Zobrazeno 1 - 10
of 31
pro vyhledávání: '"58E09"'
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:
Lu, Guangcun
Publikováno v:
Journal of Mathematical Analysis and Applications, Volume 530, Issue 2, 15 February 2024, 127697
In this note we refine the alternativity in some bifurcation theorems of Rabinowitz type, and then improve a few of results in Lu (2022) [17].
Comment: Latex, 24 pages. Updated to match the published, journal version. arXiv admin note: text over
Comment: Latex, 24 pages. Updated to match the published, journal version. arXiv admin note: text over
Externí odkaz:
http://arxiv.org/abs/2302.10045
Autor:
Lu, Guangcun
This is the first part of a series devoting to the generalizations and applications of common theorems in variational bifurcation theory. Using parameterized versions of splitting theorems in Morse theory we generalize some famous bifurcation theorem
Externí odkaz:
http://arxiv.org/abs/2111.08689
Autor:
Gołębiewska, Anna, Stefaniak, Piotr
In this paper we study an index of a critical orbit, defined in terms of the degree for invariant strongly indefinite functionals. We establish a relationship of this index with the index of a critical point of the mapping restricted to the space nor
Externí odkaz:
http://arxiv.org/abs/1809.09950
In this paper we consider the problem of characterizing the minimum energy configurations of a finite system of particles interacting between them due to attracting or repulsive forces given by a certain inter molecular potential. We limit ourselves
Externí odkaz:
http://arxiv.org/abs/1603.01899
Autor:
Chillingworth, David
We describe a general model for the free energy function for a homogeneous medium of mutually interacting molecules, based on the formalism for a biaxial nematic liquid crystal set out by Katriel {\em et al.} (1986) in an influential paper in {\em Li
Externí odkaz:
http://arxiv.org/abs/1401.6402
Publikováno v:
Analysis and Topology in Nonlinear Differential Equations. Progress in Nonlinear Differential Equations and Their Applications, Vol 85, 2014, pp 103-133
We prove an extension of a celebrated equivariant bifurcation result of J. Smoller and A. Wasserman, in an abstract framework for geometric variational problems. With this purpose, we prove a slice theorem for continuous affine actions of a (finite-d
Externí odkaz:
http://arxiv.org/abs/1308.3268
Autor:
Bettiol, Renato G., Piccione, Paolo
Publikováno v:
Int. Math. Res. Not. IMRN 2016, no. 10, 3124-3162
Classical Delaunay surfaces are highly symmetric constant mean curvature (CMC) submanifolds of space forms. We prove the existence of Delaunay-type hypersurfaces in a large class of compact manifolds, using the geometry of cohomogeneity one group act
Externí odkaz:
http://arxiv.org/abs/1306.6043
Autor:
Somberg, P.
For a finite reflection subgroup $G\leq O(n+1,1,\mR)$ of the conformal group of the sphere with standard conformal structure $(S^n,[g_0])$, we geometrically derive differential-difference Dunkl version of the series of conformally invariant different
Externí odkaz:
http://arxiv.org/abs/1305.0734
Autor:
Lewis, Debra
Publikováno v:
SIGMA 9 (2013), 038, 28 pages
Relative equilibria of Lagrangian and Hamiltonian systems with symmetry are critical points of appropriate scalar functions parametrized by the Lie algebra (or its dual) of the symmetry group. Setting aside the structures - symplectic, Poisson, or va
Externí odkaz:
http://arxiv.org/abs/1210.0278