Evans, Lawrence C. Classical solutions of fully nonlinear, convex, second-order elliptic equations. (English) Zbl 0469.35022 Commun. Pure Appl. Math. 35, 333-363 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 218 Documents MSC: 35B45 A priori estimates in context of PDEs 35B65 Smoothness and regularity of solutions to PDEs 35J60 Nonlinear elliptic equations 35J15 Second-order elliptic equations Keywords:nonlinear, uniformly elliptic, second order partial differential equations; convex nonlinearity PDF BibTeX XML Cite \textit{L. C. Evans}, Commun. Pure Appl. Math. 35, 333--363 (1982; Zbl 0469.35022) Full Text: DOI References: [1] and , Applications des Inéquations Variationelles en Controle Stochastique, Dunod, Paris, 1979. [2] Brezis, Arch. Rational Mech. Anal. 71 pp 1– (1979) [3] Evans, Israel J. Math. 36 pp 225– (1980) [4] Evans, Trans. Amer. Math. Soc. 253 pp 365– (1979) [5] and , Résolution des équations de Hamilton-Jacobi-Bellman, C. R. Acad. Sci. Paris, June, 1980. [6] Evans, Annales de l’Inst. Fourier 31 pp 175– (1981) · Zbl 0441.35023 [7] and , Deterministic and Stochastic Optimal Control, Springer, New York, 1975. · Zbl 0323.49001 [8] Gaveau, J. Funct. Anal. 25 pp 391– (1977) [9] and , Elliptic Partial Differential Equations of Second Order, Springer, New York, 1977. [10] Ivanov, J. Soviet Math. 10 pp 217– (1978) [11] Controlled Diffusion Processes, Springer, New York, 1980. [12] Krylov, Soviet Math. 20 pp 253– (1979) [13] Representations of Markov processes as multi-parameter time changes, preprint. [14] and , Linear and Quasilinear Elliptic Equations, Academic Press, New York, 1968. [15] Lions, Acta. Math. 146 pp 151– (1981) [16] Motzkin, J. Math. Phys. 31 pp 253– (1953) · Zbl 0050.12501 [17] The Minkowski Multidimensional Problem, Winston, Washington, 1978. [18] Schulz, Math. Z. 169 pp 13– (1979) [19] Local estimates for subsolutions and supersolutions of general second-order elliptic quasi-linear equations, preprint. [20] von Wahl, Math. Z. 136 pp 151– (1974) [21] Lions, SIAM J. Control and Op. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.