Eugenio Montefusco

Dipartimento di Matematica
Sapienza Università di Roma
piazzale Aldo Moro 5, 00185 Roma
tel. +39.0649693222
fax. +39.0644701007
e-mail: montefusco@mat.uniroma1.it



Key Words

  • Nonlinear Schrodinger Equations.
  • Nonlinear Elliptic Equations.
  • Variational Methods.
  • Solitons Dynamic.
  • Qualitative Properties of Solutions.


Preprints and Publications

  • L. Fanelli, S. Lucente and E. Montefusco, Semilinear Hamiltonian Schrodinger systems, to appear on International Journal of Dynamical Systems and Differential Equations.
  • E. Montefusco, A note or Some remarks on solutions of some nonlinear plane elliptic Neumann problems concentrating on curves, preprint.
  • S. Lucente and E. Montefusco, Non-hamiltonian Schrodinger systems, preprint.
  • S. Finzi Vita and E. Montefusco, Principio d'induzione, in La Matematica nelle Gare di Matematica, Edizioni Nuova Cultura, 2010.
  • S. Melillo and E. Montefusco, On the existence of a travelling wave solution for a model of actin-based bacterial movement, J. Math. Anal. Appl. 372, 423-438, 2010.
  • E. Montefusco, B. Pellacci and M. Squassina, Energy convexity estimates for non-degenerate ground states of nonlinear 1D Schrodinger systems, Comm. Pure Appl. Anal. 9, 867-884, 2010.
  • E. Montefusco, B. Pellacci and M. Squassina, Soliton dynamics for CNLS systems with potentials, Asympt. Anal. 66, 61-86, 2010.
  • E. Montefusco, Moving data faster and more accurately, Atomium Culture Project 2010.
  • L.A. Maia, E. Montefusco and B. Pellacci, Orbital stability of ground state solutions of coupled nonlinear Schrodinger equations, Adv. Nonlin. Stud. 10, 681-705, 2010
  • A. Di Castro and E. Montefusco, Nonlinear eigenvalues for anisotropic quasilinear degenerate elliptic equations, Nonlin. Anal. T.M.A. 70, 4093-4105, 2009.
  • L.A. Maia, E. Montefusco and B. Pellacci, Infinitely many nodal solutions for a weakly coupled nonlinear Schrodinger System, Comm. Cont. Math. 10, 651-669, 2008.
  • E. Montefusco, B. Pellaccci and M. Squassina, Semiclassical states for weakly coupled nonlinear Schrodinger system, J. Eur. Math. Soc. 10, 47-71, 2008.
  • L. Fanelli and E. Montefusco On the blow-up threshold for weakly coupled nonlinear Schrodinger equations, J. Phys. A: Math. Theor. 40, 14139-14150, 2007.
  • D. Bartolucci and E. Montefusco, Blow up analysis, existence and qualitative properties of solutions for the two dimensional Emden-Fowler equation with singular potential, Math. Meth. Appl. Sc. 30, 2309-2327, 2007.
  • L.A. Maia, E. Montefusco and B. Pellacci, Purely vector ground states for a nonlinear nonautonomous Schrodinger System, Proceedings of the Conference on Differential & Difference Equations and Applications, 733-742, Hindawi Publ. Corp. 2006.
  • L.A. Maia, E. Montefusco and B. Pellacci, Positive solutions for a weakly coupled nonlinear Schrodinger system, J. Differential Eqs. 229, 743-767, 2006.
  • D. Bartolucci and E. Montefusco, On the shape of blow up solutions to a mean field equation, Nonlinearity 19, 611-631, 2006.
  • P. D'Ancona and E. Montefusco, Il problema di Didone, Ricordando Franco Conti, Pubbl. Cent. Ric. Mat. Ennio Giorgi, S.N.S. Pisa, 59-79, 2004.
  • E. Montefusco, Axial symmetry of solutions to semilinear elliptic equations in unbounded domains, Proc. Roy. Soc. Edinburgh Sect. A 133, 1175-1192, 2003.
  • E. Montefusco and V. Radulescu, Nonlinear eigenvalue problems for quasilinear operators on unbounded domains, No.D.E.A. Nonlinear Differential Equations Appl. 8, 481-497, 2001.
  • E. Montefusco, Lower semicontinuity of functionals via the concentration-compactness principle, J. Math. Anal. Appl. 263, 264-276, 2001.
  • E. Montefusco and P. Pucci, Existence of radial ground states for quasilinear elliptic equations, Adv. Differential Equations 6, 959-986, 2001.
  • J. Garcia-Azorero, E. Montefusco and I. Peral, Bifurcation for the p-Laplacian in Rn, Adv. Differential Equations 5, 435-464, 2000.
  • E. Montefusco, Sublinear elliptic eigenvalue problems in Rn, Atti Sem. Mat. Fis. Univ. Modena 47, 317-326, 1999.
  • E. Montefusco, Perturbation results for semilinear elliptic equations in Rn, Comm. Appl. Nonlinear Anal. 5, 39-51, 1998.
  • E. Montefusco, A Dirichlet problem in the strip, Electron. J. Differential Equations 1996, No. 10.


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