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Solitary Waves and Electromagnetic Fields

Donato Fortunato — 2008

Bollettino dell'Unione Matematica Italiana

Roughly speaking a solitary wave is a solution of a field equation whose energy travels as a localized packet; by soliton, we mean a solitary wave which exhibits some form of stability. In this respect solitary waves and solitons have a particle-like behavior and they occur in many questions of mathematical physics, such as superconductivity, phase transition, classical and quantum field theory, non linear optics, (see e.g. [37], [50], [56]). We are not interested in the study of a particular model....

Remarks on the non self-adjoint Schrödinger operator

Donato Fortunato — 1979

Commentationes Mathematicae Universitatis Carolinae

A "Birkhoff-Lewis" type result for a class of Hamiltonian systems.

Vieri Benci; Donato Fortunato — 1987

Manuscripta mathematica

Existence of geodesics for the Lorentz metric of a stationary gravitational field

Vieri Benci; Donato Fortunato — 1990

Annales de l'I.H.P. Analyse non linéaire

Stability results for a diffusive nonlinear deterministic epidemic model

Vincenzo Capasso; Donato Fortunato — 1978

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Si stabilisce un risultato di stabilità asintotica per la soluzione di equilibrio di una equazione semilineare di evoluzione che descrive un modello epidemico.

Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents

Giovanna Cerami; Donato Fortunato; Michaël Struwe — 1984

Annales de l'I.H.P. Analyse non linéaire

Some results on the existence of geodesics in static Lorentz manifolds with singular boundary

Vieri Benci; Donato Fortunato; Fabio Giannoni — 1991

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In this Note we deal with the problem of the existence of geodesies joining two given points of certain non-complete Lorentz manifolds, of which the Schwarzschild spacetime is the simplest physical example.

Fourth-order nonlinear elliptic equations with critical growth

David E. Edmunds; Donato Fortunato; Enrico Jannelli — 1989

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In this paper we consider a nonlinear elliptic equation with critical growth for the operator $\Delta^{2}$ in a bounded domain $\Omega\subset\mathbb{R}^{n}$ . We state some existence results when $n\geq 8$ . Moreover, we consider $5\leq n\leq 7$ , expecially when $\Omega$ is a ball in $\mathbb{R}^{n}$ .

Fourth-order nonlinear elliptic equations with critical growth

David E. Edmunds; Donato Fortunato; Enrico Jannelli — 1989

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

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Currently displaying 1 – 9 of 9

Solitary Waves and Electromagnetic Fields

Remarks on the non self-adjoint Schrödinger operator

A "Birkhoff-Lewis" type result for a class of Hamiltonian systems.

Existence of geodesics for the Lorentz metric of a stationary gravitational field

Stability results for a diffusive nonlinear deterministic epidemic model

Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents

Some results on the existence of geodesics in static Lorentz manifolds with singular boundary

Fourth-order nonlinear elliptic equations with critical growth

Fourth-order nonlinear elliptic equations with critical growth