| dc.contributor.advisor | Witt, Ingo Prof. Dr. | |
| dc.contributor.author | Nguyen, Thi Thu Huong | |
| dc.date.accessioned | 2014-05-15T09:34:53Z | |
| dc.date.available | 2014-05-15T09:34:53Z | |
| dc.date.issued | 2014-05-15 | |
| dc.identifier.uri | http://hdl.handle.net/11858/00-1735-0000-0022-5EB5-8 | |
| dc.identifier.uri | http://dx.doi.org/10.53846/goediss-4507 | |
| dc.language.iso | eng | de |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/ | |
| dc.subject.ddc | 510 | de |
| dc.title | Existence of solutions of quasilinear elliptic equations on manifolds with conic points | de |
| dc.type | doctoralThesis | de |
| dc.contributor.referee | Witt, Ingo Prof. Dr. | |
| dc.date.examination | 2013-12-13 | |
| dc.description.abstracteng | Existence and regularity of solutions of quasilinear elliptic equations in nonsmooth domains have been interesting topics in the development of partial differential equations. The existence of finite-energy solutions of higher-order equations, also those with degenerations and singularities, can be shown by theories of monotone operators and topological methods. There are few results about singular solutions of second-order equations involving the p-Laplacian with the Dirac distribution on the right-hand side. So far the existence of singular solutions of higher-order equations with a prescribed asymptotic behavior has not been investigated.
The aims of my dissertation are to look for finite-energy and singular solutions of quasilinear elliptic equations on manifolds with conic points. We single out realizations of the p-Laplacian in particular, (p>= 2), and a cone-degenerate operator in general, which are shown to belong to the class (S)_+. Assuming further coercivity conditions and employing mapping degree theory for generalized monotone mappings, we obtain existence for the prototypical example of the p-Laplacian and for general higher-order equations. | de |
| dc.contributor.coReferee | Bahns, Dorothea Prof. Dr. | |
| dc.subject.eng | Singular solutions | de |
| dc.subject.eng | Quasilinear elliptic equations | de |
| dc.subject.eng | Manifolds with conic points | de |
| dc.subject.eng | Topological methods | de |
| dc.subject.eng | Conic p-Laplacian | de |
| dc.identifier.urn | urn:nbn:de:gbv:7-11858/00-1735-0000-0022-5EB5-8-2 | |
| dc.affiliation.institute | Fakultät für Mathematik und Informatik | de |
| dc.subject.gokfull | Mathematics (PPN61756535X) | de |
| dc.identifier.ppn | 785833048 | |