On Lane-Emden equation and some variations

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dc.contributor.authorZaherparandaz, Aidin
dc.contributor.authorZaherparandaz, Aidin
dc.contributor.examiningcommitteeLui, Shaun (Mathematics)en_US
dc.contributor.examiningcommitteeSlevinsky, Richard (Mathematics)en_US
dc.contributor.supervisorCowan, Craig (Mathematics)en_US
dc.date.accessioned2020-09-09T12:23:54Z
dc.date.available2020-09-09T12:23:54Z
dc.date.copyright2020-08-23
dc.date.issued2020en_US
dc.date.submitted2020-08-23T08:54:49Zen_US
dc.degree.disciplineMathematicsen_US
dc.degree.levelMaster of Science (M.Sc.)en_US
dc.description.abstractn this thesis some Lane-Emden problems of different order are studied. Tackling the issue of existence of a positive solution and regularity of the solutions are of paramount importance for each instance. In addition to discussing the general Lane-Emden equation, the cases of having an advection term to the original problem and investigating some fourth order nonlinear Dirichlet and Navier problems are of considerable interest. While the well-studied general equation points out that for p≥N+2/N−2 and Ω a star-shaped domain in RN there would be no non-trivial solution, some advantageous results regarding the existence of a positive solution and regularity of the solutions on a general bounded domain inRNare addressed for the equations where an advection is involved, as well as some nonlinear fourth order problem with given Dirichlet and Navier boundary conditions.en_US
dc.description.noteOctober 2020en_US
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dc.identifier.urihttp://hdl.handle.net/1993/35009
dc.language.isoengen_US
dc.rightsopen accessen_US
dc.subjectElliptic partial differential equationsen_US
dc.titleOn Lane-Emden equation and some variationsen_US
dc.typemaster thesisen_US
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