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Semilinear elliptic partial differential equations with the critical Sobolev exponent

We present how variational methods and results from linear and non-linear functional analysis are applied to solving certain types of semilinear elliptic partial differential equations (PDEs). The ultimate goal is to prove results on the existence and non-existence of solutions to the Semilinear Ell...

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Bibliographic Details
Main Author: Mavuso, Melusi Manqoba
Other Authors: Ebobisse Bille, Francois
Format: Thesis
Language:English
Published: Department of Mathematics and Applied Mathematics 2017
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