Spherically symmetric entire solutions of $\Delta ^{p}u=f(u)$
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- by H. Rhee PDF
- Proc. Amer. Math. Soc. 69 (1978), 355-356 Request permission
Abstract:
A sufficient condition is given for existence of spherically symmetric entire solutions of the equation ${\Delta ^p}u = f(u),p \geqslant 2$.References
- J. B. Keller, On solutions of $\Delta u=f(u)$, Comm. Pure Appl. Math. 10 (1957), 503β510. MR 91407, DOI 10.1002/cpa.3160100402
- Robert Osserman, On the inequality $\Delta u\geq f(u)$, Pacific J. Math. 7 (1957), 1641β1647. MR 98239
- Wolfgang Walter, Zur Existenz ganzer LΓΆsungen der Differentialgleichung $\Delta ^{p}u=e^{u}$, Arch. Math. (Basel) 9 (1958), 308β312 (German). MR 97623, DOI 10.1007/BF01900595
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 69 (1978), 355-356
- MSC: Primary 35J60
- DOI: https://doi.org/10.1090/S0002-9939-1978-0481494-0
- MathSciNet review: 0481494