Evans, Lawrence C. A new proof of local \(C^{1,\alpha}\) regularity for solutions of certain degenerate elliptic P.D.E. (English) Zbl 0508.35036 J. Differ. Equations 45, 356-373 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 105 Documents MSC: 35J70 Degenerate elliptic equations 35D10 Regularity of generalized solutions of PDE (MSC2000) 35J20 Variational methods for second-order elliptic equations Keywords:weak solutions; local regularity; degenerate second order elliptic equation PDF BibTeX XML Cite \textit{L. C. Evans}, J. Differ. Equations 45, 356--373 (1982; Zbl 0508.35036) Full Text: DOI OpenURL References: [1] Almoren, F.J, Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularily structure, Ann. of math., 87, 327-391, (1968) [2] Gilbarg, D; Trudinger, N.S, Elliptic partial differential equations of second order, (1977), Springer-Verlag New York · Zbl 0691.35001 [3] Ladyženskaja, O.A; Ural’ceva, N.N, Linear and quasilinear elliptic equations, (1968), Academic Press New York [4] Lewis, J.L, Capacitary functions in convex rings, Arch. rational mech. anal., 66, 201-224, (1977) · Zbl 0393.46028 [5] Moser, J, A new proof of Degiorgi’s theorem concerning the regularity problem for elliptic differential equations, Comm. pure appl. math., 13, 457-468, (1960) · Zbl 0111.09301 [6] Uhlenbeck, K, Regularity for a class of nonlinear elliptic systems, Acta math., 138, 219-240, (1977) · Zbl 0372.35030 [7] Ural’ceva, N.N, Degenerate quasilinear elliptic systems, (), 184-222, [in Russian] 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.