Andrew Vogel

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All published works

Action	Title	Year	Authors
+ PDF Chat	On a Theorem of Wolff Revisited	2022	Murat Akman John L. Lewis Andrew Vogel
+ PDF Chat	Failure of Fatou type theorems for solutions to PDE of <i>p</i>-Laplace type in domains with flat boundaries	2022	Murat Akman John L. Lewis Andrew Vogel
+	The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity	2021	Murat Akman Jasun Gong Jay Hineman John L. Lewis Andrew Vogel
+	Failure of Fatou type theorems for solutions to PDE of $p$-Laplace type in domains with flat boundaries	2021	Murat Akman John E. Lewis Andrew Vogel
+ PDF Chat	Note on an eigenvalue problem with applications to a Minkowski type regularity problem in $${\mathbb {R}}^{n}$$	2020	Murat Akman John L. Lewis Andrew Vogel
+	On a Theorem of Wolff Revisited	2020	Murat Akman John L. Lewis Andrew Vogel
+	Note on an eigenvalue problem with applications to a Minkowski type regularity problem in $\mathbb{R}$^n	2019	Murat Akman John L. Lewis Andrew Vogel
+ PDF Chat	The Brunn--Minkowski inequality and a Minkowski problem for 𝒜-harmonic Green's function	2019	Murat Akman John L. Lewis Olli Saari Andrew Vogel
+	Note on an eigenvalue problem with applications to a Minkowski type regularity problem in $\mathbb{R}$^n	2019	Murat Akman John E. Lewis Andrew Vogel
+	The Brunn-Minkowski inequality and a Minkowski problem for $\mathcal{A}$-harmonic Green's function	2018	Murat Akman John L. Lewis Olli Saari Andrew Vogel
+ PDF Chat	σ-Finiteness of elliptic measures for quasilinear elliptic PDE in space	2017	Murat Akman John L. Lewis Andrew Vogel
+	The Brunn-Minkowski inequality and a Minkowski problem for nonlinear capacity	2017	Murat Akman Jasun Gong Jay Hineman John E. Lewis Andrew Vogel
+	On p Laplace polynomial solutions	2016	John L. Lewis Andrew Vogel
+ PDF Chat	Hausdorff dimension and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.gif" display="inline" overflow="scroll"><mml:mi>σ</mml:mi></mml:math> finiteness of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si4.gif" display="inline" overflow="scroll"><mml:mi>p</mml:mi></mml:math> harmonic measures in space when <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si5.gif" display="inline" overflow="scroll"><mml:mi>p</mml:mi><mml:mo>≥</mml:mo><mml:…	2015	Murat Akman John L. Lewis Andrew Vogel
+	$\sigma$-finiteness of elliptic measures for quasilinear elliptic PDE in space	2015	Murat Akman John L. Lewis Andrew Vogel
+	$\sigma-$finiteness of a certain Borel measure associated with a positive weak solution to a quasilinear elliptic PDE in space	2015	Murat Akman John L. Lewis Andrew Vogel
+	$σ$-finiteness of elliptic measures for quasilinear elliptic PDE in space	2015	Murat Akman John L. Lewis Andrew Vogel
+ PDF Chat	On the dimension of $p$-harmonic measure in space	2013	John L. Lewis Kaj Nyström Andrew Vogel
+	Hausdorff dimension and $\sigma$ finiteness of $p-$harmonic measures in space when $p\geq n$	2013	Murat Akman John L. Lewis Andrew Vogel
+	Hausdorff dimension and $σ$ finiteness of $p-$harmonic measures in space when $p\geq n$	2013	Murat Akman John E. Lewis Andrew Vogel
+	On the logarithm of the minimizing integrand for certain variational problems in two dimensions	2012	Murat Akman John L. Lewis Andrew Vogel
+ PDF Chat	Symmetry Theorems and Uniform Rectifiability	2006	John L. Lewis Andrew Vogel
+	Uniqueness in a Free Boundary Problem	2006	John L. Lewis Andrew Vogel
+	The multidirectional Neumann problem in ℝ4	2006	Gregory C. Verchota Andrew Vogel
+	Wolff snowflakes. We study the dimension of harmonic measure for Wolff snowflakes	2005	John L. Lewis Gregory C. Verchota Andrew Vogel
+	A multidirectional Dirichlet problem	2003	Gregory C. Verchota Andrew Vogel
+	The Failure of Rank-One Connections	2002	Tadeusz Iwaniec Gregory C. Verchota Andrew Vogel
+ PDF Chat	On pseudospheres that are quasispheres	2001	Andrew Vogel John L. Lewis
+ PDF Chat	A symmetry theorem revisited	2001	John L. Lewis Andrew Vogel
+ PDF Chat	Nonsymmetric systems and area integral estimates	1999	Gregory C. Verchota Andrew Vogel
+	On Some Almost Everywhere Symmetry Theorems	1992	John L. Lewis Andrew Vogel

Common Coauthors

Coauthor	Papers Together
John L. Lewis	22
Murat Akman	19
Gregory C. Verchota	5
John E. Lewis	4
Olli Saari	2
Jasun Gong	2
Jay Hineman	2
Kaj Nyström	1
John L. Lewis	1
Tadeusz Iwaniec	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Nonlinear Potential Theory of Degenerate Elliptic Equations	2018	Juha Heinonen Tero Kilpeläinen Олли Мартио	15
+ PDF Chat	Local behavior of solutions of quasi-linear equations	1964	James Serrin	9
+	On the dimension of p-harmonic measure	2005	Björn Bennewitz John L. Lewis	9
+	Regularity for a more general class of quasilinear elliptic equations	1984	Peter Tolksdorf	9
+	Boundary regularity for solutions of degenerate elliptic equations	1988	Gary M. Lieberman	8
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	8
+	Growth of entire A-subharmonic functions	2003	Tero Kilpeläinen Xiao Zhong	7
+	On the dimension of a certain measure in the plane	2014	Murat Akman	7
+ PDF Chat	Boundary behaviour for p harmonic functions in Lipschitz and starlike Lipschitz ring domains	2007	John L. Lewis Kaj Nyström	6
+	On the logarithm of the minimizing integrand for certain variational problems in two dimensions	2012	Murat Akman John L. Lewis Andrew Vogel	6
+ PDF Chat	Boundary behavior and the Martin boundary problem for<i>p</i>harmonic functions in Lipschitz domains	2010	John L. Lewis Kaj Nyström	6
+ PDF Chat	Boundary Harnack inequalities for operators of 𝑝-Laplace type in Reifenberg flat domains	2008	John L. Lewis Niklas L. P. Lundström Kaj Nyström	6
+	A minkowski problem for electrostatic capacity	1996	David Jerison	5
+	Estimates of harmonic measure	1977	Björn E. J. Dahlberg	5
+	Note on p-Harmonic Measure	2006	John L. Lewis	5
+	Uniform limits of certain A-harmonic functions with applications to quasiregular mappings	1991	Alexandre Erëmenko John L. Lewis	5
+	𝑝 harmonic measure in simply connected domains revisited	2014	John W. Lewis	5
+	The Hadamard variational formula and the Minkowski problem for p-capacity	2015	Andrea Colesanti Kaj Nyström Paolo Salani Jie Xiao Da Yang G. Zhang	5
+ PDF Chat	Quasi-linear PDEs and low-dimensional sets	2018	John L. Lewis Kaj Nyström	5
+ PDF Chat	p Harmonic Measure in Simply Connected Domains	2011	John L. Lewis Kaj Nyström Pietro Poggi‐Corradini	5
+	On the Distortion of Boundary Sets Under Conformal Mappings	1985	Nikolai Makarov	5
+	The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity	2021	Murat Akman Jasun Gong Jay Hineman John L. Lewis Andrew Vogel	5
+ PDF Chat	On p-harmonic measures in half-spaces	2019	José G. Llorente Juan J. Manfredi William C. Troy Jang-Mei Wu	4
+ PDF Chat	σ-Finiteness of elliptic measures for quasilinear elliptic PDE in space	2017	Murat Akman John L. Lewis Andrew Vogel	4
+	The p-Harmonic Measure of Small Axially Symmetric Sets	2017	Dante DeBlassie Robert G. Smits	4
+	Construction of singular solutions to the p-harmonic equation and its limit equation for p=?	1986	Gunnar Aronsson	4
+ PDF Chat	On the dimension of $p$-harmonic measure in space	2013	John L. Lewis Kaj Nyström Andrew Vogel	4
+	Regular points for elliptic equations with discontinuous coefficients	1963	Walter Littman G. Stampacchia Hans F. Weinberger	4
+	Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48)	2008	Kari Astala Tadeusz Iwaniec Gaven Martin	4
+	Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains	1984	Gregory C. Verchota	4
+	Geometry of Sets and Measures in Euclidean Spaces	1995	Pertti Mattila	4
+	Space Mappings with Bounded Distortion	1989	Yu. G. Reshetnyak	3
+	Measure Theory and Fine Properties of Functions	2018	Lawrence C. Evans Ronald F. Garzepy	3
+	Wolff snowflakes. We study the dimension of harmonic measure for Wolff snowflakes	2005	John L. Lewis Gregory C. Verchota Andrew Vogel	3
+	Unique continuation for elliptic operators: A geometric‐variational approach	1987	Nicola Garofalo Fang‐Hua Lin	3
+	REGULARITY AND FREE BOUNDARY REGULARITY FOR THE p LAPLACIAN IN LIPSCHITZ AND C1 DOMAINS	2008	John L. Lewis Kaj Nyström	3
+	Decay of a p-harmonic measure in the plane	2013	Niklas L. P. Lundström Jonatan Vasilis	3
+	Capacitary inequalities of the Brunn-Minkowski type	1983	Christer Borell	3
+	An Extended Principle of the Maximum for Harmonic Functions in 3-Dimensions	1955	R. M. Gabriel	3
+ PDF Chat	Carleson type estimates for p-harmonic functions and the conformal Martin boundary of John domains in metric measure spaces	2005	Hiroaki Aikawa Nageswari Shanmugalingam	3
+	The Brunn-Minkowski inequality for p -capacity of convex bodies	2003	Andrea Colesanti Paolo Salani	3
+	Overdetermined anisotropic elliptic problems	2009	Andrea Cianchi Paolo Salani	3
+	HARMONIC MEASURE OF SOME CANTOR TYPE SETS	1996	Athanassios Batakis	3
+	On the Case of Equality in the Brunn-Minkowski Inequality for Capacity	2002	Luis Caffarelli David Jerison Élliott H. Lieb	3
+ PDF Chat	Hp spaces of several variables	1972	Charles Fefferman E. M. Stein	3
+ PDF Chat	The Dirichlet problem for elliptic equations with drift terms	2001	Carlos E. Kenig Jill Pipher	3
+ PDF Chat	On the Poisson integral for Lipschitz and $C^{1}$-domains	1979	Björn Dahlbert	3
+	Boundary behavior of harmonic functions in non-tangentially accessible domains	1982	David Jerison Carlos E. Kenig	3
+	On the Hausdorff dimension of harmonic measure in higher dimension	1987	Jean Bourgain	3
+ PDF Chat	On pseudospheres that are quasispheres	2001	Andrew Vogel John L. Lewis	3