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Qualitative Properties for Solutions of Nonlinear Equations and Systems involving Higher Order and Fractional Order Laplacians
(ProQuest Dissertations & Theses, 2015)
In this thesis, We prove general symmetry and uniqueness results for positive solutions of nonlinear equations and systems involving higher order and fractional order Laplacians.;First, we study weighted higher order ...
Direct Methods for Problems Involving the Nonlocal Elliptic Operators
(ProQuest Dissertations & Theses, 2016)
In this thesis, we consider problems involving the fractional Laplacians and the uniformly elliptic nonlocal operators. The thesis is mostly devoted to presenting our original work on the progress obtained in the development ...