Operator equations and duality mappings in Sobolev spaces with variable exponents

DOI10.1007/s11401-013-0797-5zbMath1287.46028OpenAlexW2076643056MaRDI QIDQ379887

Philippe G. Ciarlet, Pavel Matei, Gheorghe Dinca

Publication date: 11 November 2013

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-013-0797-5

zbMATH Keywords

convexitysmoothnessmonotone operatorsoperator equationsduality mappingsNemytskij operatorsSobolev spaces with a variable exponent

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Fréchet and Gateaux differentiability in optimization (49J50) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) General theory of partial differential operators (47F05)

Related Items (1)

Dual descent regularization algorithms in variable exponent Lebesgue spaces for imaging

Cites Work

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