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 | |
| Added by: | [MB] |
| Total mark: | 0 |
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