Singularities of wave fronts at the boundary between two media
Some examples of hyperbolic equations without local solvability
Some mathematical problems arising in heterogeneous insular ecological models.
En esta nota se analizan dos modelos matemáticos deterministas planteados en problemas ecológicos causados por la introducción de nuevas especies en ambientes insulares heterogéneos. En el primero desarrollamos un modelo epidemológico con transmisión indirecta del virus por medio del ambiente. En el segundo se introduce un modelo específico de depredador-presa que exhibe la extinción en tiempo finito de las especies. Ambos modelos involucran sistemas de ecuaciones en derivadas parciales con interesantes...
Some problems of parabolic type with discontinuous nonlinearities on convex constraints
We study semilinear equations and inequalities of parabolic type with discontinuous nonlinearities, possibly subjected to convex or even nonconvex constraint conditions. To prove some existence theorems we regard the solutions as «curves of maximal relaxed slope» for a suitable functional on the given constraint.
Some properties of reachable solutions of nonlinear elliptic equations with measure data
Some simple nonlinear PDE's without solutions
In questo articolo consideriamo alcune semplici equazioni a derivate parziali elittiche nonlineari, per le quali il Teorema della Funzione Inversa, se applicato in modo formale, suggerisce l'esistenza di soluzioni. Nonostante ciò, proviamo che non esistono soluzioni neppure in vari sensi deboli. Un problema modello è dato da in , su , dove , , è un dominio limitato contenente . Per qualunque costante , arbitrariamente piccola, proviamo che questo problema non ammette soluzioni distribuzionali...
Stability of contact discontinuities under perturbations of bounded variation
Sul problema di Cauchy-Dirichlet per una classe di operatori parabolici a coefficienti discontinui
Sul problema di Cauchy-Neumann per le equazioni paraboliche singolari a coefficienti discontinue in due variabili
Summability of the solutions of nonlinear elliptic equations with right hand side measures.
Summability of the solutions to nonlinear parabolic equations with measure data.
Sur les Champs de vecteurs peu réguliers
Systems of quasilinear parabolic equations with discontinuous coefficients and continuous delays.
The Dirichlet problem for elliptic equations in the plane
In this paper an existence and uniqueness theorem for the Dirichlet problem in for second order linear elliptic equations in the plane is proved. The leading coefficients are assumed here to be of class VMO.
The Dirichlet problem for the Monge-Ampère equation in convex (but not strictly convex) domains.
The Dirichlet problem in half-space for elliptic equations with unbounded coefficients
The discontinuous boundary problem for transversally-isotopic plates containing linear defects.
The inhomogeneous dam problem with discontinuous permeability
The p-harmonic system with measure-valued right hand side
Trace imbeddings for -sets and application to Neumann-Dirichlet problems with measures included in the boundary data