molica Bisci (Università ‘Mediterranea’ di Reggio Calabria), principal investigator

- Raffaella Servadei (Università della Calabria)





Workshop:

- Recent Trends on Nonlinear Phenomena, Università ‘Mediterranea’ di Reggio Calabria, November 5-7, 2014




Visiting professors:

- Pablo Luis De Nápoli, Universidad de Buenos Aires, Argentina

- Jean Mawhin, Université Catholique de Louvain, Belgium




Talks:

- A. Fiscella, A Kirchhoff type problem in a non-local setting, School on Nonlinear Elliptic Problems, Università di Milano ‘Bicocca’, Milano (Italy), January 20-24, 2014;


- R. Bartolo, Asymptotically p-linear problems for the p-Laplacian, School on Nonlinear Elliptic Problems, Università di Milano ‘Bicocca’, Milano (Italy), January 20-24, 2014;


- G. Molica Bisci, Elliptic problems on fractal domains, Università degli Studi di Perugia, Perugia (Italy), March 2-8, 2014;


- R. Servadei, Equazioni ellittiche in ambito non-locale, Università degli Studi di Perugia, Perugia (Italy), March 2-8, 2014;


- R. Servadei, On some equations in a non-local setting, Università degli Studi di Cagliari, Cagliari (Italy), March 31- April 4, 2014;


- R. Bartolo, Geodesic connectedness on globally hyperbolic spacetimes with a lightlike Killing vector field, Seminar on Differential Equations and Geometry, Università ‘Mediterranea’ di Reggio Calabria, Reggio Calabria (Italy), April 1, 2014;


- R. Bartolo, Perturbed p-Laplacian problems, 8th European Conference on Elliptic and Parabolic Problems, Minisymposium: Recent trends in nonlinear analysis and its applications, Gaeta (Italy), May 26-30, 2014;


- G. Molica Bisci, Elliptic equations on fractal sets, 8th European Conference on Elliptic and Parabolic Problems, Gaeta (Italy), May 26-30, 2014;


- R. Servadei, On some nonlocal fractional equations, 8th European Conference on Elliptic and Parabolic Problems, Gaeta (Italy), May 26-30, 2014;


- A. Fiscella, Variational problems involving nonlocal fractional operators, Seminarios de Equaciones Diferenciais, Universidade Estadual de Campinas, Campinas (Brazil), June 10, 2014;


- G. Molica Bisci, Fractional equations with critical nonlinearities, International Symposium on Applied Analysis, University of Zurich, Zurich (Switzerland), June 10-11, 2014;


- R. Servadei, Some recent results for fractional Laplacian problems, International Symposium on Applied Analysis, University of Zurich, Zurich (Switzerland), June 10-11, 2014;


- G. Molica Bisci, Recent results for fractional type equations, International Workshop on Nonlinear Analysis and Applications to Economics, University of Craiova, Craiova (Romania), September 25, 2014;


- R. Servadei, Critical equations involving fractional nonlocal operators, International Workshop on Nonlinear Analysis and Applications to Economics, University of Craiova, Craiova (Romania), September 25, 2014;


- R. Servadei, Variational methods for nonlocal equations, Università degli Studi di Palermo, Palermo (Italy), February 6, 2015;


- R. Servadei, Fractional nonlinear problems, Università degli Studi di Catania, Catania (Italy), February 9, 2015.




Publications:

- G. Afrouzi - A. Hadjian - G. Molica Bisci: ‘Some remarks for one-dimensional mean curvature problems through a local minimization principle’, Adv. Nonlinear Anal., in press, ISSN: 2191-9496;

- G. Afrouzi - A. Hadjian - G. Molica Bisci: ‘A variational approach for one-dimensional prescribed mean curvature problems’, J. Aust. Math. Soc., in press;

- B. Barrios - E. Colorado - R. Servadei - F. Soria: ‘A critical fractional equation with concave-convex power nonlinearities’, Ann. Inst. H. Poincaré Anal. Non Linéaire, in press, available online at http://arxiv.org/abs/1306.3190;

- R. Bartolo: ‘ Multiplicity results for a class of quasilinear elliptic problems’, Mediterr. J. Math., DOI 10.1007/s00009-013-0378-6;

- R. Bartolo - A.M. Candela - J.L. Flores: ‘Connection by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field’, preprint, 2014;

- R. Bartolo - A.M. Candela - A. Salvatore: ‘Perturbed asymptotically linear problems’, Ann. Mat. Pura Appl., 193 (2014), 89-101;

- R. Bartolo - A.M. Candela - A. Salvatore: ‘Multiplicity results for a class of asymptotically p-linear equations on \(R^N\)’, preprint, 2014;

- R. Bartolo - G. Molica Bisci: ‘A pseudo-index approach to fractional equations’, preprint, 2014;

- Z. Binlin - G. Molica Bisci - R. Servadei: ‘Superlinear nonlocal fractional problems with infinitely many solutions, preprint, 2014, submitted for publication, available online at http://www.math.utexas.edu/mp_arc-bin/mpa?yn=14-65;

- M. Ferrara - G. Molica Bisci: ‘Existence results for elliptic problems with Hardy potential’, Bull. Sci. Math., in press, ISSN:0007-4497;

- M. Ferrara - G. Molica Bisci: ‘Remarks for one-dimensional fractional equations’, Opuscula Math., in press;

- M. Ferrara - G. Molica Bisci - B. Zhang: ‘Existence of weak solutions for non-local fractional problems via Morse theory’, Discrete Contin. Dyn. Syst. Ser. B, in press;

- A. Fiscella - G. Molica Bisci - R. Servadei: ‘Bifurcation and multiplicity results for critical nonlocal fractional Laplacian problems’, preprint, 2014, submitted for publication, available online at http://www.math.utexas.edu/mp_arc-bin/mpa?yn=14-43;

- A. Fiscella - R. Servadei - E. Valdinoci: ‘Density properties for fractional Sobolev spaces’, to appear in Ann. Acad. Sci. Fenn. Math.;

- A. Fiscella - E. Valdinoci: ‘A critical Kirchhoff type problem involving a nonlocal operator’, Nonlinear Anal., 94 (2014), 156-170;

- A. Fiscella - E. Vitillaro: ‘Blow-up for the wave equation with nonlinear source and boundary damping terms’, Proc. Roy. Soc. Edinburgh Sect. A, in press;

- A. Greco - R. Servadei: ‘Hopf’s lemma and constrained radial symmetry for the fractional Laplacian’, preprint, 2014, submitted for publication;

- M. Imbesi - G. Molica Bisci: ‘Discrete elliptic Dirichlet problems and nonlinear algebraic systems’, Mediterr. J. Math., in press;

- G. Molica Bisci: ‘Fractional equations with bounded primitive’, Appl. Math. Lett., in press, ISSN: 0893-9659;

- G. Molica Bisci: ‘Sequences of weak solutions for fractional equations’, Math. Res. Lett., 21, no.2 (2014), 1-13;

- G. Molica Bisci - B.A. Pansera: ‘Three weak solutions for nonlocal fractional equations’, Adv. Nonlinear Stud., 14, no.3 (2014);

- G. Molica Bisci - P. Pizzimenti: ‘Sequences of weak solutions for non-local elliptic problems with Dirichlet boundary condition’, Proc. Edinburgh Math. Soc., in press, ISSN: 0013-0915;

- G. Molica Bisci - V. Radulescu: ‘Mountain Pass solutions for nonlocal equations’, Ann. Acad. Sci. Fenn. Math., in press, ISSN: 1798-2383;

- G. Molica Bisci - V. Radulescu: ‘Applications of local Linking to nonlocal Neumann problems’, Commun. Contemp. Math., in press, ISSN: 0219-1997;

- G. Molica Bisci - V. Radulescu: ‘Bifurcation analysis of a singular elliptic problem modelling the equilibrium of anisotropic continuous media’, Topol. Methods Nonlinear Anal., in press;

- G. Molica Bisci - V. Radulescu: ‘A characterization for elliptic problems on fractal sets’, Proc. Amer. Math. Soc. , in press, ISSN: 0002-9939;

- G. Molica Bisci - V. Radulescu - R. Servadei: ‘Competition phenomena for elliptic equations involving a general operator in divergence form’, preprint, 2013, submitted for publication;

- G. Molica Bisci - V. Radulescu - R. Servadei: ‘Low and high energy solutions of nonlinear elliptic oscillatory problems’, C. R. Math. Acad. Sci. Paris, 352 (2014), 117-122;

- G. Molica Bisci - D. Repovs: ‘Multiple solutions for elliptic equations involving a general operator in divergence form’, Ann. Acad. Sci. Fenn. Math., in press, ISSN: 1798-2383;

- G. Molica Bisci - D. Repovs: ‘On sequences of solutions for discrete anisotropic equations’, Expo. Math., in press, ISSN: 0723-0869;

- G. Molica Bisci - D. Repovs: ‘Nonlinear Neumann problems driven by a nonhomogeneous differential operator’, Bull. Math. Soc. Sci. Math. R. S. Roumanie, in press, ISSN: 1220-3874;

- G. Molica Bisci - D. Repovs: ‘On biharmonic equations with Navier boundary conditions’, Complex Var. Elliptic Equ., in press, ISSN: 1747-6933;

- G. Molica Bisci - D. Repovs: ‘Higher nonlocal problems with bounded potential’, J. Math. Anal. Appl., in press;

- G. Molica Bisci - D. Repovs: ‘On doubly nonlocal fractional elliptic equations’, preprint, 2014;

- G. Molica Bisci - D. Repovs: ‘Existence and localization of solutions for nonlocal fractional equations’, Asymptot. Anal., in press;

- G. Molica Bisci - D. Repovs: ‘Existence of solutions for p-Laplacian discrete equations’, Appl. Math. Comput., 242, no.1 (2014), 454-461;

- G. Molica Bisci - R. Servadei: ‘A bifurcation result for nonlocal fractional equations’, Anal. Appl., in press;

- G. Molica Bisci - R. Servadei: ‘Lower semicontinuity of functionals of fractional type and applications to nonlocal equations with critical Sobolev exponent’, preprint, 2013, submitted for publication, available online at http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=13-24.

- G. Molica Bisci - R. Servadei: `A Brezis-Nirenberg splitting approach for nonlocal fractional problems', Nonlinear Anal., in press.