Existence of variationally defined curves with higher order elliptic Lagrangians
P Schrader - Nonlinear Analysis: Theory, Methods & Applications, 2015 - Elsevier
We present a method for proving the existence of solutions to a class of one dimensional
variational problems, namely those where the Lagrangian is strongly elliptic. The method is …
variational problems, namely those where the Lagrangian is strongly elliptic. The method is …
Global analysis of one-dimensional variational problems
PJ Schrader - Bulletin of the Australian Mathematical Society, 2017 - cambridge.org
From the global analytical point of view a one-dimensional variational problem consists in
extremising a differentiable action/cost function f: X→ R, where X is an infinite-dimensional …
extremising a differentiable action/cost function f: X→ R, where X is an infinite-dimensional …
Existence of variationally defined curves in complete Riemannian manifolds
P Schrader - arXiv preprint arXiv:1312.5414, 2013 - arxiv.org
We present a method for proving the existence of solutions to a class of one dimensional
variational problems. The method is demonstrated by two examples of optimal interpolation …
variational problems. The method is demonstrated by two examples of optimal interpolation …
Interpolation in Riemannian manifolds
S Bhattarai - 2013 - research-repository.uwa.edu.au
Abstract [Truncated abstract] It is a very natural task to connect the dots between patterns of
data we see. This fundamental procedure of connecting the dots, or interpolation, arises in …
data we see. This fundamental procedure of connecting the dots, or interpolation, arises in …