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Harnack Type Inequality: the Method of Moving Planes

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Abstract:

A Harnack type inequality is established for solutions to some semilinear elliptic equations in dimension two. The result is motivated by our approach to the study of some semilinear elliptic equations on compact Riemannian manifolds, which originated from some Chern–Simons Higgs model and have been studied recently by various authors.

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, Piscataway, NJ 08854-8019, USA.¶E-mail: yyli@math.rutgers.edu, , , , , , US

    Yan Yan Li

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  1. Yan Yan Li
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Received: 30 September 1997 / Accepted: 21 July 1998

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Li, Y. Harnack Type Inequality: the Method of Moving Planes. Comm Math Phys 200, 421–444 (1999). https://doi.org/10.1007/s002200050536

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  • DOI: https://doi.org/10.1007/s002200050536

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