Equations with Order Preserving Properties.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Pagination or Media Count:
The author first proves positivity properties of solutions of second order elliptic equations maximum principle by variational techniques. Then, using abstract fixed point theorems for increasing maps in ordered sets, he obtains existence and order preserving properties of solutions of some nonlinear equations, variational inequalities and quasivariational inequalities. Finally, some order preserving properties of generalized Riccati equations are introduced briefly.
- Theoretical Mathematics