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 / Vannella, Giuseppina. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 59:3(2004), pp. 283-304. [10.1016/j.na.2004.07.008]
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
