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By using the Krasnoselskii fix point theorem, an existence result of positive solutions to the above boundary value problem is enunciated.
Particularly, one may use it to establish a prior bound of solutions for nonlinear elliptic equations by the blow-up method, then various methods, such as topological degree, fix point theorems etc., can be used to obtain the existence of solutions for such problems; see for instance [1] and [2].
Similar(58)
Hence, has fixed point and fixed point.
Therefore, has fixed point and fixed point.
Generalized fixed point theorems.
(Brouwer fixed point theorem).
(Banach fixed point theorem).
(Browder fixed point theorem).
(Kakutani fixed point theorem).
By Schauder fixed point theorem, has a fixed point.
(b) Fixed point population correction.
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