## On solutions of $$\Delta u=f(u)$$.(English)Zbl 0090.31801

### Keywords:

partial differential equations
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### References:

 [1] Wittich, Math. Z. 49 pp 579– (1944) [2] Haviland, J. London Math. Soc. 26 pp 210– (1951) [3] Bieberbach, Math. Ann. 77 pp 173– (1916) [4] and , Die Differential- und Integralgleichungen der Mechanik und Physik, I, Second Edit., Rosenberg, New York, 1943. [5] Electrohydrodynamics I. The equilibrium of a charged gas in a container, Research Report No. MH-1 Division of Electromagnetic Research, Institute of Mathematical Sciences, New York University, January 1955, and [6] J. Rational Mech. Analysis 5 pp 715– (1956) [7] Einige besondere Probleme partieller Differentialgleichungen, see [4] pp. 838–845. [8] Walter, Jber. Deutsch Math. Verein 57 pp 94– (1955) [9] On a differential inequality and conformal mapping of surfaces, Appl. Math. Stat. Lab., Stanford University, December, 1956. [10] Redheffer, Bull. Amer. Math. Soc 62 pp 408– (1956)
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