대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제62권1호
  • /
  • Pages.121-131
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  • 2025
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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HARNACK INEQUALITY FOR PARABOLIC YAMABE-TYPE EQUATION UNDER INTEGRAL CURVATURE CONDITION ON MANIFOLDS

  • Liang Zhao (School of Mathematics Nanjing University of Aeronautics and Astronautics)
  • 투고 : 2024.02.05
  • 심사 : 2024.06.05
  • 발행 : 2025.01.31
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⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we consider Yamabe-type equation ut = Δu + cuσ on complete Riemannian manifolds under integral curvature condition, where c, σ ≤ 1 are real constants. A new local gradient estimate for positive solutions to this equation is derived and as an application, we give a corresponding Harnack inequality.

키워드

과제정보

This work was supported by the Fundamental Research Funds for the Central Universities NS2023040.

참고문헌

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