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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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