Results 71 to 80 of about 512 (163)
Non‐autonomous double phase eigenvalue problems with indefinite weight and lack of compactness
Bulletin of the London Mathematical Society, Volume 56, Issue 2, Page 734-755, February 2024.Abstract In this paper, we consider eigenvalues to the following double phase problem with unbalanced growth and indefinite weight, −Δpau−Δqu=λm(x)|u|q−2uinRN,$$\begin{equation*} \hspace*{3pc}-\Delta _p^a u-\Delta _q u =\lambda m(x)|u|^{q-2}u \quad \mbox{in} \,\, \mathbb {R}^N, \end{equation*}$$where N⩾2$N \geqslant 2$, 1
Tianxiang Gou, Vicenţiu D. Rădulescu
wiley +1 more source
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
doaj
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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Recent developments in vector optimization [PDF]
, 2011 Lee, Hon Leung."August 2011."Thesis (M.Phil.)--Chinese University of Hong Kong, 2011.Includes bibliographical references (leaves 98-101) and index.Abstracts in English and Chinese.Chapter 1 --- Introduction --- p.6Chapter 2 --- Preliminaries --- p ...
core
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
Fixed point theorems in metric spaces and probabilistic metric spaces
International Journal of Mathematics and Mathematical Sciences, 1996 In this paper, we prove some common fixed point theorems for compatible mappings of type (A) in metric spaces and probabilistic metric spaces Also, we extend Caristi's fixed point theorem and Ekeland's variational principle in metric spaces to ...
Yeol Je Cho +2 more
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A generalization of Ekeland's variational principle with applications
Electronic Journal of Differential Equations, 2006 In this paper, we establish a variant of Ekeland's variational principle. This result suggest to introduce a generalization of the famous Palais-Smale condition.
Abdel R. El Amrouss, Najib Tsouli
doaj
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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Neumann Boundary Control of Hyperbolic Equations with Pointwise State Constraints [PDF]
, 2003 We consider optimal control problems for hyperbolic systems with controls in Neumann boundary conditions with pointwise (hard) constraints on control and state functions. Focusing on hyperbolic dynamics governed by the multidimensional wave equation with
Mordukhovich, Boris S +1 more
core +1 more source
The strong Ekeland variational principle
Journal of Mathematical Analysis and Applications, 2006 The main purpose of the present paper is to establish an extension of Ekeland's variational principle. The author is mainly concerned with quasiconvex proper and lower semicontinuous functions defined on a reflexive Banach space. In the last part of the paper this result is generalized in the framework of compact metric spaces endowed with a \(\tau ...
openaire +1 more source