Variational composition of a monotone operator and a linear mapping with applications to elliptic PDEs with singular coefficients

DOI10.1016/S0022-1236(02)00104-0zbMath1032.47029OpenAlexW2102436308WikidataQ57580557 ScholiaQ57580557MaRDI QIDQ1868674

Teemu Pennanen, Michel Théra, Julian Petrov Revalski

Publication date: 28 April 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-1236(02)00104-0

zbMATH Keywords

maximal monotone operatorsubdifferentialcompositionelliptic PDEgraphical convergencemeasurable multifunction

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Variational methods for elliptic systems (35J50) Convex functions and convex programs in convex geometry (52A41) Applications of operator theory to differential and integral equations (47N20) Integral operators (45P05)

Related Items

A SPLITTING METHOD FOR COMPOSITE MAPPINGS ⋮ A note on elliptic type boundary value problems with maximal monotone relations ⋮ Representable monotone operators and limits of sequences of maximal monotone operators ⋮ Natural closures, natural compositions and natural sums of monotone operators ⋮ On the convergence of sequence of maximal monotone operators of type (D) in Banach spaces

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