• 제목/요약/키워드: BMO coefficients

검색결과 2건 처리시간 0.018초

GLOBAL REGULARITY OF SOLUTIONS TO QUASILINEAR CONORMAL DERIVATIVE PROBLEM WITH CONTROLLED GROWTH

  • Kim, Do-Yoon
    • 대한수학회지
    • /
    • 제49권6호
    • /
    • pp.1273-1299
    • /
    • 2012
  • 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.

GLOBAL W1,2p ESTIMATES FOR NONDIVERGENCE PARABOLIC OPERATORS WITH POTENTIALS SATISFYING A REVERSE HÖLDER CONDITION

  • Pan, Guixia;Tang, Lin
    • 대한수학회지
    • /
    • 제54권5호
    • /
    • pp.1357-1377
    • /
    • 2017
  • In this article, we first give the $L^p$ boundedness of the operator $D^2L^{-1}$ with BMO coefficients and a potential V satisfying an appropriate reverse $H{\ddot{o}}lder$ condition, then obtain global $W^{1,2}_p$ estimates for the nondivergence parabolic operator L with VMO coefficients and a potential V satisfying an appropriate reverse $H{\ddot{o}}lder$ condition.