Alberto Saldaña

activity

20112024

most citedOn the maximum principle for higher-order fractional Laplacians

27 citations · 64 across the 26 of their papers we have counts for

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Showing 2018Show all

3 papers · 1 filter

math.AP2018

On fractional higher-order Dirichlet boundary value problems: between the Laplacian and the bilaplacian

Alberto Saldaña

The solutions of boundary value problems for the Laplacian and the bilaplacian exhibit very different qualitative behaviors. Particularly, the failure of general maximum principles…

math.AP2018★ 6 cited

Sharp concentration estimates near criticality for radial sign-changing solutions of Dirichlet and Neumann problems

Massimo Grossi, Alberto Saldaña, Hugo Tavares

We consider radial solutions of the slightly subcritical problem $- Δ u_{ε} = ∣ u_{ε} ∣^{\frac{4}{n - 2} - ε} u_{ε}$ either on $R^{n}$ ( $n \geq 3$ ) or…

math.AP2018

Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions

Nicola Abatangelo, Serena Dipierro, Mouhamed Moustapha Fall +2

We present explicit formulas for solutions to nonhomogeneous boundary value problems involving any positive power of the Laplacian in the half-space. For non-integer powers the ope…