A monotonicity formula and a Liouville-typetheorem for a fourth order super critical problem
| Author | dc.contributor.author | Dávila Bonczos, Juan | |
| Author | dc.contributor.author | Dupaigne, Louis | es_CL |
| Author | dc.contributor.author | Wang, Kelei | es_CL |
| Author | dc.contributor.author | Wei, Juncheng | es_CL |
| Admission date | dc.date.accessioned | 2014-12-11T14:11:12Z | |
| Available date | dc.date.available | 2014-12-11T14:11:12Z | |
| Publication date | dc.date.issued | 2014 | |
| Cita de ítem | dc.identifier.citation | Advances in Mathematics 258 (2014) 240–285 | en_US |
| Identifier | dc.identifier.issn | DOI:/10.1016/j.aim.2014.02.034 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/126512 | |
| General note | dc.description | Artículo de publicación ISI | en_US |
| Abstract | dc.description.abstract | We consider Liouville-type and partial regularity results for then online arfourth-order problem Δ2u = |u|p−1u in Rn, where p>1 and n≥ 1.We give a complete classification of stableand finite Morse index solutions (whether positive o rsign changing),in the full exponent range.We also compute an upper bound. of the Hausdorff dimension of the singular set of extremal solutions.Our approachis motivated by Fleming’ stangent cone analysis technique for minimal surfaces and Federer’s dimension reduction principle in partial regularity theory.A key tool is the monotonicity formula for biharmonic equations. | en_US |
| Patrocinador | dc.description.sponsorship | L.Dupaigne thanks J.Wei and the math department of the Chinese University of Hong Kong (where part of this work was done) for their warm hospitality. Kelei Wang is partially supported by the Joint Laboratory of CAS-Croucher in Nonlinear PDE. Juncheng Wei is partially supported by NSERC435557-13 of Canada. J.Dávila acknowledges support of FONDECYT 1130360, CAPDE-Anillo ACT-125 and Fondo Basal CMM. | en_US |
| Lenguage | dc.language.iso | en | en_US |
| Publisher | dc.publisher | Elsevier | en_US |
| Type of license | dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | * |
| Link to License | dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | * |
| Keywords | dc.subject | Monotonicityformula | en_US |
| Título | dc.title | A monotonicity formula and a Liouville-typetheorem for a fourth order super critical problem | en_US |
| Document type | dc.type | Artículo de revista |
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