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Currently displaying 1 – 2 of 2

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Isoperimetric inequalities in parabolic equations

J. Mossino; J. M. Rakotoson — 1986

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Homogenization of some nonlinear problems with specific dependence upon coordinates

P. Courilleau; S. Fabre; J. Mossino — 2001

Bollettino dell'Unione Matematica Italiana

Questo articolo considera una successione di equazioni differenziali a derivate parziali non lineari in forma di divergenza del tipo $- div (Q^{ϵ} G (x, N^{ϵ} \nabla u)) = f^{ϵ},$ in un dominio limitato $Ω$ dello spazio $n$ -dimensionale; $Q^{ϵ} = Q^{ϵ} (x)$ e $N^{ϵ} = N^{ϵ} (x)$ sono matrici con coefficenti limitati, $N^{ϵ}$ e è invertibile e la sua matrice inversa $R^{ϵ}$ ha anche coefficenti limitati. La non linearità è dovuta alla funzione $G = G (x, ξ)$ ; la condizione di crescita, la monotonicità e le ipotesi di coercitività sono modellate sul $p$ -Laplaciano, $1 < p < \infty$ , ed assicurano l'esistenza di una soluzione...

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