We study solutions a Dirichlet problem involving the fractional laplacian in a starhaped ring, proving that, under suitable assumption on the structure of the equation, the solution has starshaped super level sets.
Starshapedness of the superlevel sets of solutions to equations involving the fractional Laplacian in starshaped rings / Jarohs, Sven; Kulczycki, Tadeusz; Salani, Paolo. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - STAMPA. - 292:(2019), pp. 1008-1021. [10.1002/mana.201700226]
Starshapedness of the superlevel sets of solutions to equations involving the fractional Laplacian in starshaped rings
Salani, Paolo
2019
Abstract
We study solutions a Dirichlet problem involving the fractional laplacian in a starhaped ring, proving that, under suitable assumption on the structure of the equation, the solution has starshaped super level sets.File in questo prodotto:
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