dc.contributor.advisor | Landes, Rudiger, | en_US |
dc.contributor.author | Borovikova, Marina. | en_US |
dc.date.accessioned | 2013-08-16T12:19:25Z | |
dc.date.available | 2013-08-16T12:19:25Z | |
dc.date.issued | 2004 | en_US |
dc.identifier.uri | https://hdl.handle.net/11244/737 | |
dc.description.abstract | In this thesis we study quasilinear elliptic systems of p-Laplacian type with a perturbation satisfying a natural (critical) growth condition. First, using test functions recently introduced by R. Landes we deduce Caccioppoli-type inequality for bounded weak solutions of such systems. Then we modify the classical approach of Giaquinta and Giusti to obtain higher integrability and as a consequence partial Holder continuity of the above solution. Finally, we deduce weak Harnack inequalities for subsolutions and supersolutions for certain systems. | en_US |
dc.format.extent | vi, 46 leaves : | en_US |
dc.subject | Quasilinearization. | en_US |
dc.subject | Differential equations, Elliptic. | en_US |
dc.subject | Calculus of variations. | en_US |
dc.subject | Mathematics. | en_US |
dc.title | Partial regularity of weak solutions of quasilinear elliptic systems and weak Harnack inequalities. | en_US |
dc.type | Thesis | en_US |
dc.thesis.degree | Ph.D. | en_US |
dc.thesis.degreeDiscipline | Department of Mathematics | en_US |
dc.note | Chair: Rudiger Landes. | en_US |
dc.note | Source: Dissertation Abstracts International, Volume: 65-04, Section: B, page: 1891. | en_US |
ou.identifier | (UMI)AAI3128838 | en_US |
ou.group | College of Arts and Sciences::Department of Mathematics | |