33 citations · 53 across the 46 of their papers we have counts for
8 papers · 2 filters
A blow-up phenomenon for a non-local Liouville-type equation
Luca Battaglia, Maria Medina, Angela Pistoia
We consider a non-local Liouville equation corresponding to the prescription of the geodesic curvature on the circle. We build a family of solutions which blow up at a critical poi…
A complete scenario on nodal radial solutions to the Brezis Nirenberg problem in low dimensions
Annalisa Amadori, Francesca Gladiali, Massimo Grossi +2
In this paper we consider nodal radial solutions of the problem where $2^*=\frac{2N}{N…
Nodal solutions of the Brezis-Nirenberg problem in dimension 6
Angela Pistoia, Giusi Vaira
We show that the classical Brezis-Nirenberg problem when is a bounded domain in has a sign-changing…
A solution to a slightly subcritical elliptic problem with non-power nonlinearity
Monica Clapp, Rosa Pardo, Angela Pistoia +1
We consider a slightly subcritical Dirichlet problem with a non-power nonlinearity in a bounded smooth domain. For this problem, standard compact embeddings cannot be used to guara…
Large conformal metrics with prescribed Gaussian and geodesic curvatures
Luca Battaglia, Maria Medina, Angela Pistoia
We consider the problem of prescribing Gaussian and geodesic curvatures for a conformal metric on the unit disk. This is equivalent to solving the following P.D.E. \begin{equation*…
Sign-changing solutions for the one-dimensional non-local sinh-Poisson equation
Azahara DelaTorre, Gabriele Mancini, Angela Pistoia
We study the existence of sign-changing solutions for a non-local version of the sinh-Poisson equation on a bounded one-dimensional interval , under Dirichlet conditions in the…