Weighted aleksandrov estimates: PDE and stochastic versions

N. V. Krylov

Research output: Contribution to journalArticlepeer-review


Several pointwise estimates are proved for solutions of linear elliptic equations with measurable coefficients in smooth domains through the weighted Ldnorm of the free term. The weights allow the free term to blow up near the boundary. Weighted estimates for occupation times of diffusion processes are also presented.

Original languageEnglish (US)
Pages (from-to)509-520
Number of pages12
JournalSt. Petersburg Mathematical Journal
Issue number3
StatePublished - 2020

Bibliographical note

Publisher Copyright:
© 2020 American Mathematical Society.


  • Aleksandrov estimates
  • Elliptic equations
  • Weights


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