William P. Ziemer

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All published works

Action	Title	Year	Authors
+	Functions of Several Variables	2017	William P. Ziemer
+	Elements of Functional Analysis	2017	William P. Ziemer
+	Measures and Linear Functionals	2017	William P. Ziemer
+	Measurable Functions	2017	William P. Ziemer
+	Aspects of area formulas by way of Luzin, Radó, and Reichelderfer on metric measure spaces	2015	Niko Marola William P. Ziemer
+	Aspects of area formulas by way of Luzin, Radó, and Reichelderfer on metric measure spaces	2015	Niko Marola William P. Ziemer
+	Remembering Herbert Federer (1920--2010)	2012	Harold R. Parks Leslie Vaaler John Wermer William K. Allard Robert Hardt William P. Ziemer Wendell H. Fleming
+ PDF Chat	Fine behavior of functions whose gradients are in an Orlicz space	2008	Jan Malý David Swanson William P. Ziemer
+ PDF Chat	Gauss‐Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws	2008	Gui‐Qiang Chen William P. Ziemer Monica Torres
+	On Sobolev-type functions on metric spaces: Luzin, Rado, and Reichelderfer	2008	Niko Marola William P. Ziemer
+	Aspects of area formulas by way of Luzin, Rad\'o, and Reichelderfer on metric measure spaces	2008	Niko Marola William P. Ziemer
+	THE COAREA FORMULA, CONDITION (N) AND RECTIFIABLE SETS FOR SOBOLEV FUNCTIONS ON METRIC SPACES	2008	Niko Marola William P. Ziemer
+	Sobolev-type functions on metric spaces: area and co-area formulas by way of Luzin, Rado, and Reichelderfer	2008	Niko Marola William P. Ziemer
+	The Gauss-Green theorem for weakly differentiable vector fields	2008	William P. Ziemer
+	Aspects of area formulas by way of Luzin, Radó, and Reichelderfer on metric measure spaces	2008	Niko Marola William P. Ziemer
+ PDF Chat	Measure-Theoretic Analysis and Nonlinear Conservation Laws	2007	Gui‐Qiang Chen Monica Torres William P. Ziemer
+	Gauss-Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws	2007	G.Q. Chen Monica Torres William P. Ziemer
+	The Image of a Weakly Differentiable Mapping	2004	David Swanson William P. Ziemer
+	A note on the support of a Sobolev function on a 𝑘-cell	2003	William P. Ziemer
+	The co-area formula for Sobolev mappings	2002	Jan Malý David Swanson William P. Ziemer
+	A topological aspect of Sobolev mappings	2002	David Swanson William P. Ziemer
+	The coarea formula for Sobolev mappings	2001	Jan Malý David Swanson William P. Ziemer
+ PDF Chat	Sobolev functions whose inner trace at the boundary is zero	1999	David Swanson William P. Ziemer
+	Functions of least gradient and BV functions	1999	William P. Ziemer
+ PDF Chat	The obstacle problem for functions of least gradient	1999	William P. Ziemer Kevin Zumbrun
+	Equilibrium solutions to generalized motion by mean curvature	1998	Tom Ilmanen Peter Sternberg William P. Ziemer
+	The Obstacle Problem for Functions of Least Gradient	1998	William P. Ziemer Kevin Zumbrun
+	Area Minimizing Sets Subject to a Volume Constraint in a Convex Set	1998	Edward W. Stredulinsky William P. Ziemer
+ PDF Chat	Area minimizing sets subject to a volume constraint in a convex set	1997	Edward W. Stredulinsky William P. Ziemer
+	Fine Regularity of Solutions of Elliptic Partial Differential Equations	1997	Jan Malý William P. Ziemer
+	Fine regularity theory	1997	Jan Malý William P. Ziemer
+	Quasilinear equations	1997	Jan Malý William P. Ziemer
+ PDF Chat	The nonhomogeneous minimal surface equation involving a measure	1995	William P. Ziemer
+	Generalized Motion by Curvature with a Dirichlet Condition	1994	Peter Sternberg William P. Ziemer
+	The Constrained Least Gradient Problem in R n	1993	Peter Sternberg Graham Williams William P. Ziemer
+ PDF Chat	The constrained least gradient problem in 𝑅ⁿ	1993	Peter Sternberg Graham Williams William P. Ziemer
+	The Dirichlet Problem for Functions of Least Gradient	1993	Peter Sternberg William P. Ziemer
+	The constrained least gradient problem in Rn	1993	Peter Sternberg Graham Williams William P. Ziemer
+	Existence, uniqueness, and regularity for functions of least gradient.	1992	Peter Sternberg Graham Williams William P. Ziemer
+ PDF Chat	Lusin's condition (N) and mappings with nonnegative Jacobians.	1992	Олли Мартио William P. Ziemer
+ PDF Chat	Pointwise regularity of solutions to nonlinear double obstacle problems	1991	Tero Kilpeläinen William P. Ziemer
+	C1,1-regularity of constrained area minimizing hypersurfaces	1991	Peter Sternberg William P. Ziemer Graham Williams
+	Smooth regularity of solutions of double obstacle problems involving degenerate elliptic equations	1991	Jun Mu William P. Ziemer
+ PDF Chat	Local Behavior of Solutions of Quasilinear Elliptic Equations With General Structure	1990	Jean‐Michel Rakotoson William P. Ziemer
+ PDF Chat	Local behavior of solutions of quasilinear elliptic equations with general structure	1990	Jean‐Michel Rakotoson William P. Ziemer
+	Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation	1989	William P. Ziemer
+	Pointwise Behavior of Sobolev Functions	1989	William P. Ziemer
+	Poincaré Inequalities—A Unified Approach	1989	William P. Ziemer
+	Weakly Differentiable Functions	1989	William P. Ziemer
+	Boundary Regularity for Quasiminima	1989	William P. Ziemer
+	Functions of Bounded Variation	1989	William P. Ziemer
+ PDF Chat	Regularity of Weak Solutions of Parabolic Variational Inequalities	1988	William P. Ziemer
+ PDF Chat	Minimal rearrangements of Sobolev functions.	1988	William P. Ziemer John E. Brothers
+ PDF Chat	Regularity of weak solutions of parabolic variational inequalities	1988	William P. Ziemer
+ PDF Chat	The Wiener criterion and quasilinear uniformly elliptic equations	1987	J.H. Michael William P. Ziemer
+	Minimal rearrangements of Sobolev functions	1987	William P. Ziemer
+	Interior regularity for solutions to obstacle problems	1986	J.H. Michael William P. Ziemer
+	A Poincare-Type Inequality for Solutions of Elliptic Differential Equations	1986	William P. Ziemer
+	Geometric measure theory and the axioms of continuum thermodynamics	1986	Morton E. Gurtin William O. Williams William P. Ziemer
+ PDF Chat	A Poincaré-type inequality for solutions of elliptic differential equations	1986	William P. Ziemer
+	Boundary regularity for quasiminima	1986	William P. Ziemer
+	Regularity of quasiminima and obstacle problems	1986	William P. Ziemer
+	A Lusin type approximation of Sobolev functions by smooth functions	1985	J. H. Michael William P. Ziemer
+	Smooth foliations generated by functions of least gradient	1984	William P. Ziemer
+	Jacobi fields and regularity of functions of least gradient	1984	Harold R. Parks William P. Ziemer
+ PDF Chat	Mean Values of Subsolutions of Elliptic and Parabolic Equations	1983	William P. Ziemer
+ PDF Chat	Mean values of subsolutions of elliptic and parabolic equations	1983	William P. Ziemer
+	Cauchy flux and sets of finite perimeter	1983	William P. Ziemer
+	American Mathematics from 1940 to the Day before Yesterday	1983	John Ewing William H. Gustafson Paul R. Halmos Suresh H. Moolgavkar William Henry Wheeler William P. Ziemer
+	Thermal capacity and boundary regularity	1982	Ronald Gariepy William P. Ziemer
+ PDF Chat	Interior and Boundary Continuity of Weak Solutions of Degenerate Parabolic Equations	1982	William P. Ziemer
+ PDF Chat	Interior and boundary continuity of weak solutions of degenerate parabolic equations	1982	William P. Ziemer
+	Removable Sets for Quasilinear Parabolic Equations	1980	Ronald Gariepy William P. Ziemer
+	Behavior at the boundary of solutions of quasilinear parabolic equations	1980	William P. Ziemer
+	The Dirichlet Problem for Euler-Lagrange Equations on Arbitrary Domains	1979	William P. Ziemer
+	Integral Inequalities of Poincare and Wirtinger Type for BV Functions	1977	Norman G. Meyers William P. Ziemer
+	A regularity condition at the boundary for solutions of quasilinear elliptic equations	1977	Ronald Gariepy William P. Ziemer
+ PDF Chat	Strong differentiability properties of Bessel potentials	1977	Daniel J. Deignan William P. Ziemer
+ PDF Chat	Strong Differentiability Properties of Bessel Potentials	1977	Daniel J. Deignan William P. Ziemer
+	American Mathematics from 1940 to the Day Before Yesterday	1976	John Ewing William H. Gustafson Paul R. Halmos Suresh H. Moolgavkar William Henry Wheeler William P. Ziemer
+ PDF Chat	A gradient estimate at the boundary for solutions of quasilinear elliptic equations	1976	Ronald Gariepy William P. Ziemer
+	Behavior at the boundary of solutions of quasilinear elliptic equations	1974	Ronald Gariepy William P. Ziemer
+ PDF Chat	Some remarks on harmonic measure in space	1974	William P. Ziemer
+ PDF Chat	Pointwise Differentiability and Absolute Continuity	1974	Thomas Bagby William P. Ziemer
+ PDF Chat	Pointwise differentiability and absolute continuity	1974	Thomas Bagby William P. Ziemer
+ PDF Chat	Slices, multiplicity, and Lebesgue area	1972	Wilfred Pepe William P. Ziemer
+ PDF Chat	The Lebesgue Set of a Function whose Distribution Derivatives are p-th Power Summable	1972	Herbert Fédérer William P. Ziemer
+ PDF Chat	Slices of maps and Lebesgue area	1972	William P. Ziemer
+	Higher Dimensional Mappings for Which the Area Formula Holds	1970	Casper Goffman William P. Ziemer
+ PDF Chat	Higher Dimensional Mappings for Which the Area Formula Holds	1970	Casper Goffman William P. Ziemer
+ PDF Chat	Book Review: Plateau's problem: an invitation to varifold geometry	1969	William P. Ziemer
+ PDF Chat	Extremal length and $p$-capacity.	1969	William P. Ziemer
+ PDF Chat	The area and variation of linearly continuous functions	1969	William P. Ziemer
+ PDF Chat	On the compactness of integral classes	1963	William P. Ziemer

Common Coauthors

Coauthor	Papers Together
Peter Sternberg	8
Niko Marola	7
Jan Malý	6
David Swanson	6
Ronald Gariepy	5
Graham Williams	5
Monica Torres	3
Suresh H. Moolgavkar	2
Jean‐Michel Rakotoson	2
Edward W. Stredulinsky	2
William Henry Wheeler	2
Kevin Zumbrun	2
Gui‐Qiang Chen	2
William H. Gustafson	2
Harold R. Parks	2
Thomas Bagby	2
Daniel J. Deignan	2
Paul R. Halmos	2
Casper Goffman	2
John Ewing	2
Morton E. Gurtin	1
Tom Ilmanen	1
J.H. Michael	1
John E. Brothers	1
Олли Мартио	1
Norman G. Meyers	1
G.Q. Chen	1
J. H. Michael	1
Robert Hardt	1
Herbert Fédérer	1
Leslie Vaaler	1
J.H. Michael	1
Jun Mu	1
Wilfred Pepe	1
Tero Kilpeläinen	1
William K. Allard	1
Wendell H. Fleming	1
William O. Williams	1
John Wermer	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Geometric Measure Theory	1988	Herbert Fédérer	23
+ PDF Chat	The Lebesgue Set of a Function whose Distribution Derivatives are p-th Power Summable	1972	Herbert Fédérer William P. Ziemer	16
+	A regularity condition at the boundary for solutions of quasilinear elliptic equations	1977	Ronald Gariepy William P. Ziemer	14
+	Weakly Differentiable Functions	1989	William P. Ziemer	13
+	On harnack type inequalities and their application to quasilinear elliptic equations	1967	Neil S. Trudinger	13
+	LINEAR AND QUASILINEAR ELLIPTIC EQUATIONS	1969	D. E. Edmunds	12
+	Linear and quasilinear elliptic equations	1968	O. A. Ladyzhenskai︠a︡ N. N. Uraltseva	10
+	Lectures on Geometric Measure Theory	1984	Leon Simon	10
+	Geometric Measure Theory	1996	Herbert Fédérer	10
+ PDF Chat	A Theory of Capacities for Potentials of Functions in Lebesgue Classes.	1970	Norman G. Meyers	9
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	9
+	Function Spaces and Potential Theory	1996	David R. Adams Lars Inge Hedberg	8
+	Behavior at the boundary of solutions of quasilinear elliptic equations	1974	Ronald Gariepy William P. Ziemer	8
+	Pointwise estimates and quasilinear parabolic equations	1968	Neil S. Trudinger	8
+ PDF Chat	Local behavior of solutions of quasi-linear equations	1964	James Serrin	8
+	Functions whose partial derivatives are measures	1960	Wendell H. Fleming	7
+	Behavior at the boundary of solutions of quasilinear parabolic equations	1980	William P. Ziemer	7
+ PDF Chat	Harnack inequalities for quasi-minima of variational integrals	1984	E. Di Benedetto Neil S. Trudinger	7
+	Geometric Integration Theory	1957	Hassler Whitney	6
+	Continuous Transformations in Analysis	1955	Tibor Radó Paul V. Reichelderfer	6
+	An integral formula for total gradient variation	1960	Wendell H. Fleming Raymond Rishel	6
+	Local behavior of solutions of quasilinear parabolic equations	1967	D. G. Aronson James Serrin	6
+	Lusin's condition (N) and mappings of the class W1, n.	1995	Олли Мартио Jan Malý	6
+	The co-area formula for Sobolev mappings	2002	Jan Malý David Swanson William P. Ziemer	6
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	6
+	Quasi topologies and rational approximation	1972	Thomas Bagby	6
+	Absolutely Continuous Functions of Several Variables	1999	Jan Malý	6
+ PDF Chat	Pointwise differentiability and absolute continuity	1974	Thomas Bagby William P. Ziemer	5
+	Minimal Surfaces of Codimension One	1984	Umberto Massari Mario Miranda	5
+	Interior regularity for solutions to obstacle problems	1986	J.H. Michael William P. Ziemer	5
+ PDF Chat	Harmonic functions on metric spaces	2001	Nageswari Shanmugalingam	4
+	Linear and Quasilinear Equations of Parabolic Type	1969	O. A. Ladyzhenskai︠a︡	4
+	Lectures on Analysis on Metric Spaces	2001	Juha Heinonen	4
+	Quasicontinuity of Newton-Sobolev functions and density of Lipschitz functions on metric spaces	2008	Anders Björn Jana Björn Nageswari Shanmugalingam	4
+	Sobolev classes of Banach space-valued functions and quasiconformal mappings	2001	Uha Heinonen Pekka Koskela Nageswari Shanmugalingam Jeremy T. Tyson	4
+	Coarea integration in metric spaces	2003	Jan Malý	4
+	THE SOBOLEV CAPACITY ON METRIC SPACES	1996	Juha Kinnunen Олли Мартио	4
+	A harnack inequality for parabolic differential equations	1964	Jürgen Moser	4
+	Approximation in L p by Solutions of Elliptic Partial Differential Equations	1972	John C. Polking	4
+	Linear and Quasi-linear Equations of Parabolic Type	1968	O. Ladyženskaja V. A. Solonnikov N. Ural’ceva	4
+	Fine Regularity of Solutions of Elliptic Partial Differential Equations	1997	Jan Malý William P. Ziemer	4
+	Rectifiable sets in metric and Banach spaces	2000	Luigi Ambrosio Bernd Kirchheim	4
+	Multiple Integrals in the Calculus of Variations	1966	Charles B. Morrey	4
+ PDF Chat	Some properties of distributions whose partial derivatives are representable by integration	1968	Herbert Fédérer	4
+	Differentiability of Lipschitz Functions on Metric Measure Spaces	1999	Jeff Cheeger	4
+ PDF Chat	Newtonian spaces: An extension of Sobolev spaces to metric measure spaces	2000	Nageswari Shanmugalingam	4
+ PDF Chat	A strict maximum principle for area minimizing hypersurfaces	1987	Leon Simon	4
+ PDF Chat	A note on the Gauss-Green theorem	1958	Herbert Fédérer	4
+	Nonlinear Potential Theory of Degenerate Elliptic Equations	2018	Juha Heinonen Tero Kilpeläinen Олли Мартио	4
+	Measure Theory and Fine Properties of Functions	2018	Lawrence C. Evans Ronald F. Garzepy	4