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

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Nicu?or Costea,Alexandru Kristály,Csaba Varga place at the age of nineteen. Edward IV was not only the handsomest prince, but if anything the handsomest man of his time—so the historian Commines described him after seeing him face to face. He stood head and shoulders above other men, nearly six feet four inches—which gave an even more striking

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https://doi.org/10.1007/978-3-030-81671-1Critical Points; Fixed Points; Game Theory; Mechanical Applications; Monotonicity Arguments; Non-smooth A

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978-3-030-81670-4The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Variational and Monotonicity Methods in Nonsmooth Analysis978-3-030-81671-1Series ISSN 1660-8046 Series E-ISSN 1660-8054

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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 guarantee the uniqueness of solution.

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Convex and Lower Semicontinuous FunctionalsIn this chapter we briefly present basic properties of convex functions (as the Lipschitz property of convex functionals, the definition and main properties of the conjugate of a convex functional and the convex subdifferential), the direct method in the calculus of variations as well as the variational principle of Ekeland.

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