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Orlicz Capacities and Applications to PDEs and Sobolev Mappings

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Elliptic and Parabolic Problems

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 63))

Abstract

We discuss two applications of the notion of Orlicz capacity. The first one is related to a nonexistence result of solutions for some nonlinear elliptic equations having measure data, the second one to a capacitary estimate useful for proving an extension, due to Malý, Swanson and Ziemer ([20]), of the area and co-area formulas.

Proceedings of the V European Conference on elliptic and parabolic problems A special tribute to the work of Haïm Brézis. Gaeta, May, 30 – June, 3, 2004

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Author information

Authors and Affiliations

  1. Dipartimento di Costruzioni e Metodi Matematici in Architettura, Universitá di Napoli, via Monteoliveto, 3, I-80134, Napoli, Italy

    Alberto Fiorenza

  2. Consiglio Nazionale delle Ricerche, Istituto per le Applicazioni del Calcolo “Mauro Picone”, Sezione di Napoli, via Pietro Castellino, 111, I-80131, Napoli, Italy

    Alberto Fiorenza

Authors
  1. Alberto Fiorenza
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Editors and Affiliations

  1. Mathematisches Institut, Universität Basel, Rheinsprung 21, 4051, Basel, Switzerland

    Catherine Bandle

  2. Ecole des hautes études en sciences sociales (EHESS), CAMS, 54, Boulevard Raspail, 75006, Paris, France

    Henri Berestycki

  3. Faculté des Sciences et Techniques, Université de Haute-Alsace, 4 rue des frères Lumières, 68093, Mulhouse Cedex, France

    Bernard Brighi

  4. Laboratoire de Gestion des Risques et Environnement, Université de Haute-Alsace, 25, rue de Chemnitz, 68200, Mulhouse, France

    Alain Brillard

  5. Angewandte Mathematik, Universität Zürich, Winterthurerstr. 190, 8057, Zürich, Switzerland

    Michel Chipot

  6. Département de mathématiques, Université de Paris-Sud, Bâtiment 425, 91405, Orsay, France

    Jean-Michel Coron

  7. Dipartimento di Matematica e Applicazioni, Università di Napoli “Federico II”, Via Cintia, 80126, Napoli, Italy

    Carlo Sbordone

  8. Department of Mathematics, Technion — Israel Institute of Technology, 32000, Haifa, Israel

    Itai Shafrir

  9. CNR-IAC, Viale del Policlinico, 137, 00161, Roma, Italy

    Vanda Valente

  10. Dipartimento di metodi e modelli matematici per le Scienze Aplicate, Università di Roma “La Sapienza”, Via A. Scarpa 16, 00161, Roma, Italy

    Giorgio Vergara Caffarelli

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© 2005 Birkhäuser Verlag Basel/Switzerland

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Fiorenza, A. (2005). Orlicz Capacities and Applications to PDEs and Sobolev Mappings. In: Bandle, C., et al. Elliptic and Parabolic Problems. Progress in Nonlinear Differential Equations and Their Applications, vol 63. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7384-9_26

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