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Titlebook: Dual Variational Approach to Nonlinear Diffusion Equations; Gabriela Marinoschi Book 2023 The Editor(s) (if applicable) and The Author(s),

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Progress in Nonlinear Differential Equations and Their Applicationshttp://image.papertrans.cn/e/image/283299.jpg
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978-3-031-24585-5The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Additional Psychocultural ThemesChapter . is devoted to the study of the existence of solutions to nonlinear diffusion equations with a time dependent nonlinearity whose potential is not coercive, and it is treated in the duality (.).− ..
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Nonlinear Diffusion Equations with a Noncoercive Potential,Chapter . is devoted to the study of the existence of solutions to nonlinear diffusion equations with a time dependent nonlinearity whose potential is not coercive, and it is treated in the duality (.).− ..
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Nonlinear Parabolic Equations in Divergence Form with Wentzell Boundary Conditions,Wentzell type. In the time dependent case, the existence and uniqueness of a strong solution is obtained as the limit of finite difference scheme, solved by a duality approach, while in the time-invariant case it is developed an argument via a semigroup technique combined with the duality method.
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Crafting Stories Using a VPA Approaching a variational principle, in the case when .(., ., ⋅) is provided by a continuous potential .(., ., ⋅) having a polynomial growth. The technique used to prove the existence consists in reducing the nonlinear problem to a convex optimization problem via the Legendre-Fenchel relations. A functional
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Crafting Stories Using a VPA Approach considered in Chap. ., more precisely with a monotonically increasing time and space depending nonlinearity .(., ., ⋅) provided by a potential .(., ., ⋅) having a weak coercivity property. This hypothesis may apply to .(., ., .) of polynomial type with respect to ., with the exponent . ∈ (1, 2) cha
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