On topological Morse theory
From MaRDI portal
Publication:1761400
DOI10.1007/s11784-011-0066-8zbMath1259.58001OpenAlexW2033820285MaRDI QIDQ1761400
Publication date: 15 November 2012
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-011-0066-8
Nonsmooth analysis (49J52) Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)
Related Items (5)
Amann-Zehnder type results for \(p\)-Laplace problems ⋮ Critical group estimates for nonregular critical points of functionals associated with quasilinear elliptic equations ⋮ Weighted Sobolev spaces and Morse estimates for quasilinear elliptic equations ⋮ On local Morse theory for \(p\)-area functionals, \(p > 2\) ⋮ On the critical polynomial of functionals related to \(p\)-area (for \(1 < p < \infty\)) and \(p\)-Laplace \((1 < p\leq2)\) type operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On topological and metric critical point theory
- Relative homological linking in critical point theory
- Critical point theory and Hamiltonian systems
- Bifurcation for odd potential operators and an alternative topological index
- Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
- On a new notion of linking and application to elliptic problems at resonance
- A critical point theory for nonsmooth functionals
- Nontrivial solutions of quasilinear equations via nonsmooth Morse theory
- A general approach to the min-max principle
- Infinite dimensional Morse theory and multiple solution problems
- Mountain pass theorems and global homeomorphism theorems
- A nonsymmetric asymptotically linear elliptic problem
- Morse theory for \(C^ 1\)-functionals and Conley blocks
- Morse theory for continuous functionals
- Metric critical point theory. I: Morse regularity and homotopic stability of a minimum
- Morse theory and a non-linear generalization of the Dirichlet problem
- Linking over cones and nontrivial solutions for \(p\)-Laplace equations with \(p\)-superlinear nonlinearity
- Homotopy theory of infinite dimensional manifolds
- On differentiable functions with isolated critical points
- Morse theory on Hilbert manifolds
- Functional topology and abstract variational theory
- Nontrivial Solutions forp-Laplace Equations with Right-Hand Side Havingp-Linear Growth at Infinity
- A generalized Morse theory
- Functional Topology and Abstract Variational Theory
- On the second deformation lemma
- Morse index estimates for continuous functionals associated with quasilinear elliptic equations.
This page was built for publication: On topological Morse theory
