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Corrigendum to: Dirichlet and Neumann boundary conditions for the p-Laplace operator: What is in between?

Part of: Nonlinear operators and their properties Elliptic equations and systems Parabolic equations and systems

Published online by Cambridge University Press:  01 February 2019

Ralph Chill  and
Mahamadi Warma
Ralph Chill
Affiliation:
TU Dresden, Fakultät Mathematik, Institut für Analysis, 01062 Dresden (Germany) ([email protected])
Mahamadi Warma
Affiliation:
University of Puerto Rico, Faculty of Natural Sciences, Department of Mathematics (Rio Piedras Campus), PO Box 70377, San Juan PR 00936-8377 (USA) ([email protected]; [email protected])
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Abstract

The implication $(i)\Rightarrow (ii)$ of Theorem 2.1 in our article [1] is not true as it stands. We give here two correct statements which follow from the original proof.

Keywords

Local functionalsintegral representationsubgradientsRobin boundary conditionsnonlinear semigroupsdomination of semigroups

MSC classification

Primary: 35J65: Nonlinear boundary value problems for linear elliptic equations
Secondary: 35K55: Nonlinear parabolic equations 47H20: Semigroups of nonlinear operators
Type
Correction
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 149 , Issue 6 , December 2019 , pp. 1689 - 1691
Copyright
Copyright © Royal Society of Edinburgh 2019 

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References

1Chill, R. and Warma, M., Dirichlet and Neumann boundary conditions for the p-Laplace operator: what is in between?, Proc. Roy. Soc. Edinburgh Sect. A 142 (2012), no. 5, 975–1002.Google Scholar