• POSITIVITY-NEGATIVITY AND EMBEDDING THEOREMS FOR ELLIPTIC SYSTEMS
Abstract
In this paper we study embedding of a non co-operative elliptic system into a cooperative elliptic system and positivity of a solution. Using the results of Figueiredo and Mitidieri, [1], we slightly modify the Theorem and obtain positivity-negativity Theorem. In section 3, we obtain a Theorem for positivity of a solution of non co-operative elliptic system by embedding it into a co-operative elliptic system. Section 4 deals with positivity of solution of higher order elliptic equations. This work is the extension of the work of Figueiredo and Mitidieri,[1].
Keywords
Boundary value problems for elliptic systems. General theory of elliptic systems of PDE, BVP for higher order elliptic equations.
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