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On continuity properties of monotone operators beyond the natural domain of definition
Type of publication: Article
Citation:
Publication status: Published
Journal: Manuscripta Mathematica
Volume: 138
Number: 3-4
Year: 2012
Pages: 287--298
Note: Preprint NCMM no. 2010-029
URL: http://www.karlin.mff.cuni.cz/...
DOI: 10.1007/s00229-011-0506-1
Abstract: We study boundary value problems associated to a nonlinear elliptic system of partial differential equations. The leading second order elliptic operator provides L 2-coerciveness and has at most linear growth with respect to the gradient. Incorporating properties of Lipschitz approximations of Sobolev functions we are able to show that the problems in consideration are well-posed, in the sense of Hadamard.
Keywords: nonlinear elliptic equations, weak solution, well-posedness
Authors Bulíček, Miroslav
Added by: [MB]
Total mark: 0
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