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Existence results for the conformal Dirac-Einstein system
Chiara Guidi, Ali Maalaoui, Vittorio Martino
In this paper we consider the coupled system given by the first variation of the conformal Dirac-Einstein functional. We will show existence of solutions by means of perturbation m…
Palais-Smale sequences for the fractional CR Yamabe functional and multiplicity results
Chiara Guidi, Ali Maalaoui, Vittorio Martino
In this paper we consider the functional whose critical points are solutions of the fractional CR Yamabe type equation on the sphere. We firstly study the behavior of the Palais-Sm…
Abstract approach to non homogeneous Harnack inequality in doubling quasi metric spaces
Chiara Guidi, Annamaria Montanari
We develop an abstract theory to obtain Harnack inequality for non homogeneous PDEs in the setting of quasi metric spaces. The main idea is to adapt the notion of double ball and c…
Nonsmooth viscosity solutions of elementary symmetric functions of the complex Hessian
Chiara Guidi, Vittorio Martino, Annamaria Montanari
In this paper we prove the existence of nonsmooth viscosity solutions for Dirichlet problems involving elementary symmetric functions of the eigenvalues of the complex Hessian.