| dc.contributor.author | Cabré Vilagut, Xavier |
| dc.contributor.other | Universitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística |
| dc.date.accessioned | 2020-02-07T12:57:48Z |
| dc.date.available | 2020-02-07T12:57:48Z |
| dc.date.issued | 2019-11-21 |
| dc.identifier.uri | http://hdl.handle.net/2117/177176 |
| dc.description.abstract | The regularity of stable solutions to semilinear elliptic PDEs has been studied since the 1970's. In dimensions 10 and higher, there exist singular stable energy solutions. In this talk I will describe a recent work with Figalli, Ros-Oton, and Serra, where we prove that stable solutions are smooth up to the optimal dimension 9. This answers to a famous open problem posed by Brezis in the mid-nineties concerning the regularity of extremal solutions to Gelfand-type problems. |
| dc.language.iso | eng |
| dc.relation.ispartofseries | Workshop in honor of Alessio Figalli's "Doctor Honoris Causa at UPC" (21-novembre-2019) |
| dc.source.uri | https://zonavideo.upc.edu/video/60c0f642a5ad8c695c2e49de |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials |
| dc.subject.lcsh | Differential equations, Partial |
| dc.title | Regularity of stable solutions to semilinear elliptic equations |
| dc.type | Audiovisual |
| dc.subject.lemac | Equacions en derivades parcials |
| dc.subject.ams | Classificació AMS::35 Partial differential equations |
| dc.rights.access | Open Access |
| dc.audience.mediator | Universitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística |
| dc.format.size | 1280x720 |
| dc.rightsHolder | Universitat Politècnica de Catalunya |
| local.ordre | 000002 |
| dc.identifier.zonavideo | 60c0f642a5ad8c695c2e49de |
| dc.relation.ispartofserieszonavideo | FME Jornades temàtiques |
| dc.subject.typezonavideo | Actes oficials i institucionals::Actes, jornades i conferències |
