Abstract:
In this thesis, the existence of positive classical super solutions of non linear biharmonic equations of the certain problem is investigated on
restricted domain. To do this, we considered non decreasing continu ous function by considering a certain non negative density fuction. To
achieve our stated objectives, we applied a maximum principle based
arguments which give explicit estimates on positive super solution that
can easily be applied to get Liouville type results for positive super so lutions either in exterior or unbounded domains. The final result of the
findings illustrate in an explicit way for the existince of positive super
solutions of higher order specifically the fourth order. Therefore, the
obtained results solve the complexity of determining the existence of
positive super solutions for higher order partial differential equations.
