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Nonlinear elliptic equations with measure data

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Abstract

In this paper we prove the existence of solutions of nonlinear equations of the type-div(a(x, u, Du)+H(x, u, Du)=f, wherea andH are Caratheodory functions andf is a bounded Radon measure. We remark that the operator can be not coercive. We give also some regularity results.

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  1. Dip. di Matematica e Appl. ‘R. Caccioppoli’, Università di Napoli, Complesso Monte S. Angelo, 80126, Napoli, Italy

    T. del Vecchio

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del Vecchio, T. Nonlinear elliptic equations with measure data. Potential Anal 4, 185–203 (1995). https://doi.org/10.1007/BF01275590

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