7 papers
Sign-changing multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions
Angela Pistoia, Giuseppe Mario Rago, Giusi Vaira
We construct families of sign-changing solutions for the four-dimensional Brezis--Nirenberg problem \[ -Δu=u^3+\varepsilon u\quad\text{in }Ω,\qquad u=0\quad\text{on }\partialΩ, \]…
On the minimal diameter of finite covers
Yifei Cai, Qiliang Luo
We prove that every closed hyperbolic surface admits a sequence of finite covers with asymptotically optimal diameters.
Sign-changing solutions to the Yamabe problem on a spherical cap
Mónica Clapp, Benedetta Pellacci, Angela Pistoia
Spherical caps play a crucial role in establishing a criterion for the existence of solutions to the Yamabe problem on a compact Riemannian manifold with boundary, similar to the r…
Blowing-up solutions to a critical 4D Neumann system in a competitive regime
Qing Guo, Angela Pistoia, Shixin Wen
We build blowing-up solutions to the critical elliptic system with Neumann boundary condition, \begin{equation*} \begin{cases} -Îu_1 + λu_1 = u_1^{3} -βu_1u_2^2 & \text{in } Ω,…
Entire solutions to a strongly competitive nonlinear Schrödinger system
Pierpaolo Esposito, Pablo Figueroa, Angela Pistoia +1
We build infinitely-many non-radial positive solutions to the Schrödinger system \begin{equation*} \left\{\begin{aligned} &-Îu_1+u_1=u_1^{{\mathfrak p} }-Îu_1^{a_1} u_2^{a_2}\ \…
Sign-changing solutions for critical Hamiltonian systems in
Yuxia Guo, Seunghyeok Kim, Angela Pistoia +1
We build infinitely many geometrically distinct non-radial sign-changing solutions for the Hamiltonian-type elliptic systems $$ -Îu =|v|^{p-1}v\ \hbox{in}\ \mathbb{R}^N,\ -Îv =|u…