44 citations · 218 across the 75 of their papers we have counts for
95 papers
Simplicity of eigenvalues for elliptic problems with mixed Steklov-Robin boundary condition
Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia
This paper investigates the spectral properties of two classes of elliptic problems characterized by mixed Steklov-Robin boundary conditions. Our main objective is to prove that, f…
Sign-changing solutions to the Yamabe problem on manifolds with boundary
Mónica Clapp, Benedetta Pellacci, Angela Pistoia
Let be a compact Riemannian manifold with boundary. The Yamabe problem concerning the existence of a metric conformally equivalent to having constant scalar curvature…
Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions
Angela Pistoia, Giuseppe Mario Rago, Giusi Vaira
The paper addresses the existence of multi-bubble solutions for the well-known Brezis-Nirenberg problem. Although there is extensive literature on the subject, the existence of sol…
Multiple solutions to a semilinear elliptic equation with a sharp change of sign in the nonlinearity
Mónica Clapp, Angela Pistoia, Alberto Saldaña
We consider a nonautonomous semilinear elliptic problem where the power nonlinearity is multiplied by a discontinuous coefficient that equals one inside a bounded open set and…
Bubble solution for the critical Hartree equation in pierced domain
Marco Ghimenti, Xiaomeng Huang, Angela Pistoia
In this article, we establish the existence of solutions to the following critical Hartree equation \begin{align*} \begin{cases} -Δu=\left(\int_{Ω_\varepsilon}\frac{u^{2_μ^*}}{|x-y…
On a critical Hamiltonian system with Neumann boundary conditions
Angela Pistoia, Delia Schiera
We consider the Hamiltonian system with Neumann boundary conditions: \[ -Δu + μu=v^{q }, \quad -Δv+ μv=u^{p} \quad \text{ in }, \qquad u, v >0 \quad \text{ in ,} \qquad \part…