Results 101 to 110 of about 585 (200)

Minimax theorems on C1 manifolds via Ekeland variational principle [PDF]

open access: yesAbstract and Applied Analysis, 2003
We prove two minimax principles to find almost critical points of C1 functionals restricted to globally defined C1 manifolds of codimension 1. The proof of the theorems relies on Ekeland variational principle.
openaire   +4 more sources

On an eigenvalue problem with variable exponents and sign-changing potential

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
In this paper we study a non-homogeneous eigenvalue problem involving variable growth conditions and a sign-changing potential. We prove that any $\lambda>0$ sufficiently small is an eigenvalue of the nonhomogeneous eigenvalue problem \begin{equation ...
Bin Ge
doaj   +1 more source

The Existence of Cone Critical Point and Common Fixed Point with Applications

open access: yesJournal of Applied Mathematics, 2011
We first establish some new critical point theorems for nonlinear dynamical systems in cone metric spaces or usual metric spaces, and then we present some applications to generalizations of Dancš-Hegedüs-Medvegyev's principle and the existence theorem ...
Wei-Shih Du
doaj   +1 more source

Ekeland's variational principle in weak and strong systems of arithmetic [PDF]

open access: green, 2019
David Fernández–Duque   +2 more
openalex   +1 more source

Nonhomogeneous elliptic problems of Kirchhoff type involving critical Sobolev exponents

open access: yesElectronic Journal of Differential Equations, 2015
This article concerns the existence and the multiplicity of solutions for nonhomogeneous elliptic Kirchhoff problems involving the critical Sobolev exponent, defined on a regular bounded domain of $\mathbb{R}^3$.
Safia Benmansour, Mohammed Bouchekif
doaj  

Critical Point Theorems for Nonlinear Dynamical Systems and Their Applications

open access: yesFixed 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  

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