References
[BL] C. Bandle and H. Leutwiler,On a quasilinear elliptic equation and a Riemannian metric invariant under Möbius transformations, to appear.
[BM1] C. Bandle and M. Marcus,Un théorème de comparaison pour un problème elliptique avec une non-linéarité singulière, C. R. Acad. Sci. Paris287 Série A (1978), 861–863.
[BM2] C. Bandle and M. Marcus,Sur les solutions maximales de problèmes elliptiques nonlinéaires: bornes isopérimétriques et comportement asymptoique, C. R. Acad. Sci. Paris311 Série I (1990), 91–93.
[K] J. B. Keller,On solutions of Δu=f(u), Comm. Pure Appl. Math. 10 (1957), 503–510.
[Ko] N. Korevaar,Convex solutions to nonlinear elliptic and parabolic boundary value problems, Indiana Univ. Math. J.32 (1983), 603–614.
[LN] C. Loewner and L. Nirenberg,Partial differential equations invariant under conformal or projective transformations, inContributions to Analysis, ed. L. Ahlfors, Academic Press, New York, 1974, pp. 245–272.
[O] R. Osserman,On the inequality Δu≥f(u), Pacific J. Math.7 (1957), 1641–1647.
[PS] L. E. Payne and I. Stackgold,Nonlinear problems in nuclear reactor analysis, Springer Lecture Notes in Math. #322 (1972), 298–301.
[S] R. Sperb,Maximum Principles and their Applications, Academic Press, New York, 1981.
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Dedicated to Professor Shmuel Agmon
The research of the second author was partially supported by the Fund for the Promotion of Research at the Technion.
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Bandle, C., Marcus, M. ‘Large’ solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour. J. Anal. Math. 58, 9–24 (1992). https://doi.org/10.1007/BF02790355
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DOI: https://doi.org/10.1007/BF02790355