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Infinitely Many Solutions for the Prescribed Boundary Mean Curvature Problem in 𝔹 N

  • Liping Wang (a1) and Chunyi Zhao
Abstract

We consider the prescribed boundary mean curvature problem in 𝔹 N with the Euclidean metric

where ã(x) is positive and rotationally symmetric on We show that if K∽(x) has a local maximum point, then this problemhas infinitely many positive solutions that are not rotationally symmetric on 𝕊 N−1.

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Canadian Journal of Mathematics
  • ISSN: 0008-414X
  • EISSN: 1496-4279
  • URL: /core/journals/canadian-journal-of-mathematics
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