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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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[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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