In this note we prove the existence of extremal solutions of a quasilinear Neumann problem. Assuming the existence of an upper solution and a lower solution, we obtain the existence of a solution, belonging to C1(T), of the quasilinear Neumann problem as a consequence of a fixed point result called the nonlinear alternative of Leray-Schauder. Then we also show the existence of extremal solutions.
The Neumann problem for quiasilinear differential equations
CARDINALI, Tiziana;
2004
Abstract
In this note we prove the existence of extremal solutions of a quasilinear Neumann problem. Assuming the existence of an upper solution and a lower solution, we obtain the existence of a solution, belonging to C1(T), of the quasilinear Neumann problem as a consequence of a fixed point result called the nonlinear alternative of Leray-Schauder. Then we also show the existence of extremal solutions.File in questo prodotto:
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