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.
Multiplicity results for two kinds of equivariant systems
Giuseppina Vannella
2004-01-01
Abstract
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.File in questo prodotto:
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