On the convergence of solutions of degenerate elliptic equations in divergence form期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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On the convergence of solutions of degenerate elliptic equations in divergence form

Authors:

Institution:

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 (a_h (x, D·)), where the functions a_h 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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