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A uniqueness result for a Neumann problem involving the critical Sobolev exponent

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Abstract.

 In this paper we consider the problem

where B is a ball in R n. For a small d>0, we show the uniqueness (up to rotation) of the one-bubbling solution which concentrates at a point of the boundary.

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Authors and Affiliations

  1. Dipartimento di Matematica, Universitá di Roma ``La Sapienza'', P.le A. Moro 2,00185, Roma, Italy, (e-mail: grossi@mat.uniroma1.it), , , , , , IT

    Massimo Grossi

  2. Department of Mathematics, National Chung-Cheng University, Minghsiung, Chia-Yi, Taiwan, National Center for Theoretical Sciences, NSC. (e-mail: cslin@math.ccu.edu.tw), , , , , , TW

    Chang-Shou Lin

  3. Tifr Centre, II Sc Campus, Bangalore, 5600062, India (e-mail: pras@math.tifrbng.res.it), , , , , , IN

    S. Prashanth

Authors
  1. Massimo Grossi
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  2. Chang-Shou Lin
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  3. S. Prashanth
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Additional information

Received: 12 December 2001 / Published online: 10 February 2003

RID="⋆"

ID="⋆" Supported by M.U.R.S.T., project: ``Variational methods and nonlinear differential equations''

RID="⋆⋆"

ID="⋆⋆" Partial supported by National Center for Theoretical Sciences of NSC, Taiwan

Mathematics Subject Classification (2000): 35J60

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Grossi, M., Lin, CS. & Prashanth, S. A uniqueness result for a Neumann problem involving the critical Sobolev exponent. Math. Ann. 325, 643–664 (2003). https://doi.org/10.1007/s00208-002-0393-6

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  • DOI: https://doi.org/10.1007/s00208-002-0393-6

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