|
On nonlinear desingularization
Authors:
M. S. Berger and L. E. Fraenkel
Journal:
Bull. Amer. Math. Soc. 2 (1980), 165-167
MSC (1970):
Primary 39A15; Secondary 47D20
MathSciNet review:
551754
Full-text PDF
References |
Similar Articles |
Additional Information
- 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. MR 0422916
(54 #10901)
- 3.
A. Abrikosov, Soviet Physics JETP, 5, 1957, pp. 1174-1192.
- 4.
Stephen
L. Adler, Global structure of static Euclidean
𝑆𝑈(2) solutions, Phys. Rev. D (3) 20
(1979), no. 6, 1386–1411. MR 546383
(83c:81051), http://dx.doi.org/10.1103/PhysRevD.20.1386
- 5.
Bifurcation theory and nonlinear eigenvalue problems, Edited by
Joseph B. Keller and Stuart Antman, W. A. Benjamin, Inc., New
York-Amsterdam, 1969. MR 0241213
(39 #2555)
- 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. MR 616779
(82i:78012), http://dx.doi.org/10.1017/S0308210500020114
- 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. 32 (1974), 13-51. MR 422916
- 3.
- A. Abrikosov, Soviet Physics JETP, 5, 1957, pp. 1174-1192.
- 4.
- S. Adler, Global structure of static SU(2) solutions, Physical Rev. D 20 (1979), 1386-1411. MR 546383
- 5.
- M. S. Berger, A bifurcation theory for nonlinear elliptic partial differential equations. Bifurcation Theory (J. Keller and S. Antman), Benjamin, New York, 1969, pp. 113-216. MR 241213
- 6.
- L. E. Fraenkel, On Steiner symmetrization and a lower bound for electrostatic capacity in the plane (to appear). MR 616779
Similar Articles
Retrieve articles in Bulletin of the American Mathematical Society
with MSC (1970):
39A15,
47D20
Retrieve articles in all journals
with MSC (1970):
39A15,
47D20
Additional Information
DOI:
http://dx.doi.org/10.1090/S0273-0979-1980-14704-7
PII:
S 0273-0979(1980)14704-7
|
