Results 81 to 90 of about 1,141 (123)

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  

Morse 2-jet space and h-principle [PDF]

Bulletin Brazilian Mathematical Society 40, 4 (2009) 455-463, 2009
A section in the 2-jet space of Morse functions is not always homotopic to a holonomic section. We give a necessary condition for being the case and we discuss the sufficiency.
arxiv  

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

Advanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia, Gallo Marco, Tanaka Kazunaga   +2 more
doaj   +1 more source

Infinitely many solutions for non-local problems with broken symmetry

Advances in Nonlinear Analysis, 2018
The aim of this paper is to investigate the existence of solutions of the non-local elliptic ...
Bartolo Rossella, De Nápoli Pablo L., Salvatore Addolorata   +2 more
doaj   +1 more source