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....
Si stabilisce un risultato di stabilità asintotica per la soluzione di equilibrio di una equazione semilineare di evoluzione che descrive un modello epidemico.
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.
In this paper we consider a nonlinear elliptic equation with critical growth for the operator in a bounded domain . We state some existence results when . Moreover, we consider , expecially when is a ball in .
In this paper we consider a nonlinear elliptic equation with critical growth for the operator in a bounded domain . We state some existence results when . Moreover, we consider , expecially when is a ball in .
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