Moser-type inequalities in Lorentz spaces |
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| Authors: | Angelo Alvino Vincenzo Ferone Guido Trombetti |
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| Institution: | (1) Dipartimento di Matematica e Applicazioni  R. Caccioppoli , Università di Napoli Federico II, Complesso Monte S. Angelo, Via Cintia, 80126 Napoli, Italy |
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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
inf0
sup1
of Au=(f
i
)
x
i
, where A is a linear elliptic second order differential operator and |f|L(n, q), 2q.Work partially supported by MURST (40%). |
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| Keywords: | 46E35 35B45 35J25 |
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