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Zur Existenz ganzer Lösungen der Differentialgleichung \(\Delta^p u=e^u\). (German) Zbl 0087.09602

MSC:
35B08 Entire solutions to PDEs
35J60 Nonlinear elliptic equations
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[1] E. K. Haviland, A note on unrestricted solutions of the differential equation{\(\Delta\)}u = f(u). J. London math. Soc.26, 210–214 (1951). · Zbl 0043.10203
[2] W. Walter, Über ganze Lösungen der Differentialgleichung{\(\Delta\)}u-f(u). J.-Ber. Deutsch. Math. Verein.57, 94–102 (1955). · Zbl 0066.34402
[3] W. Walter, Mittelwertsätze und ihre Verwendung zur Lösung von Randwertaufgaben. J.-Ber. Deutsch. Math. Verein.59, 93–131 (1957). · Zbl 0077.09703
[4] W. Walter, Ganze Lösungen der Differentialgleichung{\(\Delta\)}Pu = f(u). Math. Z.67, 32–37 (1957). · Zbl 0077.30303
[5] H. Wittich, Ganze Lösungen der Differentialgleichung{\(\Delta\)}u = e u . Math. Z.49, 579–582 (1943/44). · Zbl 0028.41001
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