Harold R. Parks

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All published works

Action	Title	Year	Authors
+	The Coincidence Set for Two-Dimensional Area Minimizing Surfaces in Rn which Avoid a Convex Obstacle	2023	Harold R. Parks
+	The generalized Binet formula for $k$-bonacci numbers	2023	Harold R. Parks Dean C. Wills
+	Sums of <i>k</i> -Bonacci Numbers	2023	Harold R. Parks Dean C. Wills
+	Sums of $k$-bonacci Numbers	2022	Harold R. Parks Dean C. Wills
+	An Elementary Proof of the Generalization of the Binet Formula for $k$-bonacci Numbers	2022	Harold R. Parks Dean C. Wills
+	Two eggs any style -- generalizing egg-drop experiments	2022	Harold R. Parks Dean C. Wills
+	Explicit Determination in $$\mathbb {R} ^{N}$$RN of $$(N-1)$$(N-1)-Dimensional Area Minimizing Surfaces with Arbitrary Boundaries	2019	Harold R. Parks Jon T. Pitts
+	Explicit Determination in ${\Bbb R}^{N}$ of $(N-1)$-Dimensional Area Minimizing Surfaces with Arbitrary Boundaries	2017	Harold R. Parks Jon T. Pitts
+	Questions about Mathematics	2015	Harold R. Parks
+	Euclidean and Non-Euclidean Geometries	2014	Steven G. Krantz Harold R. Parks
+	Ricci Flow and the Poincaré Conjecture	2014	Steven G. Krantz Harold R. Parks
+	Fermat’s Last Theorem	2014	Steven G. Krantz Harold R. Parks
+	The Foundations of Mathematics	2014	Steven G. Krantz Harold R. Parks
+	The Plateau Problem	2014	Steven G. Krantz Harold R. Parks
+	A Mathematical Odyssey	2014	Steven G. Krantz Harold R. Parks
+	Special Relativity	2014	Steven G. Krantz Harold R. Parks
+	Primality Testing	2014	Steven G. Krantz Harold R. Parks
+	Ramsey Theory	2014	Steven G. Krantz Harold R. Parks
+	Dynamical Systems	2014	Steven G. Krantz Harold R. Parks
+	The Volume of the Unit <i>n</i>-Ball	2013	Harold R. Parks
+	Advanced Implicit Function Theorems	2012	Steven G. Krantz Harold R. Parks
+	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	An elementary proof of a generalization of Bernoulli’s formula	2010	Kevin J. McGown Harold R. Parks
+	Symmetry by Marcus du Sautoy	2009	Harold R. Parks
+	Connections between combinatorics of permutations and algorithms and geometry	2009	Harold R. Parks Dean C. Wills
+	Geometric Integration Theory	2008	Steven G. Krantz Harold R. Parks
+	The Lagrange inversion theorem in the smooth case	2007	Steven G. Krantz Harold R. Parks
+	A Slope-Bounding Procedure for Mass-Minimizing Currents	2007	Harold R. Parks
+	The generalization of Faulhaber's formula to sums of non-integral powers	2006	Kevin J. McGown Harold R. Parks
+	The Lagrange inversion theorem in the smooth case	2006	Steven G. Krantz Harold R. Parks
+	Geometric characterizations of centroids of simplices	2005	Steven G. Krantz John E. McCarthy Harold R. Parks
+	Sums of non-integral powers	2004	Harold R. Parks
+	Variations and Generalizations	2003	Steven G. Krantz Harold R. Parks
+	Advanced Implicit Function Theorems	2003	Steven G. Krantz Harold R. Parks
+	Introduction to the Implicit Function Theorem	2003	Steven G. Krantz Harold R. Parks
+	History	2003	Steven G. Krantz Harold R. Parks
+	Basic Ideas	2003	Steven G. Krantz Harold R. Parks
+	The Implicit Function Theorem	2003	Steven G. Krantz Harold R. Parks
+	An Elementary Calculation of the Dihedral Angle of the Regular <i>n</i>-Simplex	2002	Harold R. Parks Dean C. Wills
+	An Elementary Calculation of the Dihedral Angle of the Regular n-Simplex	2002	Harold R. Parks Dean C. Wills
+ PDF Chat	A Primer of Real Analytic Functions	2002	Steven G. Krantz Harold R. Parks
+	Some Questions of Hard Analysis	2002	Steven G. Krantz Harold R. Parks
+	Results Motivated by Partial Differential Equations	2002	Steven G. Krantz Harold R. Parks
+	Topics in Geometry	2002	Steven G. Krantz Harold R. Parks
+	Multivariable Calculus of Real Analytic Functions	2002	Steven G. Krantz Harold R. Parks
+	Energy estimates for area minimizing hypersurfaces with arbitrary boundaries	2000	Harold R. Parks Jon T. Pitts
+	Domains with Smooth Boundaries	1999	Steven G. Krantz Harold R. Parks
+	Topics Related to Complex Analysis	1999	Steven G. Krantz Harold R. Parks
+	Surfaces minimizing integrals of divergent integrands	1999	Harold R. Parks
+	Smooth Mappings	1999	Steven G. Krantz Harold R. Parks
+	Convexity	1999	Steven G. Krantz Harold R. Parks
+	Steiner Symmetrization	1999	Steven G. Krantz Harold R. Parks
+	The least-gradient method for computing area minimizing hypersurfaces spanning arbitrary boundaries	1996	Harold R. Parks Jon T. Pitts
+	The Least Gradient Method for Computing Area-Minimizing Hypersurfaces	1993	Harold R. Parks
+	Soap-film-like minimal surfaces spanning knots	1992	Harold R. Parks
+	Numerical Approximation of Parametric Oriented Area-Minimizing Hypersurfaces	1992	Harold R. Parks
+	Results Motivated by Partial Differential Equations	1992	Steven G. Krantz Harold R. Parks
+	Topics in Geometry	1992	Steven G. Krantz Harold R. Parks
+	Numerical Approximation of Parametric Oriented Area-Minimizing Hypersurfaces.	1992	Harold R. Parks
+	Classical Topics	1992	Steven G. Krantz Harold R. Parks
+	A Primer of Real Analytic Functions	1992	Steven G. Krantz Harold R. Parks
+ PDF Chat	On the Vector Sum of Two Convex Sets in Space	1991	Steven G. Krantz Harold R. Parks
+	AN APPLICATION OF THE CAUCHY-KOWALEWSKY THEOREM: THE MINIMAL SURFACE EQUATION AT CORNERS	1989	Harold R. Parks
+	Existence and lipschitz regularity of functions minimizing integrals of certain positively homogeneous integrands	1988	Harold R. Parks
+	Partial regularity of functions of least gradient in $\mathbb {R}^8$	1988	Harold R. Parks
+	Nonlinear conditions for differentiability of functions	1985	John F. R. Duncan Steven G. Krantz Harold R. Parks
+ PDF Chat	Regularity of solutions to elliptic isoperimetric problems	1984	Harold R. Parks
+	Jacobi fields and regularity of functions of least gradient	1984	Harold R. Parks William P. Ziemer
+	Distance to Ck hypersurfaces	1981	Steven G. Krantz Harold R. Parks
+ PDF Chat	The Gauss map of a three-dimensional minimal surface	1981	Harold R. Parks
+ PDF Chat	Some New Constructions and Estimates in the Problem of Least Area	1979	Harold R. Parks

Common Coauthors

Coauthor	Papers Together
Steven G. Krantz	21
Steven G. Krantz	17
Dean C. Wills	8
Jon T. Pitts	4
William P. Ziemer	2
Kevin J. McGown	2
John Wermer	1
Wendell H. Fleming	1
John F. R. Duncan	1
Robert Hardt	1
Leslie Vaaler	1
John E. McCarthy	1
William K. Allard	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Geometric Measure Theory	1988	Herbert Fédérer	8
+	Geometric Measure Theory	1996	Herbert Fédérer	4
+	Jacobi fields and regularity of functions of least gradient	1984	Harold R. Parks William P. Ziemer	4
+	Numerical Approximation of Parametric Oriented Area-Minimizing Hypersurfaces	1992	Harold R. Parks	4
+	A minimizing property of extremal submanifolds	1975	Herbert Fédérer	3
+	The problem of dirichlet for quasilinear elliptic differential equations with many independent variables	1969	James Serrin	3
+	Geometric Measure Theory	2023	Janina Kotus Mariusz Urbański	3
+ PDF Chat	Solution of the Plateau problem for m-dimensional surfaces of varying topological type	1960	E. R. Reifenberg	3
+	The least-gradient method for computing area minimizing hypersurfaces spanning arbitrary boundaries	1996	Harold R. Parks Jon T. Pitts	3
+	Multiple Integrals in the Calculus of Variations	1966	Charles B. Morrey	2
+	Existence, uniqueness, and regularity for functions of least gradient.	1992	Peter Sternberg Graham Williams William P. Ziemer	2
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	2
+	Un teorema di esistenza e unicità per il problema dell’area minima in $n$ variabili	1965	Mario Miranda	2
+ PDF Chat	Solution of the Plateau problem for 𝑚-dimensional surfaces of varying topological type	1960	E. R. Reifenberg	2
+	Existence and Regularity Almost Everywhere of Solutions to Elliptic Variational Problems With Constraints	1976	Almgren	2
+	A quadratically convergent method for minimizing a sum of euclidean norms	1983	Michael L. Overton	2
+	Remarks on curvature estimates for minimal hypersurfaces	1976	Leon Simon	2
+	A Crystalline Approximation Theorem for Hypersurfaces	1990	John M. Sullivan	2
+	The Structure of Singularities in Soap-Bubble-Like and Soap-Film-Like Minimal Surfaces	1976	Jean E. Taylor	2
+ PDF Chat	Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals	1977	Richard Schoen L. Simon F. J. Almgren	2
+	Sums of non-integral powers	2004	Harold R. Parks	2
+ PDF Chat	Real Flat Chains, Cochains and Variational Problems	1974	Herbert Fédérer	2
+ PDF Chat	The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension	1970	Herbert Fédérer	2
+	Enumerative Combinatorics: Volume 1	2011	Richard P. Stanley	1
+	Completion of the Proof of the Geometrization Conjecture	2008	John Morgan Gang Tian	1
+ PDF Chat	The constrained least gradient problem in 𝑅ⁿ	1993	Peter Sternberg Graham Williams William P. Ziemer	1
+	Riemann's Zeta Function	1974	Harold M. Edwards	1
+	On the minima of functionals with linear growth	1986	Gabriele Anzellotti	1
+ PDF Chat	Sur quelques points de la théorie des fonctions	1895	Émile Borel	1
+	Minimal Surfaces of Codimension One	1984	Umberto Massari Mario Miranda	1
+ PDF Chat	Rational Points on Elliptic Curves	2015	Joseph H. Silverman John Tate	1
+	The Riemann zeta-function : the theory of the Riemann zeta-function with applications	1985	A. Ivić	1
+	Lectures on Geometric Measure Theory	1984	Leon Simon	1
+	Fermat's last theorem: unlocking the secret of an ancient mathematical problem	1997	Amir D. Aczel	1
+ PDF Chat	A Primer of Real Analytic Functions	2002	Steven G. Krantz Harold R. Parks	1
+	A First Course in Modular Forms	2005	Fred Diamond Jerry Shurman	1
+	The motion of a surface by its mean curvature	1978	Kenneth A. Brakke	1
+	The Least Gradient Method for Computing Area-Minimizing Hypersurfaces	1993	Harold R. Parks	1
+	The co-area formula for Sobolev mappings	2002	Jan Malý David Swanson William P. Ziemer	1
+	The Neumann problem for the Cauchy-Riemann complex	1972	Gerald B. Folland J. J. Kohn	1
+ PDF Chat	Complexes are spaces with a<i>σ</i>-almost locally finite base	1984	Takuo Miwa	1
+ PDF Chat	Differentiable approximations to homotopy resolutions and framed cobordism	1984	Donald R. Kahn	1
+	The Poincaré Conjecture?	2006	Paweł Strzelecki Abe Shenitzer	1
+ PDF Chat	The modulus of a doubly connected region and the geodesic curvature-area method	1984	C. David Minda	1
+ PDF Chat	On the regularity of the minima of variational integrals	1982	Mariano Giaquinta Enrico Giusti	1
+ PDF Chat	A Complete Proof of the Poincaré and Geometrization Conjectures - application of the Hamilton-Perelman theory of the Ricci flow	2006	Huai-Dong Cao Xi-Ping Zhu	1
+	Soap films and covering spaces	1995	Kenneth A. Brakke	1
+	Loxodromic sequences of tangent spheres	1968	H. S. M. Coxeter	1
+	Real and Complex Analysis.	1987	G. A. Garreau Walter Rudin	1
+	Parametric and non-parametric minima	1984	Gabriele Anzellotti	1