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Publications

Diploma thesis The theorem of Faber-Krahn for Dirichlet domains in n dimensions.
Dissertation Innere Abschätzungen für Lösungen nichtlinearer elliptischer Differentialgleichungen zweiter Ordnung in n Variablen.
Habilitation thesis Über nichtlineare, konkave elliptische Differentialgleichungen.
Other publications Innere Abschätzungen für Lösungen nichtlinearer elliptischer Differentialgleichungen zweiter Ordnung in n Variablen.
Math. Z. 169, 13-22 (1979)

Über die Beschränktheit der zweiten Ableitungen der Lösungen nichtlinearer elliptischer Differentialgleichungen.
Math. Z. 175, 181-188 (1980)

Über elliptische Monge-Amperesche Differentialgleichungen mit einer Bemerkung zum Weylschen Einbettungsproblem.
Nachr. Akad. Wiss. Göttingen, II. Math.-Phys. Kl. 1981, 93-108 (1981)

Über die Differentialgleichung rt-s^2=f und das Weylsche Einbettungsproblem.
Math. Z. 179, 1-10 (1982)

A priori estimates and a Liouville theorem for elliptic Monge-Ampere equations.
Math. Ann. 264, 475-483 (1983)

A C^2-estimate for solutions of complex Monge-Ampere equations.
J. Reine Angew. Math. 348, 88-93 (1984)

(with D. Riebesehl) A priori estimates and a Liouville theorem for complex Monge-Ampere equations.
Math. Z. 186, 57-66 (1984)

Boundary estimates for solutions of Monge-Ampere equations in the plane.
Ann. Scuola Norm. Super. Pisa, Cl. Sci., IV. Ser. 11, 431-440 (1984)

A remark on fully nonlinear, concave elliptic equations. In: Miniconference on Nonlinear Analysis (Canberra, July 5-7,1984).
Proc. Centre Math. Anal. Australian Nat. Univ. 8, 202-207 (1984)

Über nichtlineare, konkave elliptische Differentialgleichungen.
Habilitationsschrift, Georg-August-University, Göttingen 1985. In: Math. Gottingensis 21, 1-44 (1985)

A priori estimates for solutions of Monge-Ampere equations.
Arch. Ration. Mech. Anal. 89, 123-133 (1985)

Über nichtlineare, konkave elliptische Differentialgleichungen.
Math. Z. 191, 429-448 (1986)

(with G. Williams) Barriers and existence results for a class of equations of mean curvature type.
Analysis 7, 359-374 (1987)

(with L.-Y. Liao) Regularity of solutions of two-dimensional Monge-Ampere equations.
Trans. Amer. Math. Soc. 307, 271-277 (1988)

Univalent solutions of elliptic systems of Heinz-Lewy type.
Ann. Inst. Henri Poincare, Anal. Non Lineaire 6, 347-361 (1989)

Lecture notes on regularity theory for quasilinear elliptic systems and Monge-Ampere equations in two dimensions.
EPSCoR Preprint Series, 175 + XV pages, Lexington: University of Kentucky 1989

Regularity for certain quasilinear elliptic systems of divergence structure.
Indiana Univ. Math. J. 39, 303-314 (1990)

Regularity theory for quasilinear elliptic systems and Monge-Ampere equations in two dimensions.
Lect. Notes Math. 1445, 123 + XV pages, Berlin-Heidelberg-New York-London-Paris-Tokyo-HongKong-Barcelona: Springer 1990

Regularity of locally convex surfaces.
Bull. Austr. Math. Soc. 42, 487-497(1990)

Second derivative estimates for solutions of two-dimensional Monge-Ampere equations.
Proc. Amer. Math. Soc. 111, 101-110 (1991)

(with N.P. Cac) Multiple solutions for a class of semilinear Dirichlet problems.
Houston J. Math. 17, 71-81 (1991)

Boundary regularity for certain quasilinear elliptic systems of divergence structure.
Manuscripta Math. 77, 1-16 (1992)

(with V. Vera-de-Serio) Symmetrization with respect to a measure.
Trans. Amer. Math. Soc. 337, 195-210 (1993)

Boundary regularity for certain fully nonlinear elliptic equations.
J. Reine Angew. Math. 438, 87-102 (1993)

Asymptotic expansions for solutions of elliptic differential inequalities.
Analysis 14, 139-145 (1994)

(with J. Chen und W. Han) A regularization method for coefficient identification of a non-homogeneous Helmholtz equation.
Inverse Problems 10, 1115-1121 (1994)

(with F. Potra) English translation of P.Deuflhard and A.Hohmann's book: Numerical Analysis.
335 + XIII pages, Berlin-New York: Walter de Gruyter 1995

(with L. Wang) Isolated singularities of Monge-Ampere equations.
Proc. Amer. Math. Soc. 123, 3705-3708 (1995)

(with J. Chen und W. Han) An asymptotic regularization method for coefficient identification of a generalized non-homogeneous Helmholtz equation.
Japan J. Industr. Appl. Math. 13, 1-23 (1996)

On the unique continuation property of elliptic divergence form equations in the plane.
Math. Z. 228, 201-206, (1998)