Least Extremal Solutions of Ill-Posed Neumann Boundary Value Problem for Semilinear Elliptic Equations in L p
2009
In this paper, by the methods of metric generalized inverse in Banach space and Schauder fixed point theorem, we prove the existence of the least extremal solution of an ill-posed Neumann boundary value problem for semilinear elliptic equations in L p and give a necessary and sufficient condition for a function to be the least extremal solution of the ill-posed Neumann boundary value problem.
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