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Moser-type inequalities in Lorentz spaces

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Abstract

Moser-type estimates for functions whose gradient is in the Lorentz space L(n, q), 1≤q≤∞, are given. Similar results are obtained for solutions u∈H sup1inf0 of Au=(f i ) x i , where A is a linear elliptic second order differential operator and |f|∈L(n, q), 2≤q≤∞.

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Authors and Affiliations

  1. Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università di Napoli “Federico II”, Complesso Monte S. Angelo, Via Cintia, 80126, Napoli, Italy

    Angelo Alvino, Vincenzo Ferone & Guido Trombetti

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  1. Angelo Alvino
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  2. Vincenzo Ferone
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  3. Guido Trombetti
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Work partially supported by MURST (40%).

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Alvino, A., Ferone, V. & Trombetti, G. Moser-type inequalities in Lorentz spaces. Potential Anal 5, 273–299 (1996). https://doi.org/10.1007/BF00282364

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