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Estimates and existence results for a fully nonlinear Yamabe problem on manifolds with boundary

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Abstract

In this paper we consider a fully nonlinear version of the Yamabe problem on compact Riemannian manifold with boundary. Under various conditions we derive local estimates for solutions and establish some existence results.

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, 110 Frelinghuysen Rd., Piscataway, NJ, 08854, USA

    Qinian Jin & YanYan Li

  2. Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Madison, WI, 53706, USA

    Aobing Li

Authors
  1. Qinian Jin
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  2. Aobing Li
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  3. YanYan Li
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Correspondence to YanYan Li.

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Partially supported by NSF grant DMS-0401118.

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Jin, Q., Li, A. & Li, Y. Estimates and existence results for a fully nonlinear Yamabe problem on manifolds with boundary. Calc. Var. 28, 509–543 (2007). https://doi.org/10.1007/s00526-006-0057-6

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  • DOI: https://doi.org/10.1007/s00526-006-0057-6

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