Results 51 to 60 of about 98 (89)

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

open access: yesAdvanced 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

A note on a global invertibility of mappings on Rn

open access: yes, 2016
We provide sufficient conditions for a mapping  ƒ: Rn → Rn to be a global diffeomorphism in case ƒ need not be continuously differentiable. Instead it is assumed to be strictly (Hadamard-like) and Frechet differentiable.
Galewski, Marek
core  

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

open access: yesAdvanced 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

A pathological example in nonlinear spectral theory

open access: yesAdvances 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

On Critical p-Laplacian Systems

open access: yesAdvanced Nonlinear Studies, 2017
We consider the critical p-Laplacian ...
Guo Zhenyu, Perera Kanishka, Zou Wenming
doaj   +1 more source

Existence Results for Solutions to Nonlinear Dirac Systems on Compact Spin Manifolds

open access: yesAdvanced Nonlinear Studies, 2018
In this article, we study the existence of solutions for the Dirac ...
Yang Xu
doaj   +1 more source

Infinitely many solutions for non-local problems with broken symmetry

open access: yesAdvances in Nonlinear Analysis, 2018
The aim of this paper is to investigate the existence of solutions of the non-local elliptic ...
Bartolo Rossella   +2 more
doaj   +1 more source

The Multiplicity Problem for Periodic Orbits of Magnetic Flows on the 2-Sphere

open access: yesAdvanced Nonlinear Studies, 2017
We consider magnetic Tonelli Hamiltonian systems on the cotangent bundle of the 2-sphere, where the magnetic form is not necessarily exact. It is known that, on very low and on high energy levels, these systems may have only finitely many periodic orbits.
Abbondandolo Alberto   +4 more
doaj   +1 more source

Homoclinics for strongly indefinite almost periodic second order Hamiltonian systems

open access: yesAdvances in Nonlinear Analysis, 2017
Under certain assumptions, we prove the existence of homoclinic solutions for almost periodic second order Hamiltonian systems in the strongly indefinite case.
Pankov Alexander
doaj   +1 more source

Existence and Multiplicity of Solutions for Resonant (p,2)-Equations

open access: yesAdvanced Nonlinear Studies, 2018
We consider Dirichlet elliptic equations driven by the sum of a p-Laplacian ...
Papageorgiou Nikolaos S.   +2 more
doaj   +1 more source

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