Results 51 to 60 of about 515 (89)

Heat flow on the moduli space of flat connections and Yang-Mills theory [PDF]

arXiv, 2010
It is known that there is a bijection between the perturbed closed geodesics, below a given energy level, on the moduli space of flat connections M and families of perturbed Yang-Mills connections depending on a small parameter. In this paper we study the heat flow on the loop space on M and the Yang-Mills L^2-flows for a 3-manifold N with partial ...
arxiv  

Novikov-Morse theory for dynamical systems [PDF]

arXiv, 2000
The present paper contains an interpretation and generalization of Novikov's theory of Morse type inequalities for 1-forms in terms of Conley's theory for dynamical systems.
arxiv  

Unbounded critical points for a class of lower semicontinuous functionals [PDF]

arXiv, 2003
In this paper we prove existence and multiplicity results of unbounded critical points for a general class of weakly lower semicontinuous functionals. We will apply a suitable nonsmooth critical point theory.
arxiv  

Deformation from symmetry for Schrodinger equations of higher order on unbounded domains [PDF]

arXiv, 2003
By means of a perturbation method recently introduced by Bolle, we discuss the existence of infinitely many solutions for a class of perturbed symmetric higher order Schrodinger equations with non-homogeneous boundary data on unbounded domains.
arxiv  

Relative homological linking [PDF]

Topological methods in nonlinear analysis, Vol. 30, No. 2, December 2007, 2003
Using Morse theory and a new relative homological linking of pairs, we prove a ``homological linking principle'', thereby generalizing many well known results in critical point theory.
arxiv  

The E-Cohomological Conley Index, Cup-Lengths and the Arnold Conjecture on T2n

Advanced Nonlinear Studies, 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.
Starostka Maciej, Waterstraat Nils
doaj   +1 more source

Simple Constructive Weak Factorization [PDF]

arXiv, 2006
We give a simplified algorithm of the functorial weak factorization of birational morphisms of nonsingular varieties over a field of characteristic zero into a composite of blow-ups and blow-downs with smooth centers.
arxiv  

Nonlinear Scalar Field Equations with L2 Constraint: Mountain Pass and Symmetric Mountain Pass Approaches

Advanced Nonlinear Studies, 2019
We study the existence of radially symmetric solutions of the following nonlinear scalar field equations in ℝN{\mathbb{R}^{N}} (N≥2{N\geq 2}):
Hirata Jun, Tanaka Kazunaga
doaj   +1 more source

Stability of closed characteristics on compact hypersurfaces in $\R^{2n}$ under pinching condition [PDF]

arXiv, 2008
In this article, let $\Sigma\subset\R^{2n}$ be a compact convex hypersurface which is $(r, R)$-pinched with $\frac{R}{r}<\sqrt{{3/2}}$. Then $\Sg$ carries at least two strictly elliptic closed characteristics; moreover, $\Sg$ carries at least $2[\frac{n+2}{4}]$ non-hyperbolic closed characteristics.
arxiv  

A pathological example in nonlinear spectral theory

Advances in Nonlinear Analysis, 2017
We construct an open set Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} on which an eigenvalue problem for the p-Laplacian has no isolated first eigenvalue and the spectrum is not discrete.
Brasco Lorenzo, Franzina Giovanni
doaj   +1 more source