Results 71 to 80 of about 515 (89)

On Ekeland's variational principle [PDF]

arXiv, 2010
For proper lower semi-continuous functionals bounded below which do not increase upon polarization, an improved version of Ekeland's variational principle can be formulated in Banach spaces, which provides almost symmetric points.
arxiv  

Homoclinics for strongly indefinite almost periodic second order Hamiltonian systems

Advances 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

Diffeomorphism-invariant properties for quasi-linear elliptic operators [PDF]

arXiv, 2011
For quasi-linear elliptic equations we detect relevant properties which remain invariant under the action of a suitable class of diffeomorphisms. This yields a connection between existence theories for equations with degenerate and non-degenerate coerciveness.
arxiv  

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

Advanced Nonlinear Studies, 2018
We consider Dirichlet elliptic equations driven by the sum of a p-Laplacian ...
Papageorgiou Nikolaos S., Rădulescu Vicenţiu D., Repovš Dušan D.   +2 more
doaj   +1 more source

Global compactness for a class of quasi-linear elliptic problems [PDF]

arXiv, 2011
We prove a global compactness result for Palais-Smale sequences associated with a class of quasi-linear elliptic equations on exterior domains.
arxiv  

On the stability of standing waves of Klein-Gordon equations in a semiclassical regime [PDF]

arXiv, 2012
We investigate the orbital stability and instability of standing waves for two classes of Klein-Gordon equations in the semi-classical regime.
arxiv  

Soliton dynamics of NLS with singular potentials [PDF]

arXiv, 2012
We investigate the validity of a soliton dynamics behavior in the semi-relativistic limit for the nonlinear Schr\"odinger equation in $\R^{N}, N\ge 3$, in presence of a singular external potential.
arxiv  

On symmetry results for elliptic equations with convex nonlinearities [PDF]

arXiv, 2012
We investigate partial symmetry of solutions to semi-linear and quasi-linear elliptic problems with convex nonlinearities, in domains that are either axially symmetric or radially symmetric.
arxiv  

Infinitely Many Solutions for a Non-homogeneous Differential Inclusion with Lack of Compactness

Advanced Nonlinear Studies, 2019
In this paper, we consider the following class of differential inclusion problems in ℝN{\mathbb{R}^{N}} involving the p⁢(x){p(x)}-Laplacian:
Ge Bin, Rădulescu Vicenţiu D.
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Concentrating solutions for double critical fractional Schrödinger-Poisson system with p-Laplacian in ℝ3

Advances in Nonlinear Analysis
In this article, we consider the following double critical fractional Schrödinger-Poisson system involving p-Laplacian in R3{{\mathbb{R}}}^{3} of the form: εsp(−Δ)psu+V(x)∣u∣p−2u−ϕ∣u∣ps♯−2u=∣u∣ps*−2u+f(u)inR3,εsp(−Δ)sϕ=∣u∣ps♯inR3,\left\{\begin{array}{l}{\
Liang Shuaishuai, Song Yueqiang, Shi Shaoyun   +2 more
doaj   +1 more source