William P. Ziemer

Best Publications

• Weakly differentiable functions

  William P. Ziemer

  3011
  Citations

• Fine Regularity of Solutions of Elliptic Partial Differential Equations

  Jan Malý;William P. Ziemer

  766
  Citations

• Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation

  Unknown

  650
  Citations

• Minimal rearrangements of Sobolev functions.

  Unknown

  409
  Citations

• Extremal length and conformal capacity

  William P. Ziemer

  198
  Citations

• The Lebesgue Set of a Function whose Distribution Derivatives are p-th Power Summable

  Unknown

  194
  Citations

• A regularity condition at the boundary for solutions of quasilinear elliptic equations

  Ronald Gariepy;William P. Ziemer

  188
  Citations

• Extremal length and $p$-capacity.

  Unknown

  168
  Citations

• The co-area formula for Sobolev mappings

  Jan Malý;David Swanson;William Ziemer

  167
  Citations

• Interior and boundary continuity of weak solutions of degenerate parabolic equations

  William P. Ziemer

  142
  Citations

• Gauss-Green Theorem for Weakly Differentiable Vector Fields, Sets of Finite Perimeter, and Balance Laws

  Gui-Qiang Chen;Monica Torres;William P. Ziemer

  137
  Citations

• Existence, uniqueness, and regularity for functions of least gradient

  P. Sternberg;G. Williams;W. P. Ziemer

  135
  Citations

• Interior regularity for solutions to obstacle problems

  J H Michael;W P Ziemer

  87
  Citations

• Local behavior of solutions of quasilinear elliptic equations with general structure

  J.-M. Rakotoson;William P. Ziemer

  83
  Citations

• Generalized Motion by Curvature with a Dirichlet Condition

  P. Sternberg;W.P. Ziemer

  79
  Citations

• Pointwise differentiability and absolute continuity

  Thomas Bagby;William P. Ziemer

  79
  Citations

• Area minimizing sets subject to a volume constraint in a convex set

  Unknown

  73
  Citations

• Geometric Measure Theory and the Axioms of Continuum Thermodynamics

  Morton E. Gurtin;Morton E. Gurtin;William O. Williams;William O. Williams;William P. Ziemer;William P. Ziemer

  72
  Citations

• Integral Inequalities of Poincare and Wirtinger Type for BV Functions

  Unknown

  66
  Citations

• Cauchy Flux and Sets of Finite Perimeter

  William P. Ziemer

  58
  Citations