×
Piccinini, Livio C.; Spagnolo, Sergio

On the Hölder continuity of solutions of second order elliptic equations in two variables. (English) Zbl 0237.35028

Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 26, 391-402 (1972).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0237.35028

Cited in 29 Documents

MSC:

35J15 Second-order elliptic equations
35D10 Regularity of generalized solutions of PDE (MSC2000)
PDF BibTeX XML Cite
\textit{L. C. Piccinini} and \textit{S. Spagnolo}, Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 26, 391--402 (1972; Zbl 0237.35028)
Full Text: Numdam EuDML

References:

[1] Campanato S. , : Proprietà di hölderianità di alcune classi di funzioni . Ann. Sc. Norm. Sup. Pisa ; 17 , 175 - 188 ( 1963 ). Numdam | MR 156188 | Zbl 0121.29201 · Zbl 0121.29201
[2] De Giorgi E. : Sulla differenziabilità e l’analiticità delle estayeniali degli integrali multipli regolari . Mem. Acc. Sc. Torino , ser. 3 , 25 - 42 ( 1957 ). Zbl 0084.31901 · Zbl 0084.31901
[3] Hardy - Littlewood - Polya : IncquaLities . Cambrielge University Press ( 1934 ). JFM 60.0169.01 · JFM 60.0169.01
[4] Meyers N.G. : An Lp-estimate for the gradient of solutions of second order elliptic divergence equations ). Ann. Sc. Norm. Sup. Pisa , 17 , 189 - 206 ( 1963 ]. Numdam | MR 159110 | Zbl 0127.31904 · Zbl 0127.31904
[5] Morrey C.B. : On the solution of quasi-linear elliptic partial differential equations >> . Trans. Am. Math. Soc. , 43 , 126 - 166 ( 1938 ). MR 1501936 | Zbl 0018.40501 | JFM 64.0460.02 · Zbl 0018.40501
[6] Morrev C.B. : << Multiple Integral Problem in the Calculus of Variations and related Topics . Univ. of Calif. Publ. 1 ( 1943 ). Zbl 0063.04107 · Zbl 0063.04107
[7] Moser J. : A new proof of De Giorgi’s theorem concerning the Regularity Problem for elliptic Partial Differential Equations , Comm. Pure a. Appl. Math. 13 , 457 - 468 ( 1960 ). MR 170091 | Zbl 0111.09301 · Zbl 0111.09301
[8] Spagnolo S. : Sulla convergenza di sotuzioni di equazioni pat-aboliche ed ellzttiche . Ann. Scu. Norm. Sup. Pisa , 22 , 571 - 597 ( 1968 ). Numdam | MR 240443 | Zbl 0174.42101 · Zbl 0174.42101
[9] Stampacchia G. : The spaces Lp, \lambda , Np, \lambda and interpolation . Ann. Sou. Norm. Sup. Pisa , 19 , 443 - 462 ( 1965 ). Numdam | Zbl 0149.09202 · Zbl 0149.09202
[10] Widman K. O. : On the Hölder continuity of Solutions of Elliptic Partial Differential Equatvons in two Variables with coefficients in L\infty . Comm. Pure Appl. Math. , 22 , 669 - 682 ( 1969 ). Zbl 0183.11001 · Zbl 0183.11001
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.