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Some refinements of the Hodge decomposition and applications |
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| Institution: | Dipartimento di Matematica, Seconda Università di Napoli Piazza Duomo, 81100 Caserta, Italia;Département de Mathématiques, Université de Poitiers SP2MI Boulevard 3 Teleport 2 BP 179, 86960 Futuroscope Cedex, France;Dipartimento di Matematica ed Applicazioni “Renato Caccioppoli”, Universiteà di Napoli Complesso Monte S. Angelo, Via Cintia, 80126 NapoIi, Italia |
| Abstract: | We extend the nonlinear Hodge decomposition of Iwaniec et al. 1] to other vector fields. We give applications to Leray-Lions type equations with very weak assumptions on data similar to those developed in 1]. |
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