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Dziuk, Gerhard

Das Verhalten von Lösungen semilinearer elliptischer Systeme an Ecken eines Gebietes. (German) Zbl 0375.35025

Math. Z. 159, 89-100 (1978).
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Cited in 5 Documents

MSC:

35J60 Nonlinear elliptic equations
35D10 Regularity of generalized solutions of PDE (MSC2000)
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\textit{G. Dziuk}, Math. Z. 159, 89--100 (1978; Zbl 0375.35025)
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References:

[1] Agmon, S., Douglis, A., Nirenberg, L.: Estimates Near the Boundary for Solutions of Elliptic Partial Differential Equations Satisfying General Boundary Conditions I. Commun. pure appl. Math.17, 623-727 (1959) · Zbl 0093.10401
[2] Grisvard, P.: Behavior of the Solutions of an Elliptic Boundary Value Problem in a Polygonal or Polyhedral Domain. In: Numerical Solution of Partial Differential Equations, Vol. III, pp. 207-274. New York-San Francisco-London: Academic Press 1976 · Zbl 0361.35022
[3] Heinz, E.: On Certain Nonlinear Elliptic Differential Equations and Univalent Mappings. J. Analyse math.5, 197-272 (1956/57) · Zbl 0085.08701
[4] Hellwig, G.: Partial Differential Equations. New York-Toronto-London: Blaisdell 1964 · Zbl 0133.35701
[5] Kellogg, O. D.: On the Derivatives of Harmonic Functions on the Boundary. Trans. Amer. math. Soc.33, 486-510 (1931) · Zbl 0002.02702
[6] Volkov, E. A.: On the Differential Properties of Solutions of Boundary Value Problems for the Laplace Equation on a Polygon. Trudy mat. Inst. Steklov77, 113-142 (1965) und Proc. Steklov Inst. Math.77, 127-159 (1967) · Zbl 0162.16701
[7] Wigley, N. M.: Mixed Boundary Value Problems in Plane Domains with Corners. Math. Z.115, 33-52 (1970) · Zbl 0189.10802
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