GNAMPA Project 2013

Problemi nonlocali di tipo laplaciano frazionario

 

• Members:
  
  - Giovanni Molica Bisci (Università 'Mediterranea' di Reggio Calabria)

  - Simone Secchi (Università di Milano 'Bicocca')

  - Raffaella Servadei (Università della Calabria), principal investigator

  
  
  

• Workshops and Schools:
  
  - Seminars on Nonlinear Analysis, Università 'Mediterranea' di Reggio Calabria, October 22, 2013

  - School on Nonlinear Elliptic Problems, Università di Milano 'Bicocca', January 20-24, 2014

  
  

• Visiting professors:
  
  - Xavier Cabré, Universitat Politècnica de Catalunya, Barcelona (Spain)

  - Patrizia Pucci, Università di Perugia, Perugia (Italy)

  
  

• Talks:
  
  - G. Molica Bisci, Su alcuni problemi variazionali non-locali, Università 'La Sapienza' di Roma, Roma (Italy), March 7, 2013;
  - S. Secchi, Ground states per l'equazione di Hartree non relativistica, Università di Parma, Parma (Italy), April 2013;
  - R. Servadei, Problemi non-locali di tipo Laplaciano frazionario, Università `Mediterranea' di Reggio Calabria, Reggio Calabria (Italy), May 6, 2013;
  - R. Servadei, Operatori non-locali di tipo Laplaciano frazionario, Giornata UNICAL dell'Analisi Matematica, Università della Calabria, Arcavacata di Rende (Cosenza, Italy), June 5, 2013;
  - G. Molica Bisci, 'Risultati di esistenza e molteplicita' per equazioni non-locali, Università della Calabria, Arcavacata di Rende (Cosenza, Italy), June 6, 2013;
  - R. Servadei, Elliptic nonlocal fractional equations, Bogazici University, Istanbul (Turkey), July 1-3, 2013;
  - R. Servadei, Nonlocal problems driven by the fractional Laplacian, Anatolian communications in nonlinear analysis, Bolu (Turkey), July 3-6, 2013;
  - R. Servadei, Some results on nonlocal fractional equations, Università degli Studi di Perugia, Perugia (Italy), August 2, 2013;
  - R. Servadei, Elliptic problems involving the fractional Laplace operator, Seminars on nonlinear analysis, Università `Mediterranea' di Reggio Calabria, Reggio Calabria (Italy), October 22, 2013;
  - G. Molica Bisci, Elliptic problems on manifolds, 4th International school on computational commutative algebra and algebraic geometry, Università di Messina, Messina (Italy), October 24-26, 2013;
  - R. Servadei, Fractional nonlocal operators, 4th International school on computational commutative algebra and algebraic geometry, Università di Messina, Messina (Italy), October 24-26, 2013.

  
  

• 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', preprint, 2013, submitted for publication, available online at http://arxiv.org/abs/1306.3190;

- S. Cingolani - M. Clapp - S. Secchi: `Intertwining semiclassical solutions to a Schrödinger-Newton system' Discrete Contin. Dyn. Syst. Ser. S, 6 (2013), 891-908;

- S. Cingolani - S. Secchi: `Multiple \(S^1\) orbits for the Schrödinger-Newton system, Differential Integral Equations 26 (2013), 867-884;

- S. Cingolani - S. Secchi: `Ground states for the pseudo-relativistic Hartree equation with external potential, Proc. Roy. Soc. Edinburgh Sect. A, in press;

- M. Ferrara - L. Guerrini - G. Molica Bisci: `Center manifold reduction and perturbation method in a delayed model with a mound-shaped Cobb-Douglas production function', Abstr. Appl. Anal. 2013, Article ID 738460;

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

- G. Molica Bisci: `Variational problems on the sphere', Contemp. Math., Vol.595, 2013, pp. 273-291;

- G. Molica Bisci - B.A. Pansera: `Three weak solutions for nonlocal fractional equations', Adv. Nonlinear Stud., in press;

- 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: `Multiple symmetric solutions for a Neumann problem with lack of compactness', C. R. Math. Acad. Sci. Paris, Vol.351, 2013, pp. 37-42;

- 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, in press;

- 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 - 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;

- S. Secchi - M. Squassina: `Soliton dynamics for fractional Schrödinger equations, Appl. Anal., in press;

- S. Secchi: `Ground state solutions for nonlinear fractional Schrödinger equations in \(R^N\)', J. Math. Phys., 54 (2013) art. no. 031501;

- S. Secchi: `Perturbation results for some nonlinear equations involving fractional operators', Differential Equations and Applications, Vol. 5, No.2, 2013, pp.221-236.

- S. Secchi: `On fractional Schrödinger equations in \(R^N\) without the Ambrosetti-Rabinowitz condition', Topol. Methods Nonlinear Anal., in press.