We prove some a priori inequalities for solutions of mixed boundary-value problems for a class of divergence form elliptic equations with discontinuous and unbounded coefficients in unbounded domains. We study the minimal hypotheses on the coefficients and data in order that the bilinear form a(.,.) be bounded even in the case of unbounded domain.
A priori inequalities for solutions of mixed boundary-value problems in unbounded domains
CHICCO, MAURIZIO;VENTURINO, MARINA
2004-01-01
Abstract
We prove some a priori inequalities for solutions of mixed boundary-value problems for a class of divergence form elliptic equations with discontinuous and unbounded coefficients in unbounded domains. We study the minimal hypotheses on the coefficients and data in order that the bilinear form a(.,.) be bounded even in the case of unbounded domain.
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