44 citations · 218 across the 75 of their papers we have counts for
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Asymmetric blow-up for the SU(3) Toda System
Teresa D'Aprile, Angela Pistoia, David Ruiz
We consider the so-called Toda system in a smooth planar domain under homogeneous Dirichlet boundary conditions. We prove the existence of a continuum of solutions for which both c…
Concentration on minimal submanifolds for a Yamabe type problem
Shengbing Deng, Monica Musso, Angela Pistoia
We construct solutions to a Yamabe type problem on a Riemannian manifold M without boundary and of dimension greater than 2, with nonlinearity close to higher critical Sobolev expo…
Critical points of the N-vortex Hamiltonian in bounded planar domains and steady state solutions of the incompressible Euler equations
Thomas Bartsch, Angela Pistoia
We prove the existence of critical points of the -vortex Hamiltonian $H_Ω(x_1,\ldots, x_N) =\sum\limits^N_{i=1}Γ^2_i h(x_i) + \sum\limits_{i,j=1\atop j\not= k}^N Γ_iΓ_jG(x_i,x_j…
A continuum of solutions for the SU(3) Toda System exhibiting partial blow-up
Teresa D'Aprile, Angela Pistoia, David Ruiz
In this paper we consider the so-called Toda System in planar domains under Dirichlet boundary condition. We show the existence of continua of solutions for which one component is…
Bubbling solutions for supercritical problems on manifolds
Juan Dàvila, Giusi Vaira, Angela Pistoia
Let be a dimensional compact Riemannian manifold without boundary and be a non degenerate closed geodesic of . We prove that the supercritical problem $$-Δ_g…
Large mass boundary condensation patterns in the stationary Keller-Segel system
Manuel del Pino, Giusi Vaira, Angela Pistoia
We consider the boundary value problem in with Neumann boundary condition, where is a bounded smooth domain in , This problem is equival…