Berger, M. S.; Fraenkel, L. E. On nonlinear desingularization. (English) Zbl 0432.35015 Bull. Am. Math. Soc., New Ser. 2, 165-167 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 Documents MSC: 35B32 Bifurcations in context of PDEs 35R35 Free boundary problems for PDEs 35J65 Nonlinear boundary value problems for linear elliptic equations 35J70 Degenerate elliptic equations Keywords:nonlinear desingularization; nonlinear elliptic partial differential equations; linear boundary value problem; isolated singularities; degeneration; theoretical physics; bifurcation phenomenon PDF BibTeX XML Cite \textit{M. S. Berger} and \textit{L. E. Fraenkel}, Bull. Am. Math. Soc., New Ser. 2, 165--167 (1980; Zbl 0432.35015) Full Text: DOI References: [1] H. Helmholtz, On integrals of the hydrodynamical equations which express vortex motion, Crelle’s J. 55 (1858), 25-55. [2] L. E. Fraenkel and M. S. Berger, A global theory of steady vortex rings in an ideal fluid, Acta Math. 132 (1974), 13 – 51. · Zbl 0282.76014 · doi:10.1007/BF02392107 · doi.org [3] A. Abrikosov, Soviet Physics JETP, 5, 1957, pp. 1174-1192. [4] Stephen L. Adler, Global structure of static Euclidean \?\?(2) solutions, Phys. Rev. D (3) 20 (1979), no. 6, 1386 – 1411. · doi:10.1103/PhysRevD.20.1386 · doi.org [5] Bifurcation theory and nonlinear eigenvalue problems, Edited by Joseph B. Keller and Stuart Antman, W. A. Benjamin, Inc., New York-Amsterdam, 1969. [6] L. E. Fraenkel, A lower bound for electrostatic capacity in the plane, Proc. Roy. Soc. Edinburgh Sect. A 88 (1981), no. 3-4, 267 – 273. · Zbl 0466.31007 · doi:10.1017/S0308210500020114 · doi.org This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.