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Communications in Partial Differential Equations Volume 23, 1998 - Issue 5-6
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Original Articles

A nonlinear fabes—stroock result

Ken Fok Department of Mathematics, University of California, Santa Barbara
Pages 967-983 | Published online: 23 Dec 2010

Citations (17)

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Nicolai V. Krylov. (2020) Linear and fully nonlinear elliptic equations with L-drift. Communications in Partial Differential Equations 45:12, pages 1778-1798.
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Articles from other publishers (16)

N. V. Krylov. (2021) On Diffusion Processes with Drift in a Morrey Class Containing $$L_{d+2}$$. Journal of Dynamics and Differential Equations 35:4, pages 2813-2831.
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N. V. Krylov. (2023) On Nondegenerate Itô Processes with Moderated Drift. Theory of Probability & Its Applications 68:3, pages 510-536.
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Николай Владимирович Крылов & Nikolai Vladimirovich Krylov. (2023) On nondegenerate Itô processes with moderated driftOn nondegenerate Itô processes with moderated drift. Теория вероятностей и ее применения Teoriya Veroyatnostei i ee Primeneniya 68:3, pages 630-660.
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Shigeaki Koike & Andrzej Święch. (2022) Aleksandrov-Bakelman-Pucci maximum principle for L-viscosity solutions of equations with unbounded terms. Journal de Mathématiques Pures et Appliquées 168, pages 192-212.
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N. V. Krylov. (2022) Linear and Fully Nonlinear Elliptic Equations with Morrey Drift. Journal of Mathematical Sciences 268:4, pages 403-421.
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Edgard A. Pimentel & Andrzej Święch. (2022) Existence of solutions to a fully nonlinear free transmission problem. Journal of Differential Equations 320, pages 49-63.
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Hongjie Dong & N. Krylov. (2022) Aleksandrov’s estimates for elliptic equations with drift in Morrey spaces containing 𝐿_{𝑑}. Proceedings of the American Mathematical Society 150:4, pages 1641-1645.
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N.V. Krylov. (2021) On stochastic equations with drift in Ld. The Annals of Probability 49:5.
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N. V. Krylov. (2021) A review of some new results in the theory of linear elliptic equations with drift in $$L_{d}$$. Analysis and Mathematical Physics 11:2.
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J. TYAGI & R. B. VERMA. (2020) LYAPUNOV-TYPE INEQUALITY FOR EXTREMAL PUCCI’S EQUATIONS. Journal of the Australian Mathematical Society 109:3, pages 416-430.
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Fausto Ferrari & Antonio Vitolo. (2020) Regularity Properties for a Class of Non-uniformly Elliptic Isaacs Operators. Advanced Nonlinear Studies 20:1, pages 213-241.
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Chenchen Mou & Andrzej Święch. (2018) Aleksandrov–Bakelman–Pucci maximum principles for a class of uniformly elliptic and parabolic integro-PDE. Journal of Differential Equations 264:4, pages 2708-2736.
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Shigeaki Koike & Andrzej Świech. (2012) Local maximum principle for $L^p$-viscosity solutions of fully nonlinear elliptic PDEs with unbounded coefficients. Communications on Pure and Applied Analysis 11:5, pages 1897-1910.
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Cyril Imbert. (2011) Alexandroff–Bakelman–Pucci estimate and Harnack inequality for degenerate/singular fully non-linear elliptic equations. Journal of Differential Equations 250:3, pages 1553-1574.
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Boyan Sirakov. (2009) Solvability of Uniformly Elliptic Fully Nonlinear PDE. Archive for Rational Mechanics and Analysis 195:2, pages 579-607.
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Shigeaki Koike & Andrzej Święch. (2007) Maximum principle for fully nonlinear equations via the iterated comparison function method. Mathematische Annalen 339:2, pages 461-484.
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