15 citations · 19 across the 8 of their papers we have counts for
9 papers
A Supercritical Problem in Dimension Two
Manuel del Pino, Ignacio Guerra, Monica Musso
Let be a smooth bounded domain containing the origin and invariant under reflection across the coordinate axes, and let , where is the f…
Cluster of vortex helices in the incompressible d Euler equations
Ignacio Guerra, Monica Musso
In an inviscid and incompressible fluid in dimension 3, we prove the existence of several helical filaments, or vortex helices, collapsing into each others.
Large global-in-time solutions of the parabolic-parabolic Keller-Segel system on the plane
Piotr Biler, Ignacio Guerra, Grzegorz Karch
As it is well known, the parabolic-elliptic Keller-Segel system of chemotaxis on the plane has global-in-time regular nonnegative solutions with total mass below the critical value…
Stable solutions for the bilaplacian with exponential nonlinearity
Juan Davila, Louis Dupaigne, Ignacio Guerra +1
Let denote the largest possible value of such that \begin{align*} \left\{\begin{aligned} Δ^2 u & = \la e^u && \text{in } u &= \pd{u}{n} = 0 && \text{on $ \pa B $} \…
Perturbing singular solutions of the Gelfand problem
Juan Davila, Louis Dupaigne, Ignacio Guerra +1
he equation posed in the unit ball , with homogeneous Dirichlet condition , has the singular solution when…
Asymptotic behaviour of a semilinear elliptic system with a large exponent
Ignacio Guerra
Consider the problem \begin{eqnarray*} -Δu &=& v^{\frac 2{N-2}},\quad v>0\quad {in}\quad Ω, -Δv &=& u^{p},\:\:\:\quad u>0\quad {in}\quad Ω, u&=&v\:\:=\:\:0 \quad {on}\quad \partial…