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On the bifurcation theory of the Ginzburg--Landau equations.
- Source :
-
Proceedings of the American Mathematical Society . Feb2024, Vol. 152 Issue 2, p653-664. 12p. - Publication Year :
- 2024
-
Abstract
- We construct nonminimal and irreducible solutions to the Ginzburg–Landau equations on closed manifolds of arbitrary dimension with trivial first real cohomology. Our method uses bifurcation theory where the "bifurcation points" are characterized by the eigenvalues of a Laplace-type operator. To our knowledge these are the first such examples on nontrivial line bundles. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EQUATIONS
*BIFURCATION theory
*EIGENVALUES
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 152
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 174558678
- Full Text :
- https://doi.org/10.1090/proc/16510