Two equivariant problems of the form εΔu = ∇F(u) are considered, where F is a real function which is invariant under the action of a group G, and, using Morse theory, for each problem an arbitrarily great number of orbits ofsolutions is founded, choosing ε suitably small. The first problem is a O(2)-equivariant system of two equations, which can be seen as a complex Ginzburg-Landau equation, while the second one is a system of m equations which is equivariant for the action of a finite group of real orthogonal matrices m × m.
|Titolo:||Multiplicity results for two kinds of equivariant systems|
|Data di pubblicazione:||2004|
|Digital Object Identifier (DOI):||10.1016/j.na.2004.07.008|
|Appare nelle tipologie:||1.1 Articolo in rivista|