Sharp Cheeger-Buser Type Inequalities in RCD ( K , ∞ ) Spaces. [PDF]
De Ponti N, Mondino A.
europepmc +1 more source
The Second Welfare Theorem with public goods in general economies [PDF]
In this paper we prove a general version of the Second Welfare Theorem for a non-convex and non-transitive economy, with public goods and other externalities in consumption.
Jorge Rivera, Alejandro Jofré
core
Generalized Differential Calculus for Nonsmooth and Set-Valued Mappings
We study some generalized differentiability concepts for multifunctions and non-smooth mappings in finite dimensions. The most attention is paid to the so-called coderivative of multifunctions introduced earlier by the author.
Mordukhovich, B.S.
core +1 more source
Optimal control system of multi-term fractional stochastic inclusion with Clarke’s subdifferential
This article examines the optimal control of multi-term fractional stochastic inclusion with Clarke’s subdifferential driven by mixed fractional Brownian motion in Hilbert space. The existence of the mild solution for the considered system is explored by
K. Anukiruthika, P. Muthukumar
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Convex optimization algorithms in medical image reconstruction-in the age of AI. [PDF]
Xu J, Noo F.
europepmc +1 more source
Nonsmooth calculus in finite dimensions
The notion of subgradient, originally defined for convex functions, has in recent years been extended, via the “upper subderivative,” to cover functions that are not necessarily convex or even continuous.
J. M. Borwein (21268130) +1 more
core
Subdifferential and Superdifferential Optimality Conditions in Nonsmooth Minimization
The paper concerns first-order necessary optimality conditions for problems of minimizing nonsmooth functions under various constraints in infinite-dimensional spaces. Based on advanced tools of variational analysis and generalized differential calculus,
Mordukhovich, Boris S
core
Compact holographic sound fields enable rapid one-step assembly of matter in 3D. [PDF]
Melde K +9 more
europepmc +1 more source
Continuum limits of discrete isoperimetric problems and Wulff shapes in lattices and quasicrystal tilings. [PDF]
Del Nin G, Petrache M.
europepmc +1 more source
A fractional order nonlinear model of the love story of Layla and Majnun.
Sabir Z, Said SB.
europepmc +1 more source

