Results 81 to 90 of about 1,231,124 (145)

Maximum principle for a nonlinear size-structured model of fish and fry management

open access: yesNonlinear Analysis, 2018
This paper investigates the maximum principle for a nonlinear size-structured model that describes the optimal management of the fish resources taking into account harvesting the fish and putting the fry.
Rong Liu, Guirong Liu
doaj   +1 more source

On the structure of minimizers of causal variational principles in the non-compact and equivariant settings [PDF]

open access: yes, 2012
We derive the Euler-Lagrange equations for minimizers of causal variational principles in the non-compact setting with constraints, possibly prescribing symmetries.
Finster, Felix, Bernard, Yann
core   +1 more source

Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations

open access: yesBoundary Value Problems, 2006
The goal of this paper is to study the existence and the multiplicity of non-trivial weak solutions for some degenerate nonlinear elliptic equations on the whole space RN. The solutions will be obtained in a subspace of the Sobolev space W1/p(RN).
Mihai Mihăilescu
doaj   +1 more source

Minimal element theorems and Ekeland's variational principle with new set order relations

open access: yes, 2018
By using scalarization functions, we study minimal element theorem, Ekeland's variational principle, Caristi's fixed point theorem, Takahashi's minimization theorem under the set order relations on the family of sets defined by means of Minkowski ...
Yao, Jen Chih   +2 more
core   +1 more source

An order drop theorem

open access: yesLe Matematiche, 2006
A drop theorem on ordered metric spaces is established from the (pre) order version of Ekeland’s variational principle in Turinici [An St UAIC Ia (Math), 36 (1990), 329-352]. The logical equivalence between these results is also discussed.
Mihai Turinici
doaj  

Positive Solutions for a Nonhomogeneous Kirchhoff Equation with the Asymptotical Nonlinearity in R3

open access: yesAbstract and Applied Analysis, 2014
We study the following nonhomogeneous Kirchhoff equation: -(a+b∫R3‍|∇u|2dx)Δu+u=k(x)f(u)+h(x),  x∈R3,  u∈H1(R3),  u>0,  x∈R3, where f is asymptotically linear with respect to t at infinity.
Ling Ding, Lin Li, Jin-Ling Zhang
doaj   +1 more source

From Quasi-variational Inclusion Problems to Stampacchia Vector Quasi-equilibrium Problems ,Stampacchia Set-valued Vector Ekeland's Variational Principle and Caristi's Fixed Point Theorem

open access: yes, 2011
[[abstract]]In this paper, we first study existence theorems of solution for quasivariational inclusion problems. We apply existence theorems of solution for quasivariational inclusion problem to study the existence theorems of solution for the ...
Lai-Jiu Lin; Chih sheng Chuang; Sung- Yu Wang
core  

The Ekeland's Variational Principle

open access: yes, 2022
The present work has as target audience all students who have experience in Real Analysis. Some introductory results of Functional Analysis will be presented, as some definitions and results in metric spaces, having as main result: Ekeland’s ...
Azevedo, Mateus Vinicius Santos de
core  

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

On an extension of Ekeland's variational principle for vector-valued functions

open access: yes, 1998
In this paper we give a version of Ekeland's variational principle together with a qualitative complement for vector valued functions.
STURIALE G.   +2 more
core  

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