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Inverting thep-harmonic operator

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References

  1. Bénilan, P., Boccardo, L., Gallouët, T., Gariepy, R., Pierre, M., Vasquez, J. L.: AnL 1-Theory of Existence and Uniqueness of Solutions of Nonlinear Elliptic Equations, Ann. Scuola Norm. Sup. Pisa, Ser. IV,22 (1995), 241–273.

    MATH  Google Scholar 

  2. Boccardo, L., Gallouët, T.: Non linear elliptic and parabolic equations involving measure data, Jour. Func. Anal.,87 (1989), 149–169.

    Article  MATH  Google Scholar 

  3. Brezis, H., Merle, F.: Uniform estimates and blow-up behavior for solutions of − Δu =V(x)e u in two dimensions, Comm. In P.D.E.16 (1991), 1223–1253.

    Article  Google Scholar 

  4. Chanillo, S., Li, Y. Y.: Continuity of solutions of uniformly elliptic equations in ℝ2, Manuscripta Math.,77, n. 4 (1992), 415–433.

    Article  MATH  Google Scholar 

  5. Dolzman, G., Hungerbühler, N., Müller, S.: Nonlinear elliptic systems with measure-valued right hand side, to appear.

  6. Fiorenza, A., Sbordone, C.: Existence and uniqueness results for solutions of nonlinear equations with right hand side inL 1, to appear.

  7. Greco, L.: A remark on the equality detD f = DetD f, Diff. Int. Eq.,6, n. 5, (1993), 1089–1100.

    MATH  Google Scholar 

  8. Greco, L., Iwaniec, T., Sbordone, C., Stroffolini, B.: Degree formulas for maps with nonintegrable jacobian, Topological Methods in Nonlinear Analysis,6, n. 1 (1995) 81–95.

    MATH  Google Scholar 

  9. Iwaniec, T.:p-Harmonic tensors and quasiregular mappings, Annals of Math,136 (1992), 589–624.

    Article  Google Scholar 

  10. Iwaniec, T. Sbordone, C.: On the integrability of the Jacobian under minimal hypotheses, Arch. Rat. Mech. Anal.119 (1992), 129–143.

    Article  MATH  Google Scholar 

  11. Iwaniec, T., Sbordone, C.: Weak minima of variational integrals, J. Reine Angew. Math.454 (1994), 143–161.

    MATH  Google Scholar 

  12. Iwaniec, T., Scott, C., Stroffolini, B.: Nonlinear Hodge theory on manifolds with boundary, to appear.

  13. Lions, P.-L., Murat, F.: Solutions renormalisées d’equations elliptiques, to appear.

  14. Kilpeläinen, T., Malý, J.: Degenerate elliptic equations with measure data and nonlinear potentials, Ann. Scuola Norm. Sup; Pisa, Ser IV,19 (1992), 591–613.

    MATH  Google Scholar 

  15. Murat, F.: Soluciones renormalizadas de EDP elipticas no lineales, Publications du Laboratoire d’Analyse Numerique, Paris (1993).

    Google Scholar 

  16. Stampacchia, G.: Le problème de Dirichlet pour les equations elliptiques du second ordrea coefficients discontinus, Ann. Inst. Fourier, Grenoble,15 (1965) 189–258.

    Google Scholar 

  17. Del Vecchio, T.: Nonlinear elliptic equations with measure data, Potential Analysis4 (1995), 185–203.

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Dipartimento di Matematica e Applicazioni, Via Cintia, 80126, Napoli, Italia

    Luigi Greco & Carlo Sbordone

  2. Department of Mathematics, Syracuse University, 13244, Syracuse, New York, USA

    Tadeusz Iwaniec

Authors
  1. Luigi Greco
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  2. Tadeusz Iwaniec
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  3. Carlo Sbordone
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Additional information

Second author supported in part by NSF Grant DMS-9401104 and in part by GNAFA-CNR, Firenze, via S. Marta.

First and third authors supported by M.U.R.S.T. 40 % (1994) “Equazioni differenziali e Calcolo delle Variazioni”.

This article was processed by the author using the LATEX style filepljour1 from Springer-Verlag.

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Greco, L., Iwaniec, T. & Sbordone, C. Inverting thep-harmonic operator. Manuscripta Math 92, 249–258 (1997). https://doi.org/10.1007/BF02678192

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