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Titlebook: Current Research in Nonlinear Analysis; In Honor of Haim Bre Themistocles M. Rassias Book 2018 Springer International Publishing AG, part o

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https://doi.org/10.1007/3-540-28546-6to construct a bounded, autonomous, divergence-free vector field . such that there exists a non trivial, bounded distributional solution . to . for which the distribution . is . (representable by) a Radon measure. MSC (2010): 35F05, 35A02, 35Q35
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Failure of the Chain Rule in the Non Steady Two-Dimensional Setting,to construct a bounded, autonomous, divergence-free vector field . such that there exists a non trivial, bounded distributional solution . to . for which the distribution . is . (representable by) a Radon measure. MSC (2010): 35F05, 35A02, 35Q35
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1931-6828 ributions from mathematicians across the world.Current research and applications in nonlinear analysis influenced by Haim Brezis and Louis Nirenberg are presented in this book by leading mathematicians. Each contribution aims to broaden reader’s understanding of theories, methods, and techniques uti
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On the Maximality of the Sum of Two Maximal Monotone Operators, Also, we construct a degree theory for the sum of two maximal monotone operators, where the sum may not be maximal monotone, and the degree theory is also applied to study the operator equation 0 ∈ (. + .).. Finally, we give some applications of the main results to nonlinear partial differential equations.
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On Generalized Pseudo- and Quasiconvexities for Nonsmooth Functions, of the generalized pseudo- and quasiconvexities for nondifferentiable locally Lipschitz continuous functions. The treatment is based on the Clarke subdifferentials and generalized directional derivatives.
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Sum-Intersection Property of Sobolev Spaces,tional situations, this equality does not hold, and we derive an alternative decomposition..We also establish the validity of (2) when the first equality in (1) is replaced by the suboptimal condition . > .. + (1 − .)...
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