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Barbu, V. (1976) Nonlinear Semigroups and Differential Equations in Banach Spaces. Springer, Softcover.
https://doi.org/10.1007/978-94-010-1537-0

has been cited by the following article:

• TITLE: An Estimate on Linear Functionals’ Kernels in Banach Spaces, and Regularity of Convex Functionals

  AUTHORS: Hiroko Okochi

  KEYWORDS: Banach Space, Convex Functional, Subdifferential, Frèchet Derivative, Gâteaux Derivative, Deformation Lemma, Mountain Pass Theorem

  JOURNAL NAME: Applied Mathematics, Vol.13 No.9, September 19, 2022

  ABSTRACT: Motivated to obtain the second critical point of a nonlinear differential equation, which is expressed by derivatives of convex functional defined on a Banach space, an estimate withis given to see the relation between f-1(0) and g-1(0). And both the Fréchet differentiability and the continuity of Fréchet derivative of every convex functional defined on an open subset of a Banach space are shown.