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20142026
most citedRadial symmetry of solutions to anisotropic and weighted diffusion equations with discontinuous nonlinearities

21 citations · 35 across the 17 of their papers we have counts for

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math.AP2018

Stable solutions to some elliptic problems: minimal cones, the Allen-Cahn equation, and blow-up solutions

Xavier Cabre, Giorgio Poggesi

These notes record the lectures for the CIME Summer Course taught by the first author in Cetraro during the week of June 19-23, 2017. The notes contain the proofs of several result…

math.AP2018★ 1 cited

Radial symmetry for p-harmonic functions in exterior and punctured domains

Giorgio Poggesi

We prove symmetry for the p-capacitary potential satisfying $$ Δ_p u = 0 \, \mbox{ in } \mathbb{R}^N \setminus \overlineΩ , \; u=1 \, \mbox{ on } Γ, \; \lim_{|x|\rightarrow \infty}…