Jorge Faya

activity

20122025

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

33 citations · 36 across the 7 of their papers we have counts for

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2 papers · 1 filter

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…