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A Rado theorem for p-harmonic functions
- Let A be a nonlinear differential operator on an open set X subset of R-n and S a closed subset of X. Given a class F of functions in X, the set S is said to be removable for F relative to A if any weak solution of A(u) = 0 in XS of class F satisfies this equation weakly in all of X. For the most extensively studied classes F, we show conditions on S which guarantee that S is removable for F relative to A.
Author details: | Ibrahim LyGND, Nikolai Nikolaevich TarkhanovORCiDGND |
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DOI: | https://doi.org/10.1007/s40590-016-0109-7 |
ISSN: | 1405-213X |
ISSN: | 2296-4495 |
Title of parent work (English): | Boletin de la Sociedad Matemática Mexicana |
Publisher: | Springer |
Place of publishing: | Basel |
Publication type: | Article |
Language: | English |
Year of first publication: | 2016 |
Publication year: | 2016 |
Release date: | 2020/03/22 |
Tag: | Quasilinear equations; Removable sets; p-Laplace equation |
Volume: | 22 |
Number of pages: | 12 |
First page: | 461 |
Last Page: | 472 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
Peer review: | Referiert |