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math.FA2018★ 4 cited
Surjection and inversion for locally Lipschitz maps between Banach spaces
Olivia Gutú, Jesús A. Jaramillo
We study the global invertibility of non-smooth, locally Lipschitz maps between infinite-dimensional Banach spaces, using a kind of Palais-Smale condition. To this end, we consider…
math.FA2018★ 5 cited
Chang Palais-Smale condition and global inversion
Olivia Gutú
Let f be local diffeomorphism between real Banach spaces. We prove that if the locally Lipschitz functional F(x)=1/2|f(x)-y|^2 satisfies the Chang Palais-Smale condition for all y…