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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11589/9340
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