Boundary monotonicity formulae and applications to free boundary problems I: The elliptic case
| dc.contributor.author | Weiss, Georg S. | |
| dc.date.accessioned | 2021-04-13T17:26:56Z | |
| dc.date.available | 2021-04-13T17:26:56Z | |
| dc.date.issued | 2004-03-29 | |
| dc.description.abstract | We derive a monotonicity formula at boundary points for a class of nonlinear elliptic partial differential equations, including the obstacle problem case, quenching, a free boundary problem with Bernoulli-type free boundary condition as well as the blow-up case. As application model we prove - for Dirichlet boundary data satisfying certain assumptions - the global existence of a classical solution of the free boundary problem with Bernoulli-type free boundary condition in two and three dimensions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Weiss, G. S. (2004). Boundary monotonicity formulae and applications to free boundary problems I: The elliptic case. Electronic Journal of Differential Equations, 2004(44), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13372 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Free boundary | |
| dc.subject | Boundary regularity | |
| dc.subject | Non-tangential touch | |
| dc.subject | Monotonicity formula | |
| dc.subject | Global regularity | |
| dc.subject | Bernoulli-type free boundary condition | |
| dc.title | Boundary monotonicity formulae and applications to free boundary problems I: The elliptic case | en_US |
| dc.type | Article |