We consider a scalar field equation on compact surfaces which has variational structure. When the surface is a torus and a physical parameter belongs to (8\pi,4\pi^2) we show under some extra assumptions that, besides a local minimum, the functional admits at least other two saddle points.
Multiplicity Result for a Scalar Field Equation on Compact Surfaces / DE MARCHIS, Francesca. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - STAMPA. - 33:12(2008), pp. 2208-2224. [10.1080/03605300802523446]
Multiplicity Result for a Scalar Field Equation on Compact Surfaces
DE MARCHIS, FRANCESCA
2008
Abstract
We consider a scalar field equation on compact surfaces which has variational structure. When the surface is a torus and a physical parameter belongs to (8\pi,4\pi^2) we show under some extra assumptions that, besides a local minimum, the functional admits at least other two saddle points.File allegati a questo prodotto
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