The paper is devoted to geometry of subanalytic sets. The main result of this paper is the following: Given a subanalytic set E, the set of points at which E is not semianalytic is a subanalytic set. The proof is based on classical methods of analytic geometry and some technique…
The book is intended to be an introduction to critical point theory and its applications to differential equations. Although the related material can be found in other books, the authors of this volume have had the following goals in mind: To present a survey of existing minimax…
The classical problem of Plateau is studied from the point of view of global nonlinear analysis. It is shown that minimal surfaces of the topological type of the two disc arise as the zeros of a Fredholm vector field on an infinite dimensional manifold. A framework is developed …
This monograph collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical points. Including many of the authors own contributions, a range of proofs are conveniently collected here, Because the material is approached with rig…
This monograph collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical points. Including many of the authors own contributions, a range of proofs are conveniently collected here, Because the material is approached with rig…
This monograph collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical points. Including many of the author's own contributions, a range of proofs are conveniently collected here, Because the material is approached with ri…
Thismonographdealswiththeexistenceofperiodicmotionsof Lagrangiansystemswith ndegreesoffreedom ij + V'(q) =0, where Visasingularpotential. Aprototypeofsuchaproblem, evenifitisnottheonlyphysicallyinterestingone, istheKepler problem . q 0 q+yqr= . This, jointlywiththemoregeneralN-b…
Appliies variational methods and critical point theory on infinite dimenstional manifolds to some problems in Lorentzian geometry which have a variational nature, such as existence and multiplicity results on geodesics and relations between such geodesics and the topology of the…
