×

Global estimates of Hölder continuity for a class of divergente-form elliptic equations. (English) Zbl 0295.35027


MSC:

35J25 Boundary value problems for second-order elliptic equations
35D10 Regularity of generalized solutions of PDE (MSC2000)
35J60 Nonlinear elliptic equations
35J67 Boundary values of solutions to elliptic equations and elliptic systems
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Bombieri, E., E. De Giorgi & M. Miranda, Una maggiorazione a-priori relitiva alle ipersuperfici minimali non-parametriche. Arch. Rational Mech. Anal. 32 (1969). · Zbl 0184.32803
[2] Giusti, E, Boundary behaviour of non-parametric minimal surfaces. Indiana University Math. Journal 22 (1972). · Zbl 0262.35020
[3] Ladyzhenskaya, O. A. & N. N. Ural’tseva, Local estimates for gradients of solutions of non-uniformly elliptic and parabolic equations Part II, pp. 687-703. Comm. Pure and Appl. Math. 23 (1970). · Zbl 0193.07202 · doi:10.1002/cpa.3160230409
[4] Michael, J. H. & L. M. Simon, Sobolev and mean-value inequalities on generalised submanifolds of ? n . Comm. Pure and Appl. Math. 26 (1973). · Zbl 0256.53006
[5] Moser, J., A new proof of DeGiorgi’s theorem concerning the regularity problem for elliptic differential equations. Comm. Pure and Appl. Math. 13 (1960). · Zbl 0111.09301
[6] Trudinger, N. S., A new proof of the interior gradient bound for the minimal surface equation in n-dimensions. Proc. Nat. Acad. Sci. USA 69 (1972). · Zbl 0231.53007
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.