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On the convergence of solutions of degenerate elliptic equations in divergence form
Authors:R. De Arcangelis  F. Serra Cassano
Affiliation:1. Dipartimento di Matematica e Applicazioni ?Renato Caccioppoli?, Università degli Studi di Napoli Federico II, via Cintia-Complesso Monte S. Angelo, 80126, Napoli, Italia
2. Dipartimento di Matematica, Università di Trento, via Sommarive 14, 38050, Povo, Trento, Italia
Abstract:It is studied the convergence of solutions of Dirichlet problems for sequences of monotone operators of the type — div (ah (x, D·)), where the functions ah verify the following degenerate coerciveness assumption

$$(a_h (x,xi _1 ) - a_h (x,xi _2 )|xi _1 - xi _2 ) geqslant mu _h (x)|xi _1 - xi _2 |^p (p geqslant 2)$$
Keywords:
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