33 citations · 36 across the 4 of their papers we have counts for
7 papers · 1 filter
Critical equations with a sharp change of sign in the nonlinearity
Mónica Clapp, Jorge Faya, Alberto Saldaña
We establish the existence and nonexistence of entire solutions to a semilinear elliptic problem whose nonlinearity is the critical power multiplied by a function that takes the va…
Concentration on the Boundary and Sign-Changing Solutions for a Slightly Subcritical Biharmonic Problem
Salomón Alarcón, Jorge Faya, Carolina Rey
We consider the fourth-order nonlinear elliptic problem: \begin{equation*} \begin{array}{ll} Δ(a(x)Δu) = a(x) \left\vert u \right\vert^{p-2-ε} u \ \text{ in } \ Ω, \hspace{0.6cm} u…
Optimal pinwheel partitions for the Yamabe equation
Mónica Clapp, Jorge Faya, Alberto Saldaña
We establish the existence of an optimal partition for the Yamabe equation in the whole space made up of mutually linearly isometric sets, each of them invariant under the action o…
Multiple solutions to a weakly coupled purely critical elliptic system in bounded domains
Mónica Clapp, Jorge Faya
We study the weakly coupled critical elliptic system \begin{equation*} \begin{cases} -Δu=μ_{1}|u|^{2^{*}-2}u+λα|u|^{α-2}|v|^βu & \text{in }Ω,\\ -Δv=μ_{2}|v|^{2^{*}-2}v+λβ|u|^α|v|^{…
Positive solutions to a supercritical elliptic problem which concentrate along a thin spherical hole
Mónica Clapp, Jorge Faya, Angela Pistoia
We consider the supercritical problem \[ -Δv=|v|^{p-2}v in Θ_ε, v=0 on \partialΘ_ε, \] where is a bounded smooth domain in , , , a…
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…