Maximal monotonicity for the sum of two subdifferential operators in L p-spaces

Goro Akagi

doi:10.1016/j.na.2010.10.037

Maximal monotonicity for the sum of two subdifferential operators in L ^p-spaces

Goro Akagi

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

This paper is devoted to providing a sufficient condition for the maximality of the sum of subdifferential operators defined on reflexive Banach spaces and proving the maximal monotonicity in Lp(Ω) ×Lp′(Ω) of the nonlinear elliptic operator u→-Δmu+β(u(·)) with a maximal monotone graph β.

Original language	English
Pages (from-to)	1664-1671
Number of pages	8
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	74
Issue number	5
DOIs	https://doi.org/10.1016/j.na.2010.10.037
Publication status	Published - 2011 Mar 1
Externally published	Yes

Keywords

Banach space
Maximal monotone
Nonlinear elliptic operator
Subdifferential

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.na.2010.10.037

Cite this

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abstract = "This paper is devoted to providing a sufficient condition for the maximality of the sum of subdifferential operators defined on reflexive Banach spaces and proving the maximal monotonicity in Lp(Ω) ×Lp′(Ω) of the nonlinear elliptic operator u→-Δmu+β(u(·)) with a maximal monotone graph β.",

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