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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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