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 |
|---|---|
| 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 |
