On the continuation of solutions for elliptic equations in two variables

Frank Müller

Annales de l'I.H.P. Analyse non linéaire (2002)

  • Volume: 19, Issue: 6, page 745-776
  • ISSN: 0294-1449

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Müller, Frank. "On the continuation of solutions for elliptic equations in two variables." Annales de l'I.H.P. Analyse non linéaire 19.6 (2002): 745-776. <http://eudml.org/doc/78561>.

@article{Müller2002,
author = {Müller, Frank},
journal = {Annales de l'I.H.P. Analyse non linéaire},
language = {eng},
number = {6},
pages = {745-776},
publisher = {Elsevier},
title = {On the continuation of solutions for elliptic equations in two variables},
url = {http://eudml.org/doc/78561},
volume = {19},
year = {2002},
}

TY - JOUR
AU - Müller, Frank
TI - On the continuation of solutions for elliptic equations in two variables
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2002
PB - Elsevier
VL - 19
IS - 6
SP - 745
EP - 776
LA - eng
UR - http://eudml.org/doc/78561
ER -

References

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  9. [9] Hopf E., Über den funktionalen, insbesondere den analytischen Charakter der Lösungen elliptischer Differentialgleichungen zweiter Ordnung, Math. Z.34 (1931) 194-233. Zbl0002.34003MR1545250JFM57.0556.01
  10. [10] Lewy H., Neuer Beweis des analytischen Charakters der Lösungen elliptischer Differentialgleichungen, Math. Ann.101 (1929) 609-619. Zbl55.0882.03MR1512557JFM55.0882.03
  11. [11] Lewy H., On minimal surfaces with partially free boundary, Comm. Pure Appl. Math.4 (1951) 1-13. MR52711
  12. [12] Morrey C.B., Multiple Integrals in the Calculus of Variations, Springer, Berlin, 1966. Zbl0142.38701MR202511
  13. [13] F. Müller, Analyticity of solutions for semilinear elliptic systems of second order, Calc. Var. Partial Differentials Equuations, to appear. Zbl1006.35028MR1930250
  14. [14] Nirenberg L., On non-linear elliptic partial differential equations and Hölder continuity, Comm. Pure Appl. Math.6 (1953) 103-156. Zbl0050.09801
  15. [15] Sauvigny F., Introduction of isothermal parameters into a Riemannian metric by the continuity method, Analysis19 (1999) 235-243. Zbl0936.35046MR1715172
  16. [16] Schulz F., Regularity Theory for Quasilinear Elliptic Systems Monge–Ampère Equations in Two Dimensions, Springer, Berlin, 1990. Zbl0709.35038MR1079936

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