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math.FA2015
Global invertibility and implicit function theorems by mountain pass theorem
Dorota Bors, Robert Stańczy
We formulate some global invertibility and implicit function theorems. We extend the result of Idczak, Skowron and Walczak on the invertibility of the operators to the case of the…
math.FA2011
Multiple solutions for equations involving bilinear, coercive and compact forms with applications to differential equations
Robert Stańczy
The existence of multiple fixed points for the coercive, bilinear, compact forms defined in the cone in the Banach space. Multiple applications to the integral equations derived fr…