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The asymptotic behaviour of p-capacitary potentials in asymptotically conical manifolds

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We study the asymptotic behaviour of the p-capacitary potential and of the weak inverse mean curvature flow of a bounded set along the ends of an asymptotically conical Riemannian manifolds with asymptotically nonnegative Ricci curvature.

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Acknowledgements

The authors warmly thank the anonymous referee for his/her very careful reading and for the valuable advices and remarks, that helped improving the quality of the paper. The authors are also grateful to V. Agostiniani, F. Oronzio, G. Antonelli for precious discussions and comments during the preparation of this manuscript. The authors are members of Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA).

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  1. Università Degli Studi di Trento, Via Sommarive 14, 38123, Povo, TN, Italy

    Luca Benatti & Lorenzo Mazzieri

  2. Università degli Studi di Padova, via Trieste 63, 35131, Padova, PD, Italy

    Mattia Fogagnolo

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  1. Luca Benatti
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Benatti, L., Fogagnolo, M. & Mazzieri, L. The asymptotic behaviour of p-capacitary potentials in asymptotically conical manifolds. Math. Ann. 388, 99–139 (2024). https://doi.org/10.1007/s00208-022-02515-4

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