Results 21 to 30 of about 1,268 (110)
Existence of Two Solutions for a Critical Elliptic Problem with Nonlocal Term in ℝ4
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this paper, we prove the existence of two positive solutions for a critical elliptic problem with nonlocal term and Sobolev exponent in dimension four.
Khadidja Sabri +4 more
wiley +1 more source
On p‐Laplace Equations with Singular Nonlinearities and Critical Sobolev Exponent
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this paper, we deal with p‐Laplace equations with singular nonlinearities and critical Sobolev exponent. By using the Nehari manifold, Mountain Pass theorem, and Maximum principle theorem, we prove the existence of at least four distinct nontrivial solutions.
Mohammed El Mokhtar ould El Mokhtar +1 more
wiley +1 more source
Abstract and Applied Analysis, 2011 By applying hybrid inclusion and disclusion systems (HIDS), we establish several vectorial variants of system of Ekeland's variational principle on topological vector spaces, some existence theorems of system of parametric vectorial quasi-equilibrium ...
Wei-Shih Du
doaj +1 more source
Existence of solution for a Kirchhoff type problem involving the fractional p-Laplace operator
Electronic Journal of Qualitative Theory of Differential Equations, 2015 This paper is concerned with the existence of solutions to a Kirchhoff type problem involving the fractional $p$-Laplacian operator. We obtain the existence of solutions by Ekeland's variational principle.
Wenjing Chen, Shengbing Deng
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A generalized form of Ekeland’s variational principle
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In this paper we prove a generalized version of the Ekeland variational principle, which is a common generalization of Zhong variational principle and Borwein Preiss Variational principle.
Farkas Csaba
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The Multiplicity of Nontrivial Solutions for a New px-Kirchhoff-Type Elliptic Problem
Journal of Function Spaces, 2021 In the paper, we study the existence of weak solutions for a class of new nonlocal problems involving a px-Laplacian operator. By using Ekeland’s variational principle and mountain pass theorem, we prove that the new px-Kirchhoff problem has at least two
Chang-Mu Chu, Yu-Xia Xiao
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On non-local variational problems with lack of compactness related to non-linear optics [PDF]
, 2010 We give a simple proof of existence of solutions of the dispersion manage- ment and diffraction management equations for zero average dispersion, respectively diffraction.
A. Sukhorukov +62 more
core +2 more sources
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this article, multiplicity of nontrivial solutions for an inhomogeneous singular biharmonic equation with Rellich potential are studied. Firstly, a negative energy solution of the studied equations is achieved via the Ekeland's variational principle ...
Yang Yu, Yulin Zhao
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On Ekeland’s Variational Principle in Rectangular bmertic Spaces
Journal of Harbin University of Science and Technology, 2020 Ekeland′s variational principle plays an important role in fixed point theory. It has applications in many fields such as optimization theory, control theory, critical point theory and others.
HUANG Shuai, CHEN Lili, LIU Xin
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Maximum principle for near-optimality of stochastic delay control problem
Advances in Difference Equations, 2017 This paper is concerned with near-optimality for stochastic control problems of linear delay systems with convex control domain and controlled diffusion. Necessary and sufficient conditions for a control to be near-optimal are established by Pontryagin’s
Feng Zhang
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