seminar: Equivariant Elliptic Systems with Variational Structure
speaker: Nicholas D. Alikakos (University of Athens)abstract: In recent years, several papers have appeared dealing with various kinds of entire solutions for semilinear elliptic equations and systems equivariant under a suitable reflection group G. The first result of this kind is probably the saddle solution found by Dang, Fife, and Peletier. More recent works are the triple junction solutions on the plane , constructed by Bronsard ,Gui and Schatzman, and the quadruple junction in 3-space in the recent preprint of Gui and Schatzman. In this lectures we will consider the system Lu- gradW(u)=0, u: Rn to Rn, L is the Laplacian, and W:Rn to R, is the potential. For a wide class of potentials which are invariant under a general finite reflection group we will establish existence of nontrivial equivariant entire solutions to the system above. This is joint work with Giorgio Fusco.
timetable:
Wed 28 May, 10:00 - 11:00, Aula Dini
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