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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
scan of Zbl 0508.35036

Cited in 1 Review
Cited in 139 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
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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) · Zbl 0162.24703
[2] Gilbarg, D.; Trudinger, N. S., Elliptic Partial Differential Equations of Second Order (1977), Springer-Verlag: Springer-Verlag New York · Zbl 0691.35001
[3] Ladyženskaja, O. A.; Ural’ceva, N. N., Linear and Quasilinear Elliptic Equations (1968), Academic Press: Academic Press New York · Zbl 0164.13002
[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, (Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov, 7 (1968)), 184-222, [in Russian]
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