Evolution equations with lack of convexity
References (22)
Mathematical Methods of Game and Economic Theory
(1979)- (1973)
- et al.
On the subdifferentiability of convex functions
Proc. Am. math. Soc.
(1965) Optimization and Non-Smooth Analysis
(1983)- et al.
Generation of semi-groups of nonlinear transformations on general Banach spaces
Am. J. Math.
(1971) Generalized limits in calculus of variations
- et al.
Evolution equations for a class of non-linear operators
Atti Accad. Naz. Lincei
(1983) - et al.
Recenti sviluppi della Γ-convergenza in problemi ellittici, parabolici ed iperbolici
- et al.
Problemi di evoluzione in spazi metrici e curve di massima pendenza
Atti Accad. Naz. Lincei
(1980) - et al.
Funzioni (p, q)-convesse
Atti Accad. Naz. Lincei
(1982)
General properties of (p, q)-convex functions and (p, q)-monotone operators
Ric. Mat. (Naples)
(1983)
Cited by (112)
The variational approach to s-fractional heat flows and the limit cases s → 0<sup>+</sup> and s → 1<sup>−</sup>
2023, Journal of Functional AnalysisGradient flows and Evolution Variational Inequalities in metric spaces. I: Structural properties
2020, Journal of Functional AnalysisCitation Excerpt :This is the first of a series of papers devoted to a thorough analysis of the class of gradient flows in metric spaces that can be characterized by Evolution Variational Inequalities (EVI, in short). Under the initial impulse of De Giorgi, Degiovanni, Marino, Tosques [37,38,61], the abstract theory has been extended towards two main directions: a relaxation of the convexity assumptions on ϕ (see e.g. [67,80]) and a broadening of the structure of the ambient space, from Hilbert to Banach spaces (for the theory of doubly nonlinear evolution equations, see e.g. [15,28]) or to more general metric and topological spaces [36]. It is remarkable that the original approach by De Giorgi and his collaborators encompasses both these directions.
Stochastic variational inequalities on non-convex domains
2015, Journal of Differential EquationsMoreau envelopes of s-lower regular functions
2015, Nonlinear Analysis, Theory, Methods and ApplicationsEvolution Integro-Differential Inclusions
2024, Set-Valued and Variational Analysis
Copyright © 1985 Published by Elsevier Ltd.