@article{AIHPC_2002__19_6_745_0, author = {M\"uller, Frank}, title = {On the continuation of solutions for elliptic equations in two variables}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {745--776}, publisher = {Elsevier}, volume = {19}, number = {6}, year = {2002}, mrnumber = {1939085}, zbl = {1090.35051}, language = {en}, url = {http://archive.numdam.org/item/AIHPC_2002__19_6_745_0/} }
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 SP - 745 EP - 776 VL - 19 IS - 6 PB - Elsevier UR - http://archive.numdam.org/item/AIHPC_2002__19_6_745_0/ LA - en ID - AIHPC_2002__19_6_745_0 ER -
Müller, Frank. On the continuation of solutions for elliptic equations in two variables. Annales de l'I.H.P. Analyse non linéaire, Volume 19 (2002) no. 6, pp. 745-776. http://archive.numdam.org/item/AIHPC_2002__19_6_745_0/
[1] Methods of Mathematical Physics II, Wiley, New York, 1989. | MR | Zbl
, ,[2] Equilibrium Capillary Surfaces, Springer, New York, 1986. | MR | Zbl
,[3] On the regularity of the solutions of nonlinear elliptic and parabolic systems of partial differential equations, J. Math. Mech. 7 (1958) 43-59. | MR | Zbl
,[4] Partial Differential Equations, Chelsea, New York, 1989. | MR | Zbl
,[5] Einführung in die Funktionentheorie mehrerer Veränderlicher, Springer, Berlin, 1974. | MR | Zbl
, ,[6] Elliptic Partial Differential Equations of Second Order, Springer, Berlin, 1983. | MR | Zbl
, ,[7] Über das Randverhalten quasilinearer elliptischer Systeme mit isothermen Parametern, Math. Z. 113 (1970) 99-105. | MR | Zbl
,[8] Lokale Abschätzungen und Randverhalten von Lösungen elliptischer Monge-Ampèrescher Gleichungen, J. Reine Angew. Math. 438 (1993) 1-29. | MR | Zbl
,[9] Über den funktionalen, insbesondere den analytischen Charakter der Lösungen elliptischer Differentialgleichungen zweiter Ordnung, Math. Z. 34 (1931) 194-233. | JFM | MR
,[10] Neuer Beweis des analytischen Charakters der Lösungen elliptischer Differentialgleichungen, Math. Ann. 101 (1929) 609-619. | JFM | MR
,[11] On minimal surfaces with partially free boundary, Comm. Pure Appl. Math. 4 (1951) 1-13. | MR
,[12] Multiple Integrals in the Calculus of Variations, Springer, Berlin, 1966. | MR | Zbl
,[13] F. Müller, Analyticity of solutions for semilinear elliptic systems of second order, Calc. Var. Partial Differentials Equuations, to appear. | MR | Zbl
[14] On non-linear elliptic partial differential equations and Hölder continuity, Comm. Pure Appl. Math. 6 (1953) 103-156. | Zbl
,[15] Introduction of isothermal parameters into a Riemannian metric by the continuity method, Analysis 19 (1999) 235-243. | MR | Zbl
,[16] Regularity Theory for Quasilinear Elliptic Systems Monge-Ampère Equations in Two Dimensions, Springer, Berlin, 1990. | MR | Zbl
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