Results 81 to 90 of about 486 (163)

Eigenvalues for a Neumann Boundary Problem Involving the p(x)-Laplacian

Advances in Mathematical Physics, 2015
We study the existence of weak solutions to the following Neumann problem involving the p(x)-Laplacian operator:  -Δp(x)u+e(x)|u|p(x)-2u=λa(x)f(u), in  Ω, ∂u/∂ν=0, on  ∂Ω.
Qing Miao
doaj   +1 more source

Ekeland's variational principle in vecter optimization [PDF]

, 2008
新潟大学博士（理学）新潟大学平成20年3月24日新大院博（理）第292号新大院博（理 ...
49925, 荒谷, 洋輔
core  

Ekeland’s Variational Principle and Minimization Takahashi’s Theorem in Generalized Metric Spaces

Mathematics, 2018
We consider a distance function on generalized metric spaces and we get a generalization of Ekeland Variational Principle (EVP). Next, we prove that EVP is equivalent to Caristi–Kirk fixed point theorem and minimization Takahashi’s theorem.
Eshagh Hashemi, Reza Saadati
doaj   +1 more source

Variational Principles for Set-Valued Mappings with Applications to Multiobjective Optimization [PDF]

, 2007
This paper primarily concerns the study of general classes of constrained multiobjective optimization problems (including those described via set-valued and vector-valued cost mappings) from the viewpoint of modern variational analysis and generalized ...
Bao, Truong Q, Mordukhovich, Boris S
core   +1 more source

Concerning Kirk’s problem

Fixed Point Theory and Algorithms for Sciences and Engineering
This paper presents a straightforward statement for Khamsi’s theorem without assuming continuity or nondecreasing restrictions on η. Additionally, a new proof provides an affirmative answer to Kirk’s problem, supported by examples.
Hamid Mottaghi Golshan
doaj   +1 more source

Ekeland Variational Principle in asymmetric locally convex spaces

Topology and its Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

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

Boundary 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

On Ekeland's Variational Principle and a Minimax Theorem

Journal of Mathematical Analysis and Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

An order drop theorem

Le 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  

An extension of Pontryagin's principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities [PDF]

, 1992
Projet PROMATHThis paper deals with state-constrained optimal control problems governed by semilinear elliptic equations or variational inequalities. By using Ekeland's principle, we derive a minimum principle of Pontryagin's type under some stability ...
Bonnans, J. Frederic, Casas, Eduardo
core   +2 more sources