Semilinear systems with a multi-valued nonlinear term

Introducing a topological degree theory, we first establish some existence results for the inclusion h ∈ Lu − Nu in the nonresonance and resonance cases, where L is a closed densely defined linear operator on a Hilbert space with a compact resolvent and N is a nonlinear multi-valued operator of mono...

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Bibliographic Details
Main Authors: Kim In-Sook, Hong Suk-Joon
Format: Article
Language:English
Published: De Gruyter 2017-05-01
Series:Open Mathematics
Subjects:
Online Access:http://www.degruyter.com/view/j/math.2017.15.issue-1/math-2017-0056/math-2017-0056.xml?format=INT