Some remarks related to De Giorgi’s conjecture

  • Du Y
  • Ma L
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Abstract

For several classes of functions including the special case f(u) = u - u 3 , we obtain boundedness and symmetry results for solutions of the problem -δu = f(u) defined on R n . Our results complement a number of recent results related to a conjecture of De Giorgi.

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Du, Y., & Ma, L. (2002). Some remarks related to De Giorgi’s conjecture. Proceedings of the American Mathematical Society, 131(8), 2415–2422. https://doi.org/10.1090/s0002-9939-02-06867-3

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