1,721,034 research outputs found
Existence, multiplicity, and regularity for sub-Riemannian geodesics by variational methods
No full text
Alan D. Rendall: Partial differential equations in General Relativity
No full textReview of the book Partial differential equations
in General Relativity by Alan Rendal
An analytical theory for optimal controls on Riemannian manifolds
No full textThe problem of interpolation in a Riemannian manifold (M, g) discussed in [9] (using variational techniques on a suitable functional fra-mework) is here reviewed, stating the main existence results for minimizers and multiplicity and regularity results for critical points of the involved functional f
Gravitational collapse of homogeneous scalar fields
No full textConditions under which gravity coupled to self-interacting scalar fields determines singularity formation are found and discussed. It is shown that, under a suitable matching with an external space, the boundary, if it collapses completely, may give rise to a naked singularity. Issues related to the strength of the singularity are discussed
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