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math.AP2018
Solutions of the Yamabe Equation By Lyapunov-Schmidt Reduction
Jorge Davila, Isidro H. Munive
Given any closed Riemannian manifold we use the Lyapunov-Schmidt finite-dimensional reduction method and the classical Morse and Lusternick-Schnirelmann theories to prove m…
math.AP2018
Compactness methods for boundary Schauder estimates in Carnot groups
Agnid Banerjee, Nicola Garofalo, Isidro Munive
The aim of this paper is to prove Schauder estimates near a non-characteristic portion of the boundary for perturbations of horizontal Laplaceans in…