Results 41 to 50 of about 15,586 (220)
Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
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Sensitivity analysis of parametric vector equilibrium problems on Fréchet coderivative
Journal of Inequalities and ApplicationsIn this paper, the sensitivity analysis of parametric vector equilibrium problems (for short PVEP) is conducted based on the Fréchet coderivative of a multifunction.
Xicai Deng, Yibo Liu, Chongyi Zhong
doaj +1 more source
Characterizations of the subdifferential of convex integral functions under qualification conditions
Journal of Functional Analysis, 2018 This work provides formulae for the e-subdifferential of integral functions in the framework of complete σ-finite measure spaces and locally convex spaces.
R. Correa, A. Hantoute, P. Pérez-Aros
semanticscholar +1 more source
Inequalities and counterexamples for functional intrinsic volumes and beyond
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that analytic analogs of Brunn–Minkowski‐type inequalities fail for functional intrinsic volumes on convex functions. This is demonstrated both through counterexamples and by connecting the problem to results of Colesanti, Hug, and Saorín Gómez.
Fabian Mussnig, Jacopo Ulivelli
wiley +1 more source
Journal of Mathematical Sciences, 2003 The author gives a survey (with over 100 references) about the theory of Fréchet subdifferentiation in Banach spaces. After the definitions of Fréchet subdifferentials (and superdifferentials) of real-valued functions, Fréchet normal cones of sets and Fréchet coderivatives of set-valued mappings, the most important properties of these notions are ...
openaire +3 more sources
Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.This paper investigates the application of β‐open sets to the convergence analysis of nonautonomous evolution equations governed by maximal monotone operators in Hilbert spaces. β‐open sets are a class of generalized open sets introduced by Njåstad (1965), which coincides with the class of semiopen sets by Levine (1963).
Boushra Abbas, Simeon Reich
wiley +1 more source
Generalized derivatives and optimization problems for n-dimensional fuzzy-number-valued functions
Open Mathematics, 2020 In this paper, we present the concepts of generalized derivative, directional generalized derivative, subdifferential and conjugate for n-dimensional fuzzy-number-valued functions and discuss the characterizations of generalized derivative and ...
Xie Ting, Gong Zengtai, Li Dapeng
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The $\gamma $-support as a micro-support
Comptes Rendus. Mathématique, 2023 We prove that for any element $L$ in the completion of the space of smooth compact exact Lagrangian submanifolds of a cotangent bundle equipped with the spectral distance, the $\gamma $-support of $L$ coincides with the reduced micro-support of its sheaf
Asano, Tomohiro +4 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper defines a strong convertible nonconvex (SCN) function for solving the unconstrained optimization problems with the nonconvex or nonsmooth (nondifferentiable) function. First, the concept of SCN function is defined, where the SCN functions are nonconvex or nonsmooth.
Min Jiang +4 more
wiley +1 more source
Enlargements of Monotone Operators Determined by Representing Function
Journal of Mathematical Extension, 2012 In this paper, we study a new enlargement of subdifferential for any proper lower semicontinuous function. We know that ε-subdifferential of any proper lower semicontinuous function is an enlargement of its subfifferential and any point from the graph
M. Rezaei
doaj