Jorge Faya

activity

20122018

most citedNonexistence and multiplicity of solutions to elliptic problems with supercritical exponents

33 citations · 36 across the 3 of their papers we have counts for

collaborators

4 papers

math.AP2018

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|^{…

math.AP2013★ 3 cited

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 $Θ$ is a bounded smooth domain in $R^{N}$ , $N \geq 3$ , $p > 2^{*} := 2 N / (N - 2)$ , a…

math.AP2012★ 33 cited

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 $Ω$ is a bounded smooth domain in $R^{N},$ $N \geq 3,$ and $p \geq 2^{*} := 2 N / (N - 2) .$ Bahr…

math.AP2012

Multiple solutions to the Bahri-Coron problem in some domains with nontrivial topology

Mónica Clapp, Jorge Faya

We show that in every dimension $N \geq 3$ there are many bounded domains $Ω \subset R^{N}$ , having only finite symmetries, in which the Bahri-Coron problem \[-Δu=|u| ^{4/(N-2…