대한수학회지 (Journal of the Korean Mathematical Society)

  • 제49권6호
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  • Pages.1273-1299
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  • 2012
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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GLOBAL REGULARITY OF SOLUTIONS TO QUASILINEAR CONORMAL DERIVATIVE PROBLEM WITH CONTROLLED GROWTH

  • Kim, Do-Yoon (Department of Applied Mathematics Kyung Hee University)
  • 투고 : 2011.08.09
  • 발행 : 2012.11.01
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초록

We prove the global regularity of weak solutions to a conormal derivative boundary value problem for quasilinear elliptic equations in divergence form on Lipschitz domains under the controlled growth conditions on the low order terms. The leading coefficients are in the class of BMO functions with small mean oscillations.

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과제정보

연구 과제 주관 기관 : Kyung Hee University

참고문헌

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피인용 문헌

  1. Lorentz Estimates for Weak Solutions of Quasi-linear Parabolic Equations with Singular Divergence-free Drifts pp.1496-4279, 2019, https://doi.org/10.4153/CJM-2017-049-3