Zobrazeno 1 - 10
of 505
pro vyhledávání: '"Starostka"'
We obtain local and global bifurcation for periodic solutions of Hamiltonian systems by using a new way to apply a comparison principle of the spectral flow that was originally introduced by Pejsachowicz in a joint work with the third author. A parti
Externí odkaz:
http://arxiv.org/abs/2412.19271
Autor:
Asselle, L., Starostka, M.
In the 1960s Arnold conjectured that a Hamiltonian diffeomorphism of a closed connected symplectic manifold $(M,\omega)$ should have at least as many contractible fixed points as a smooth function on $M$ has critical points. Such a conjecture can be
Externí odkaz:
http://arxiv.org/abs/2411.19636
Autor:
Starostka Maciej, Waterstraat Nils
Publikováno v:
Advanced Nonlinear Studies, Vol 19, Iss 3, Pp 519-528 (2019)
We show that the E-cohomological Conley index, that was introduced by the first author recently, has a natural module structure. This yields a new cup-length and a lower bound for the number of critical points of functionals on Hilbert spaces. When a
Externí odkaz:
https://doaj.org/article/88b697ba65b84a55ba2a58f1fe0a0510
A note on the Morse homology for a class of functionals in Banach spaces involving the $p$-Laplacian
Autor:
Asselle, L., Starostka, M.
In this paper we show how to construct Morse homology for an explicit class of functionals involving the $p$-Laplacian. The natural domain of definition of such functionals is the Banach space $W^{1,2p}_0(\Omega)$, where $p>n/2$ and $\Omega \subset \
Externí odkaz:
http://arxiv.org/abs/2308.11227
We consider bifurcation of critical points from a trivial branch for families of functionals that are invariant under the orthogonal action of a compact Lie group. Based on a recent construction of an equivariant spectral flow by the authors, we obta
Externí odkaz:
http://arxiv.org/abs/2306.01170
Autor:
Starostka Maciej
Publikováno v:
Open Mathematics, Vol 10, Iss 6, Pp 2129-2137 (2012)
Externí odkaz:
https://doaj.org/article/b3e6ff64a83e4cfc8053e0572ae46a99
Autor:
Łabuz-Roszak, Beata1 (AUTHOR) beata.labuzroszak@uni.opole.pl, Starostka-Tatar, Anna2 (AUTHOR) annastarostka@wp.pl, Górniak, Maja3 (AUTHOR) gorniak.em@gmail.com, Wójcicki, Kacper4 (AUTHOR) kawojcicki@gmail.com, Nalewajko, Krzysztof5 (AUTHOR) krzysztof.nalewajko@uni.opole.pl, Zieliński, Robert5 (AUTHOR) robert.zielinski@uni.opole.pl, Roszak, Mateusz3 (AUTHOR) mateuszroszakmail@gmail.com, Gierlotka, Marek5 (AUTHOR) marek.gierlotka@uni.opole.pl
Publikováno v:
Journal of Clinical Medicine. Nov2024, Vol. 13 Issue 21, p6576. 8p.
Local Morse cohomology associates cohomology groups to isolating neighborhoods of gradient flows of Morse functions on (generally non-compact) Riemannian manifolds $M$. We show that local Morse cohomology is a module over the cohomology of the isolat
Externí odkaz:
http://arxiv.org/abs/2212.10309
In this paper we use the gradient flow equation introduced in [10] to construct a Morse complex for the Hamiltonian action $\mathbb A_H$ on a mixed regularity space of loops in the cotangent bundle $T^*M$ of a closed manifold $M$. Connections between
Externí odkaz:
http://arxiv.org/abs/2202.02324
In this paper we give an alternative, purely Conley index based proof of the Arnold conjecture in $\mathbb C\mathbb P^n$ asserting that a Hamiltonian diffeomorphism of $\mathbb C\mathbb P^n$ endowed with the Fubini-Study metric has at least $n+1$ fix
Externí odkaz:
http://arxiv.org/abs/2202.00422