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The Alt-Phillips functional for negative powers by De Silva, Daniela; Savin, Ovidiu is a scholarly article available to read on EtoBox.

What is The Alt-Phillips functional for negative powers about?

We develop the free boundary regularity for nonnegative minimizers of the Alt-Phillips functional for negative power potentials $$\int_\Omega \left(\frac 1 2 |\nabla u|^2 + u^{\gamma} \chi_{\{u>0\}}\right) \, dx, \quad \quad \gamma \in (-2,0),$$ and establish a $\Gamma$-convergence result of the rescaled energies to the perimeter functional as $\gamma \to -2$.

Author

De Silva, Daniela; Savin, Ovidiu

Published

2022

Language

EN