A Degree Theory for Compact Perturbations of Monotone Type Operators and Application to Nonlinear Parabolic Problem

Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ be maximal monotone, S:X→2X⁎ be bounded and of type (S+), and C:D(C)→X⁎ be compact with D(T)⊆D(C) such that C lies in Γστ (i.e., there exist σ≥0 and τ≥0 such that Cx≤τx+σ for...

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Bibliographic Details
Main Author: Teffera M. Asfaw
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2017/7236103