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Existence of strong solutions of Pucci extremal equations with superlinear growth in Du

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Abstract.

We prove existence of strong solutions of Pucci extremal equations with superlinear growth in Du and unbounded coefficients. We apply this result to establish the weak Harnack inequality for Lp-viscosity supersolutions of fully nonlinear uniformly elliptic PDEs with superlinear growth terms with respect to Du.

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Authors and Affiliations

  1. Department of Mathematics, Saitama University, Sakura, Saitama, 338-8570, Japan

    Shigeaki Koike

  2. School of Mathematics, Georgia Institute of Technology, Atlanta, GA, 30332, U.S.A.

    Andrzej Święch

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  1. Shigeaki Koike
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  2. Andrzej Święch
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Correspondence to Shigeaki Koike.

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Koike, S., Święch, A. Existence of strong solutions of Pucci extremal equations with superlinear growth in Du. J. fixed point theory appl. 5, 291–304 (2009). https://doi.org/10.1007/s11784-009-0106-9

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  • DOI: https://doi.org/10.1007/s11784-009-0106-9

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