Results 101 to 110 of about 359 (156)
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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Minimal element theorems and Ekeland's variational principle with new set order relations
, 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
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Nonhomogeneous elliptic problems of Kirchhoff type involving critical Sobolev exponents
Electronic Journal of Differential Equations, 2015 This article concerns the existence and the multiplicity of solutions for nonhomogeneous elliptic Kirchhoff problems involving the critical Sobolev exponent, defined on a regular bounded domain of $\mathbb{R}^3$.
Safia Benmansour, Mohammed Bouchekif
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, 2023 This paper examines the stochastic maximum principle (SMP) for a forward-backward stochastic control system where the backward state equation is characterized by the backward stochastic differential equation (BSDE) with quadratic growth and the forward ...
Ji, Shaolin, Xu, Rundong
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From Caristi’s Theorem to Ekeland’s Variational Principle in 0σ-Complete Metric-Like Spaces
Abstract and Applied Analysis, 2014 We discuss the extension of some fundamental results in nonlinear analysis to the setting of 0σ-complete metric-like spaces. Then, we show that these extensions can be obtained via the corresponding results in standard metric spaces.
Mohamed Jleli +3 more
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, 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 ...
Casas, Eduardo, Bonnans, J. Frederic
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On new critical point theorems without the Palais–Smale condition
, 2016 In this paper we prove new theorems on critical point theory based on the weak Ekeland's variational ...
Briki, Mabrouk +2 more
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Minimization principle in ordered banach spaces and application via ekeland's variational principle
, 2017 In this paper we establish a minimization principle in an ordered Banach space (in particular in a Riesz-Banach space). As an application we discuss the existence of a positive solution for a boundary value problem on the half-line even when the ...
Boucenna, Amina +3 more
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The discrete Brezis-Ekeland principle
Journal of Convex Analysis, 2009 Summary: We discuss a global-in-time variational approach to the time-discretization of gradient flows of convex functionals in Hilbert spaces. In particular, a discrete version of the celebrated Brezis-Ekeland variational principle is considered.
openaire +4 more sources
The relaxed stochastic maximum principle in singular optimal control of diffusions
, 2007 This paper studies optimal control of systems driven by stochastic differential equations, where the control variable has two components, the first being absolutely continuous and the second singular. Our main result is a stochastic maximum principle for
Djehiche, Boualem, +2 more
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