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Uniqueness of non-negative solutions of semilinear equations in $${\mathbb{R}}^ n$$. (English) Zbl 0577.35035
See the preview in Zbl 0549.35044.

##### MSC:
 35J60 Nonlinear elliptic equations 35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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##### References:
 [1] Benilan, Ph.; Brezis, H.; Crandall, M.G., A semilinear elliptic equation in L1($$R$$N), Ann. scuola norm sup. Pisa, 2, 523-555, (1975) · Zbl 0314.35077 [2] Gidas, B.; Ni, W.-M.; Nirenberg, L., Symmetry and related properties via the maximum principle, Comm. math. phys., 68, 209-243, (1979) · Zbl 0425.35020 [3] Gidas, B.; Ni, W.-M.; Nirenberg, L., Symmetry of positive solutions nonlinear elliptic equations in $$R$$^{n}, Math. anal. appl. adv. in math. suppl. stud., 7A, 369-402, (1981) [4] Gurtin, M.E.; MacCamy, R.C., On the diffusion of biological populations, Math. biosci., 33, 35-49, (1977) · Zbl 0362.92007 [5] McLeod, K.; Serrin, J., Uniqueness of the ground state solution for δu + f(u) = 0, (), 6592-6595 · Zbl 0474.35047 [6] Peletier, L.A.; Serrin, J., Uniqueness of positive solutions of semilinear equations in $$R$$^{n}, Arch. rational mech. anal., 81, 181-197, (1983) · Zbl 0516.35031
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