Estimation à priori des solutions faibles de certains systèmes non linéaires elliptiques

M. Giaquinta; S. Hildebrandt

Séminaire Équations aux dérivées partielles (Polytechnique) (1980-1981)

  • page 1-19

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Giaquinta, M., and Hildebrandt, S.. "Estimation à priori des solutions faibles de certains systèmes non linéaires elliptiques." Séminaire Équations aux dérivées partielles (Polytechnique) (1980-1981): 1-19. <http://eudml.org/doc/111776>.

@article{Giaquinta1980-1981,
author = {Giaquinta, M., Hildebrandt, S.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {interior regularity result; quasilinear elliptic systems; Hölder continuity of weak solutions; a priori estimate of the Hölderian semi- norm; Green functions; uniformly elliptic operators},
language = {fre},
pages = {1-19},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Estimation à priori des solutions faibles de certains systèmes non linéaires elliptiques},
url = {http://eudml.org/doc/111776},
year = {1980-1981},
}

TY - JOUR
AU - Giaquinta, M.
AU - Hildebrandt, S.
TI - Estimation à priori des solutions faibles de certains systèmes non linéaires elliptiques
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1980-1981
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 19
LA - fre
KW - interior regularity result; quasilinear elliptic systems; Hölder continuity of weak solutions; a priori estimate of the Hölderian semi- norm; Green functions; uniformly elliptic operators
UR - http://eudml.org/doc/111776
ER -

References

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  1. [1] M. Giaquinta and Enrico Giusti: On the regularity of the minima of variational integrals (à paraître). Zbl0494.49031
  2. [2] M. Grüter and K.-O. Widman: The Green function for uniformly elliptic équations, (à paraître). Zbl0485.35031
  3. [3] S. Hildebrandt: Nonlinear elliptic systems and harmonic mappings. Proc. Beijing Symposium on Differential Geometry and Differential equations 1980. Science Press, Beijing, China (à paraître). Zbl0515.58012MR714341
  4. [4] S. Hildebrandt and K.-O. Widman: Some regularity for quasilinear elliptic systems of second order. Math. Z.142, 67-86 (1975). Zbl0317.35040MR377273
  5. [5] S. Hildebrandt and K.-O. Widman: On the Hölder continuity of weak solutions of quasilinear elliptic systems of second order. Ann. Scuola Norm. Sup. Pisa (IV), 4, 145-178 (1977). Zbl0353.35013MR457936
  6. [6] S. Hildebrandt and K.-O. Widman: Sätze vom Liouvilleschen Typ für quasilineare elliptische Gleichungen und Systeme. Nachr. Akad. Wiss.Göttingen, II. Math.-Phys. Klasse, Nr.4, 41-59,Jahrgang 1979. Zbl0426.35037MR568802
  7. [7] S. Hildebrandt, H. Kaul, and K.-O. Widman: An existence theorem for harmonic mappings of Riemannian manifolds. Acta Math.138, 1-16 (1977). Zbl0356.53015MR433502
  8. [8] S. Hildebrandt, J. Jost, and K.-O. Widman: Harmonic mappings and minimal submanifolds. Inventiones math.62, 269-298 (1980). Zbl0446.58006MR595589
  9. [9] P.A. Ivert: On quasilinear elliptic systems in diagonal form. Math. Z.170, 283-286 (1980). Zbl0411.35006MR564207
  10. [10] W. Littman, G. Stampacchia, and H.F. Weinberger: Regular points for elliptic equations with discontinuous coefficients. Ann. Scuola Norm. Sup. Pisa, Sci. fis. mat.III. Ser. 17, 43-77 (1963), Zbl0116.30302MR161019
  11. [11] J. Moser: On Harnack's theorem for elliptic differential equations. Comm. Pure Appl. Math.14, 577 - 591 (1961). Zbl0111.09302MR159138
  12. [12] K.-O. Widman: The singularity of the Green function for non-uniformly elliptic partial differential equations with discontinuous coefficients. PreprintUppsala University (1970). 
  13. [13] M. Wiegner: Ein optimaler Regularitätssatz für schwache Lösungen gewisser elliptischer Systeme. Math. Z.147, 21-28 (1976). Zbl0316.35039MR407430
  14. [14] M. Wiegner: A-priori Schranken für Lösungen gewisser elliptischer Systeme. Manuscripta math18, 279-297 (1976). Zbl0323.35032MR402272

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