44 citations · 218 across the 75 of their papers we have counts for
9 papers · 1 filter
Nonexistence and multiplicity of solutions to elliptic problems with supercritical exponents
Mónica Clapp, Jorge Faya, Angela Pistoia
We consider the supercritical problem -Δu = |u|^{p-2}u in Ω, u=0 on \partialΩ, where is a bounded smooth domain in and Bahr…
Boundary clustered layers near the higher critical exponents
Nils Ackermann, Mónica Clapp, Angela Pistoia
We consider the supercritical problem {equation*} -Δu=|u| ^{p-2}u\text{\in}Ω,\quad u=0\text{\on}\partialΩ, {equation*} where is a bounded smooth domain in and…
Steady states with unbounded mass of the Keller-Segel system
Angela Pistoia, Giusi Vaira
We consider the stationary Keller-Segel system from chemotaxis in a ball and we show the existence of a solution concentrating at the boundary of the ball.
Solutions with multiple alternate sign peaks along a boundary geodesic to a semilinear Dirichlet problem
Teresa D'Aprile, Angela Pistoia
We study the existence of sign-changing multiple interior spike solutions for the following Dirichlet problem {equation*}\e^2Δv-v+f(v)=0\hbox{in}Ω,\quad v=0 \hbox{on}\partial Ω,{eq…
The effect of linear perturbations on the Yamabe problem
Pierpaolo Esposito, Angela Pistoia, Jérôme Vétois
In conformal geometry, the Compactness Conjecture asserts that the set of Yamabe metrics on a smooth, compact, aspherical Riemannian manifold (M,g) is compact. Established in the l…
Blow-up solutions for linear perturbations of the Yamabe equation
Pierpaolo Esposito, Angela Pistoia, Jérôme Vétois
For a smooth, compact Riemannian manifold (M,g) of dimension $N \geg 3$, we are interested in the critical equation where…