On the Hölder continuity of solutions of second order elliptic equations in two variables

L. C. Piccinini; S. Spagnolo

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1972)

  • Volume: 26, Issue: 2, page 391-402
  • ISSN: 0391-173X

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Piccinini, L. C., and Spagnolo, S.. "On the Hölder continuity of solutions of second order elliptic equations in two variables." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 26.2 (1972): 391-402. <http://eudml.org/doc/83599>.

@article{Piccinini1972,
author = {Piccinini, L. C., Spagnolo, S.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {2},
pages = {391-402},
publisher = {Scuola normale superiore},
title = {On the Hölder continuity of solutions of second order elliptic equations in two variables},
url = {http://eudml.org/doc/83599},
volume = {26},
year = {1972},
}

TY - JOUR
AU - Piccinini, L. C.
AU - Spagnolo, S.
TI - On the Hölder continuity of solutions of second order elliptic equations in two variables
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1972
PB - Scuola normale superiore
VL - 26
IS - 2
SP - 391
EP - 402
LA - eng
UR - http://eudml.org/doc/83599
ER -

References

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  1. [1] Campanato S., : « Proprietà di hölderianità di alcune classi di funzioni». Ann. Sc. Norm. Sup. Pisa; 17, 175-188 (1963). Zbl0121.29201MR156188
  2. [2] De Giorgi E.: « Sulla differenziabilità e l'analiticità delle estayeniali degli integrali multipli regolari ». Mem. Acc. Sc. Torino, ser. 3, 25-42 (1957). Zbl0084.31901
  3. [3] Hardy- Littlewood- Polya: « IncquaLities ». Cambrielge University Press (1934). JFM60.0169.01
  4. [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]. Zbl0127.31904MR159110
  5. [5] Morrey C.B.: « On the solution of quasi-linear elliptic partial differential equations &gt;&gt;. Trans. Am. Math. Soc., 43, 126-166 (1938). Zbl0018.40501MR1501936JFM64.0460.02
  6. [6] Morrev C.B.: &lt;&lt; Multiple Integral Problem in the Calculus of Variations and related Topics ». Univ. of Calif. Publ.1 (1943). Zbl0063.04107
  7. [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). Zbl0111.09301MR170091
  8. [8] Spagnolo S.: « Sulla convergenza di sotuzioni di equazioni pat-aboliche ed ellzttiche ». Ann. Scu. Norm. Sup. Pisa, 22, 571-597 (1968). Zbl0174.42101MR240443
  9. [9] Stampacchia G.: « The spaces Lp, λ, Np, λ and interpolation ». Ann. Sou. Norm. Sup. Pisa, 19, 443-462 (1965). Zbl0149.09202
  10. [10] Widman K. O.: « On the Hölder continuity of Solutions of Elliptic Partial Differential Equatvons in two Variables with coefficients in L∞ ». Comm. Pure Appl. Math., 22, 669-682 (1969). Zbl0183.11001

Citations in EuDML Documents

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  1. Tonia Ricciardi, A sharp weighted Wirtinger inequality
  2. Jani Onninen, Xiao Zhong, Continuity of solutions of linear, degenerate elliptic equations
  3. Livio C. Piccinini, Sergio Spagnolo, Una valutazione della regolarità delle soluzioni di sistemi ellittici variazionali in due variabili
  4. Daniel Faraco, Milton's conjecture on the regularity of solutions to isotropic equations
  5. Kari Astala, Daniel Faraco, László Székelyhidi Jr., Convex integration and the L p theory of elliptic equations
  6. Maria Rosaria Formica, Carlo Sbordone, On the G -convergence of Morrey operators
  7. Albert Baernstein II, Leonid V. Kovalev, On Hölder regularity for elliptic equations of non-divergence type in the plane
  8. Giuseppe Mingione, Regularity of minima: an invitation to the Dark Side of the Calculus of Variations

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