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Subelliptic Cordes Estimates in the Grušin Plane

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Abstract

We apply subelliptic Cordes conditions and Talenti–Pucci type inequalities to prove W 2,2 and C 1,α estimates for p-harmonic functions in the Grušin plane for p near 2.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università di Catania, Viale A. Doria 6, 95125, Catania, Italy

    G. Di. Fazio & M. S. Fanciullo

  2. Department of Mathematics and Statistics, California State University Sacramento, 6000 J Street, Sacramento, CA, 95819, USA

    A. Domokos

  3. Department of Mathematics, University of Pittsburgh, 301 Thackeray Hall, 15260, Pittsburgh, PA, USA

    J. J. Manfredi

Authors
  1. G. Di. Fazio
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  2. A. Domokos
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  3. M. S. Fanciullo
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  4. J. J. Manfredi
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Corresponding author

Correspondence to A. Domokos.

Additional information

J. J. Manfred; partially supported by NSF award DMS-0500983

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Fazio, G.D., Domokos, A., Fanciullo, M.S. et al. Subelliptic Cordes Estimates in the Grušin Plane. manuscripta math. 120, 419–433 (2006). https://doi.org/10.1007/s00229-006-0025-7

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  • DOI: https://doi.org/10.1007/s00229-006-0025-7

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