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Families of Strictly Pseudoconvex Domains and Peak Functions. [PDF]
J Geom Anal, 2018 We prove that given a family $(G_t)$ of strictly pseudoconvex domains varying in $\mathcal{C}^2$ topology on domains, there exists a continuously varying family of peak functions $h_{t,\zeta}$ for all $G_t$ at every $\zeta\in\partial G_t.
Lewandowski A.
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Exhaustion functions and Stein neighborhoods for smooth pseudoconvex domains. [PDF]
Proc Natl Acad Sci U S A, 1975 A strictly plurisubharmonic exhaustion function with negative values is constructed for arbitrary relatively compact pseudoconvex domains with smooth boundary in a Stein manifold. It is applied to verify the Serre conjecture in a special case. A sufficient condition is given that guarantees the existence of a neighborhood-basis of Stein domains for ...
Diederich K, Fornaess JE.
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Complexity, 2020 This paper is devoted to the investigation of optimality conditions for approximate quasi weak efficient solutions for a class of vector equilibrium problem (VEP).
Yameng Zhang, Guolin Yu, Wenyan Han
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IEEE AccessThis paper investigates online distributed optimization within multi-agent systems under inequality constraints. Agents are allowed to exchange local data with their immediate neighbors through a time-varying digraph and perform computations, aiming to ...
Xiaoxi Yan, Yu Li, Muyuan Ma
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Novel Neural Network for Dealing with a Kind of Non-smooth Pseudoconvex Optimization Problems [PDF]
Jisuanji kexue, 2022 The research of optimization problem is favored by researchers.Nonsmooth pseudoconvex optimization problems are a special kind of nonconvex optimization problems,which often appear in machine learning,signal processing,bioinformatics and various ...
YU Xin, LIN Zhi-liang
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Pseudostarlike and pseudoconvex solutions of a differential equation with exponential coefficients
Математичні Студії, 2021 Dirichlet series $F(s)=e^{s}+\sum_{k=1}^{\infty}f_ke^{s\lambda_k}$ with the exponents ...
M.M. Sheremeta
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Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2020 The purpose of the note is to obtain equivalent quasinorm, sharp estimates for the quasinorm of Hardy’s and new Bergman’s analytic classes of in the polydisk.
Shamoyan, R.F., Tomashevskaya, E.B.
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The method of Weighted Multi objective Fractional Linear Programming Problem (MOFLPP) [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2014 More theories and algorithms in non-linear programming with titles convexity (Convex). When the objective function is fractional function, will not have to have any swelling, but can get other good properties have a role in the development of algorithms ...
Waleed Khalid Jaber, Zeanab k. jabar
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Rigid characterizations of pseudoconvex domains [PDF]
, 2011 We prove that an open set $D$ in $\C^n$ is pseudoconvex if and only if for any $z\in D$ the largest balanced domain centered at $z$ and contained in $D$ is pseudoconvex, and consider analogues of that characterization in the linearly convex case.Comment:
J. Thomas, Nikolai Nikolov, Pascal
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Geometric properties of semitube domains [PDF]
, 2014 In the paper we study the geometry of semitube domains in $\mathbb C^2$. In particular, we extend the result of Burgu\'es and Dwilewicz for semitube domains dropping out the smoothness assumption.
Kosiński, Łukasz +2 more
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