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The Phragmèn-Lindelöf Theorem for a Fully Nonlinear Elliptic Problem with a Dynamical Boundary Condition

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Book cover Geometric Properties for Parabolic and Elliptic PDE's (GPPEPDEs 2015)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 176))

Abstract

The Phragmén-Lindelöf theorem is established for viscosity solutions of fully nonlinear second order elliptic equations in a half space of \(\mathbb {R}^n\) with a dynamical boundary condition.

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Acknowledgments

The authors would like to express their thanks to referees for helpful comment to improve the original manuscript. The first author of this paper was supported partially by the Grant-in-Aid for Scientific Research (A)(No. 15H02058) from Japan Society for the Promotion of Science.

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Authors and Affiliations

  1. Mathematical Institute, Tohoku University, Aoba, Sendai, 980-8578, Japan

    Kazuhiro Ishige

  2. Faculty of Symbiotic Systems Science, Fukushima University, Fukushima, 960-1296, Japan

    Kazushige Nakagawa

Authors
  1. Kazuhiro Ishige
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  2. Kazushige Nakagawa
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Correspondence to Kazushige Nakagawa .

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Editors and Affiliations

  1. Dipartimento di Matematica, Politecnico di Milano, Milano, Milano, Italy

    Filippo Gazzola

  2. Mathematical Institute, Tohoku University, Sendai, Japan

    Kazuhiro Ishige

  3. Dip. di Matematica e Applicazioni, Università degli Studi di Napoli Federico II, Monte S. Angelo, Napoli, Italy

    Carlo Nitsch

  4. Dipartimento di Matematica Ulisse Dini, Università degli Studi di Firenze, Firenze, Firenze, Italy

    Paolo Salani

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Ishige, K., Nakagawa, K. (2016). The Phragmèn-Lindelöf Theorem for a Fully Nonlinear Elliptic Problem with a Dynamical Boundary Condition. In: Gazzola, F., Ishige, K., Nitsch, C., Salani, P. (eds) Geometric Properties for Parabolic and Elliptic PDE's. GPPEPDEs 2015. Springer Proceedings in Mathematics & Statistics, vol 176. Springer, Cham. https://doi.org/10.1007/978-3-319-41538-3_10

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