| The teory of boundary value problems
for monlinear elliptic equations in domains with noncompact boundaries
is one
of the current research field concerning partial differential equations. The main questions discussed in this class of problems are the special behaviors of the solutions in unbounded domains. In this study, the behavior of the solutions of the fourth-order nonlinear elliptic eqquations in unbounded domains are examined. To this end, integral methods are used to establish polynomial growth (or decay) or exponential growth (or decay) of solutions for the problems being considered. More precisely, the energy integrals related to such kind of solutions depending on the structure of the nonlinearity of the corresponding equation and the geometry of the boundary are succesfull investigated. Key words: Phragmen-Lindelof type theorem, Saint-Venant type estimate, Nonlinear fourth order elliptic equation, Integro-differential inequality. Science Code: 403.06.01 |