On the nonlinear equations $\Delta u + e^u = 0$ and $\partial v/\partial t = \Delta v + e^v$
Author:
Hiroshi Fujita
Journal:
Bull. Amer. Math. Soc. 75 (1969), 132-135
DOI:
https://doi.org/10.1090/S0002-9904-1969-12175-0
MathSciNet review:
0239258
Full-text PDF Free Access
References | Additional Information
- 1. R. Courant and D. Hilbert, Methods of mathematical physics. Vol. 2, Interscience, New York, 1962.
- 2. I. M. Gel′fand, Some problems in the theory of quasi-linear equations, Uspehi Mat. Nauk 14 (1959), no. 2 (86), 87–158 (Russian). MR 0110868
- 3. Eberhard Hopf, A remark on linear elliptic differential equations of second order, Proc. Amer. Math. Soc. 3 (1952), 791–793. MR 50126, https://doi.org/10.1090/S0002-9939-1952-0050126-X
- 4. Tosio Kato, On the upper and lower bounds of eigenvalues, J. Phys. Soc. Japan 4 (1949), 334–339. MR 38738, https://doi.org/10.1143/JPSJ.4.334
Additional Information
DOI:
https://doi.org/10.1090/S0002-9904-1969-12175-0
