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math.AP2022
Compactness estimates for minimizers of the Alt-Phillips functional of negative exponents
Daniela De Silva, Ovidiu Savin
We investigate the rigidity of global minimizers of the Alt-Phillips functional involving negative power potentials $$\int_Ω\left(|\nabla u|^2 + u^{-γ} χ_{\{u>0\}}\right)…
math.AP2022★ 1 cited
The Alt-Phillips functional for negative powers
Daniela De Silva, Ovidiu Savin
We develop the free boundary regularity for nonnegative minimizers of the Alt-Phillips functional for negative power potentials $$\int_Ω\left(\frac 1 2 |\nabla u|^2 + u^γ χ_{\{u>0\…