Results 101 to 110 of about 1,030,362 (113)

A complement to Ekeland's variational principle in Banach spaces

, 1996
We give a sufficient condition to a closed convex hull of the set of the Ekeland's points of a certain lower semicontinuous function defined on a real Banach space X coincides with ...
CHINNI', Antonia, CAMMAROTO, Filippo
core  

Positive Ground State Solutions for Fractional (p, q)-Laplacian Choquard Equation with Singularity and Upper Critical Exponent

Fractal and Fractional
We prove the existence of a positive ground state solution for a fractional (p,q)-Laplacian Choquard equation that features both a singularity and an upper critical exponent.
Zhenyu Bai, Chuanzhi Bai
doaj   +1 more source

A remark on Ekeland's principle in locally convex topological vector spaces

, 1999
In this paper, we present a solution to a problem considered by Isac; we give a condition in order to assure the density of the convex hull of the set of Ekeland's points when the function is defined in a Hausdorff, locally convex topological vector ...
STURIALE G., CHINNI', Antonia, CAMMAROTO, Filippo   +2 more
core  

Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy-Sobolev exponent and singular nonlinearity. [PDF]

J Inequal Appl, 2018
Shen L.
europepmc   +1 more source

Infinitely many homoclinic solutions for second order nonlinear difference equations with p-Laplacian. [PDF]

ScientificWorldJournal, 2014
Sun G, Mai A.
europepmc   +1 more source

Critical Point Theorems for Nonlinear Dynamical Systems and Their Applications

Fixed Point Theory and Applications, 2010
We present some new critical point theorems for nonlinear dynamical systems which are generalizations of Dancš-Hegedüs-Medvegyev's principle in uniform spaces and metric spaces by applying an abstract maximal element principle established by ...
Du Wei-Shih
doaj  

Asymmetric superlinear problems under strong resonance conditions

Electronic Journal of Differential Equations, 2017
We study the existence and multiplicity of solutions of the problem $$\displaylines{ -\Delta u = -\lambda_1 u^- + g(x,u),\quad \text{in } \Omega; \cr u = 0, \quad \text{on } \partial\Omega, }$$ where $\Omega$ is a smooth bounded domain in $\mathbb{R ...
Leandro Recova, Adolfo J. Rumbos
doaj  

Multiple solutions for Kirchhoff type problem near resonance

Electronic Journal of Differential Equations, 2015
Based on Ekeland's variational principle and the mountain pass theorem, we show the existence of three solutions to the Kirchhoff type problem $$\displaylines{ -\Big(a+b\int_{\Omega}|\nabla u|^2dx \Big) \Delta u =b \mu u^3+f(x,u)+h(x), \quad\text{in
Shu-Zhi Song, Chun-Lei Tang, Shang-Jie Chen   +2 more
doaj  

The(?) Correspondence Principle [PDF]

, 2013
One finds, even in texts by distinguished physicists, diverse enunciations of the correspondence principle. Typical is that quantum mechanics should agree with classical mechanics in some appropriate limit. Most commonly, the limit specified is that of
Rynasiewicz, Robert
core  

Existence and multiplicity of solutions to triharmonic problems

Electronic Journal of Differential Equations
The authors consider the triharmonic equation $$ (-\Delta)^3u+c_1\Delta^2 u+c_2\Delta u=h(x)|u|^{p-2} u+g(x,u) $$ in $\Omega$, where $p\in(1,2)$, subject to Navier boundary conditions.
Qifan Wei, Xuemei Zhang
doaj