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On Orlicz capacities and a nonexistence result for certain elliptic PDEs

  • Alberto FiorenzaEmail author
  • Flavia Giannetti
Article

Abstract

In this paper a new relation between a capacity of second order and an Orlicz capacity of first order is established. As a consequence, we construct a class of semilinear equations of second order, satisfying an assumption given in terms of first order capacities, which has no distributional solutions.

Keywords

Orlicz capacity Measure data Cantor sets Elliptic equations 

Mathematics Subject Classification

31C15 46E35 35J60 

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Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.Dipartimento di ArchitetturaUniversità di Napoli “Federico II”NapoliItaly
  2. 2.Istituto per le Applicazioni del Calcolo “Mauro Picone”, sezione di Napoli Consiglio Nazionale delle RicercheNapoliItaly
  3. 3.Dipartimento di Matematica e Applicazioni “R. Caccioppoli”Università di Napoli “Federico II”NapoliItaly

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