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- W2955103318 abstract "We extend the Caffarelli-Świech-Winter C 1 , α regularity estimates to L p -viscosity solutions of fully nonlinear uniformly elliptic equations in nondivergence form with superlinear growth in the gradient and unbounded coefficients. As an application, in addition to the usual W 2 , p results, we prove the existence of positive eigenvalues for proper operators with nonnegative unbounded weight, in particular for Pucci's operators with unbounded coefficients. Dans cet article on étend les résultats de régularité C 1 , α de Caffarelli-Świech-Winter aux solutions de L p viscosité des équations complètement non-linéaires, uniformément elliptiques, sous forme non-divergence, avec croissance super-linéaire par rapport au gradient et coefficients non bornés. Dans le cadre d'une application, en plus des résultats habituels W 2 , p , on prouve l'existence de valeurs propres positives pour les opérateurs propres avec poids non borné non négatif, en particulier pour les opérateurs de Pucci à coefficients non bornés." @default.
- W2955103318 created "2019-07-12" @default.
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- W2955103318 date "2019-08-01" @default.
- W2955103318 modified "2023-10-02" @default.
- W2955103318 title "C1, regularity for fully nonlinear elliptic equations with superlinear growth in the gradient" @default.
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- W2955103318 doi "https://doi.org/10.1016/j.matpur.2019.06.008" @default.
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