26 citations · 28 across the 6 of their papers we have counts for
6 papers
On some singularly perturbed elliptic systems modeling partial segregation: uniform Hölder estimates and basic properties of the limits
Nicola Soave, Susanna Terracini
We prove uniform Hölder estimates in a class of singularly perturbed competition-diffusion elliptic systems, with the particular feature that the interactions between the component…
Antisymmetric maximum principles and Hopf's lemmas for the Logarithmic Laplacian, with applications to symmetry results
Luigi Pollastro, Nicola Soave
We prove antisymmetric maximum principles and Hopf-type lemmas for linear problems described by the Logarithmic Laplacian. As application, we prove the symmetry of solutions for se…
The Lane-Emden system on Cartan-Hadamard manifolds: asymptotics and rigidity of radial solutions
Matteo Muratori, Nicola Soave
We investigate existence and qualitative properties of globally defined and positive radial solutions of the Lane-Emden system, posed on a Cartan-Hadamard model manifold $ \mathbb{…
On Coron's problem for weakly coupled elliptic systems
Angela Pistoia, Nicola Soave
We consider the following critical weakly coupled elliptic system \[ \begin{cases} -Δu_i = μ_i |u_i|^{2^*-2}u_i + \sum_{j \neq i} β_{ij} |u_j|^{\frac{2^*}{2}} |u_i|^{\frac{2^*-4}{2…
Avoiding collisions under topological constraints in variational problems coming from celestial mechanics
Nicola Soave, Susanna Terracini
In a singular potential setting, we generalize a method which allows to show that minimizers under topological constraints of the action functional (or of the Maupertuis') are coll…
Liouville theorems and -dimensional symmetry for solutions of an elliptic system modelling phase separation
Nicola Soave, Susanna Terracini
We consider solutions of the competitive elliptic system \[ \left\{ \begin{array}{ll} -Δu_i = - \sum_{j \neq i} u_i u_j^2 & \text{in } \\ u_i >0 & \text{in $\mathbb{R…