References
Ahlfors, L. V., & L. Bers, Riemann's mapping theorem for variable metrics. Ann. of Math. 72, 385–404 (1960).
Bergman, S., & M. Schiffer, Kernel functions and conformal mapping. Compositio Math. 8, 205–249 (1951).
Blumenfeld, J., & W. Mayer, Über Poincarésche Fundamentalfunktionen. Sitz. Wien. Akad. Wiss., Math.-Nat. Klasse 122, Abt. IIa, 2011–2047 (1914).
Lehto, O., & K. I. Virtanen, Quasikonforme Abbildungen. Berlin-Heidelberg-New York: Springer 1965.
Schiffer, M., The Fredholm eigenvalues of plane domains. Pacific J. Math. 7, 1187–1225 (1957).
Schiffer, M., Fredholm eigenvalues and conformal mapping. Rend. Mat. 22, 447–468 (1963).
Schiffer, M., A variational method for univalent quasiconformal mappings. Duke Math. J. 33, 395–412 (1966).
Schober, G., Continuity of curve functionals and a technique involving quasiconformal mapping. Arch. Rational Mech. Anal. 29, 378–389 (1968).
Schober, G., Semicontinuity of curve functionals. Arch. Rational Mech. Anal. 33, 374–376 (1969).
Springer, G., Fredholm eigenvalues and quasiconformal mapping. Acta. Math. 111, 121–141 (1964).
Warschawski, S. E., On the solution of the Lichtenstein-Gershgorin integral equation in conformai mapping: I. Theory. Nat. Bur. Standards Appl. Math. Ser. 42, 7–29 (1955).
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This work was supported in part by Air Force contract F 44620-69-C-0106 and National Science Foundation grants GP 16115 and GP 19694.
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Schiffer, M., Schober, G. An extremal problem for the Fredholm eigenvalues. Arch. Rational Mech. Anal. 44, 83–92 (1971). https://doi.org/10.1007/BF00281811
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DOI: https://doi.org/10.1007/BF00281811