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Titlebook: Variational and Monotonicity Methods in Nonsmooth Analysis; Nicuşor Costea,Alexandru Kristály,Csaba Varga Book 2021 The Editor(s) (if appl

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楼主: commotion
发表于 2025-3-28 17:19:34 | 显示全部楼层
Nicuşor Costea,Alexandru Kristály,Csaba VargaCovers the latest achievements in nonsmooth analysis, with applications in mechanics, engineering and game theory.Presents a set of arguments for investigating (smooth or nonsmooth) elliptic PDEs.Prov
发表于 2025-3-28 20:25:02 | 显示全部楼层
Locally Lipschitz Functionalsoperties of the . and the . as well as the connection with the convex subdifferential. We also introduce two subdifferential notions for locally Lipschitz functions on curved spaces which are crucial to treat Nash-Stampacchia equilibria on Riemannian manifolds. We conclude this chapter by the Aubin-
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Critical Points, Compactness Conditions and Symmetric Criticalityre not differentiable, but are locally Lipschitz, a sum between ..-functional and a convex l.s.c. functional or, more general, the sum between a locally Lipschitz and a convex l.s.c. functional. Various compactness conditions, ensuring that every sequence for which the functional is converging to a
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Minimax and Multiplicity Resultsonals are provided in this chapter. We start with the Mountain Pass, Saddle Point and Linking theorems for locally Lipschitz functions which satisfy the generalized (. − .). condition. The “zero altitude case” and the symmetric version of the Mountain Pass Theorem are also discussed. Finally, minima
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Hemivariational Inequalities and Differential Inclusions on Unbounded Domainshe problem is more delicate, due to the lack of compactness in the Sobolev embeddings. Usually, in the theory of elliptic inequality problems variational and/or topological methods are combined with different technics to overcome this difficulty: approximation by bounded sub-domains; the use of weig
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Nonsmooth Nash Equilibria on Smooth Manifoldsanalysis on Riemannian manifolds. Fixed point characterizations and existence of Nash-Stampacchia equilibria are studied when the strategy sets are compact/noncompact geodesic convex subsets of Hadamard manifolds, exploiting two well-known geometrical features of these spaces both involving the metr
发表于 2025-3-30 00:08:36 | 显示全部楼层
Inequality Problems Governed by Set-valued Maps of Monotone Typelemma, Tarafdar’s fixed point theorem or Mosco’s alternative. The standard approach is to establish the existence of at least one solution for the case of bounded closed convex constraint subsets of (not necessarily reflexive) Banach spaces, then to derive coercivity conditions that ensure the exist
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Antiplane Shear Deformation of Elastic Cylinders in Contact with a Rigid Foundation deformations hypothesis. Using the KKM lemma due to Fan (see Corollary .), we prove that the model has at least one weak solution. Moreover, we present several examples of constitutive laws and friction laws for which our theoretical results are valid..Finally, we comment on the conditions which gu
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