Bounded Palais-Smale sequences with Morse type information for some constrained functionals
Jack Borthwick, Xiaojun Chang, Louis Jeanjean, Nicola Soave
TL;DR
This paper investigates the existence of bounded Palais-Smale sequences with Morse index information for constrained functionals exhibiting mountain pass geometry, advancing understanding of critical point theory in constrained variational problems.
Contribution
It introduces a method to obtain bounded Palais-Smale sequences with Morse index data for constrained functionals with mountain pass structure, a novel approach in critical point theory.
Findings
Established existence of bounded Palais-Smale sequences with Morse index information.
Extended critical point theory to constrained variational problems.
Provided new tools for analyzing mountain pass geometries under constraints.
Abstract
In this paper, we study, for functionals having a mountain pass geometry on a constraint, the existence of bounded Palais-Smale sequences carrying Morse index type information.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Dynamics and Fractals · Analytic and geometric function theory · Homotopy and Cohomology in Algebraic Topology