Results 71 to 80 of about 1,231,124 (145)
Multiple solutions of a p-Kirchhoff equation with singular and critical nonlinearities
Electronic Journal of Differential Equations, 2017 In this article, we explore the existence of multiple solutions for a p-Kirchhoff equation with the nonlinearity containing both singular and critical terms.
Qin Li, Zuodong Yang, Zhaosheng Feng
doaj
Electronic Journal of Differential Equations, 2021 In this article, we consider the multiplicity of solutions for nonhomogeneous Schrodinger-Poisson systems under the Berestycki-Lions type conditions.
Lan-Xin Huang +2 more
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On Ekeland's Variational Principle and a Minimax Theorem
, 1997 Ekeland’s variational principle states that if a Gateaux differentiable Ž . function f has a finite lower bound although it need not attain it , then 5 Ž .5 for every e ) 0, there exists some point x such that f x F e . This e e 5 Ž .5 Ž paper shows that
Cheng-kui Zhong
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Relative Entropy and Variational Properties of Generalized Gibbsian Measures [PDF]
, 2004 We study the relative entropy density for generalized Gibbs measures. We first show its existence and obtain a familiar expression in terms of entropy and relative energy for a class of “almost Gibbsian measures” (almost sure continuity of conditional ...
Ny, Arnaud Le, +12 more
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Maximum principle for delayed stochastic mean-field control problem with state constraint
Advances in Difference Equations, 2019 In this paper, we consider the optimal control problem for the mean-field stochastic differential equations with delay and state constraint. By virtue of the classical Ekeland’s variational principle, the duality method and a new type of mean-field ...
Li Chen, Jiandong Wang
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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
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New Stability Results for Ekeland's ϵ Variational Principles for Vector-Valued and Set-Valued Maps [PDF]
, 2001 In this paper, we discuss the stability of Ekeland's variational principles for vector-valued and set-valued maps when the dominating cone is a closed pointed convex cone whose interior may be empty.
Huang, X.X.
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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
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The Variational Principle and Fixed Point Theorems in Certain Topological Spaces [PDF]
, 1996 The main purpose of this paper is to introduce the concept ofF-type topological spaces and to establish a variational principle and a fixed point theorem in the kind of spaces, which extend Ekeland's variational principle and Caristi's fixed point ...
Fang, Jin-Xuan
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Fixed Point Theory and Algorithms for Sciences and EngineeringThis 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
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