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Isolated singularities in semilinear problems. (English) Zbl 0458.35033


MSC:

35J60 Nonlinear elliptic equations
35A20 Analyticity in context of PDEs
Full Text: DOI

References:

[1] Amann, H., Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces, SIAM Rev., 18, 620-709 (1976) · Zbl 0345.47044
[2] Amann, H., Supersolutions, monotone iterations, and stability, J. Differential Equations, 21, 363-377 (1976) · Zbl 0319.35039
[3] Bramberoer, A., Étude de deux équations non linéaires avec une masse de Dirac au second membre, (Rapport No. 13 (October 1976), École Polytechnique)
[4] Bandle, C., Existence theorems, qualitative results and a priori bounds for a class of nonlinear Dirichlet problems, Arch. Rational Mech. Anal., 58, 219-238 (1975) · Zbl 0335.35046
[9] Crandall, M. G.; Rabinowitz, P. H., Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems, Arch. Rational Mech. Anal., 58, 207-218 (1975) · Zbl 0309.35057
[11] Keller, H. B.; Cohen, D. S., Some positive problems suggested by nonlinear heat generation, J. Math. Mech., 16, 1361-1376 (1976) · Zbl 0152.10401
[12] Loewner, C.; Nirenberg, L., Partial differential equations invariant under conformal or projective transformations, (Contributions to Analysis (1974), Academic Press: Academic Press New York/London), 245-272 · Zbl 0298.35018
[13] Uhlenbeck, K. K., Removable singularities in Yang-Mills fields, Bull. Amer. Math. Soc., 1, 579-581 (1979) · Zbl 0416.35026
[14] Veron, L., Solutions singulières d’équations elliptiques semilinéaires, C.R. Acad. Sci. Paris, 288, 867-869 (1979) · Zbl 0404.35044
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