The Alexandrov–Bakelman–Pucci estimate bounds the positive maximum of a function by its boundary maximum and an norm of the negative part of a uniformly elliptic operator applied to it. It yields a maximum principle and a sup-norm estimate for elliptic equations with measurable principal coefficients.

Ancestors (8)

  1. Weak maximum principle for elliptic operators
  2. Uniformly elliptic operator
  3. Elliptic boundary value problem
  4. Partial differential equation
  5. Analysis
  6. Area of mathematics
  7. Mathematics
  8. Home

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