John L. Lewis

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All published works

Action	Title	Year	Authors
+ PDF Chat	On $d$ and $M$ problems for Newtonian potentials in Euclidean $ n $ space	2024	John L. Lewis
+ 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
+ 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
+ PDF Chat	Quasi-linear PDEs and low-dimensional sets	2018	John L. Lewis Kaj Nyström
+	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
+	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
+	Gradient bounds for -harmonic systems with vanishing Neumann (Dirichlet) data in a convex domain	2014	Agnid Banerjee John L. Lewis
+	Hausdorff dimension and $\sigma$ finiteness of $p-$harmonic measures in space when $p\geq n$	2013	Murat Akman John L. Lewis Andrew Vogel
+	Gradient bounds for p-harmonic systems with vanishing neumann data in a convex domain	2013	Agnid Banerjee John L. Lewis
+	On the logarithm of the minimizing integrand for certain variational problems in two dimensions	2012	Murat Akman John L. Lewis Andrew Vogel
+	Regularity estimates for nonlinear elliptic and parabolic problems : Cetraro, Italy 2009	2012	John L. Lewis Ugo Gianazza
+	Regularity Estimates for Nonlinear Elliptic and Parabolic Problems	2012	John L. Lewis Peter Lindqvist Juan J. Manfredi Sandro Salsa
+ PDF Chat	Regularity and free boundary regularity for the $p$-Laplace operator in Reifenberg flat and Ahlfors regular domains	2011	John L. Lewis Kaj Nyström
+ PDF Chat	Regularity of flat free boundaries in two-phase problems for the p-Laplace operator	2011	John L. Lewis Kaj Nyström
+ PDF Chat	New Results for p Harmonic Functions	2011	John L. Lewis Kaj Nyström
+ PDF Chat	p Harmonic Measure in Simply Connected Domains	2011	John L. Lewis Kaj Nyström Pietro Poggi‐Corradini
+ PDF Chat	Boundary integral operators and boundary value problems for Laplace’s equation	2010	Tongkeun Chang John L. Lewis
+ PDF Chat	Boundary behavior and the Martin boundary problem for<i>p</i>harmonic functions in Lipschitz domains	2010	John L. Lewis Kaj Nyström
+	Regularity of Lipschitz free boundaries in two-phase problems for the p-Laplace operator	2010	John L. Lewis Kaj Nyström
+	p Harmonic Measure in Simply Connected Domains	2009	John L. Lewis Kaj Nyström Pietro Poggi‐Corradini
+	REGULARITY AND FREE BOUNDARY REGULARITY FOR THE p LAPLACIAN IN LIPSCHITZ AND C1 DOMAINS	2008	John L. Lewis Kaj Nyström
+	Boundary behaviour of p-harmonic functions in domains beyond Lipschitz domains	2008	John L. Lewis Kaj Nyström
+ 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
+ PDF Chat	The boundary Harnack inequality for infinity harmonic functions in the plane	2007	John L. Lewis Kaj Nyström
+ PDF Chat	On a Parabolic Symmetry Problem	2007	John L. Lewis Kaj Nyström
+ 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
+	Note on p-Harmonic Measure	2006	John L. Lewis
+	On the dimension of p-harmonic measure	2005	Björn Bennewitz John L. Lewis
+	Wolff snowflakes. We study the dimension of harmonic measure for Wolff snowflakes	2005	John L. Lewis Gregory C. Verchota Andrew Vogel
+ PDF Chat	The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math> Neumann problem for the heat equation in non-cylindrical domains	2004	Steve Hofmann John L. Lewis
+	Caloric measure in parabolic flat domains	2004	Steve Hofmann John L. Lewis Kaj Nyström
+ PDF Chat	Spectral properties of parabolic layer potentials and transmission boundary problems in nonsmooth domains	2003	Steve Hofmann John L. Lewis Marius Mitrea
+	EXISTENCE OF BIG PIECES OF GRAPHS FOR PARABOLIC PROBLEMS	2003	Steve Hofmann John L. Lewis Kaj Nyström
+ PDF Chat	Very weak solutions of parabolic systems of p-Laplacian type	2002	Juha Kinnunen John L. Lewis
+ 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	Square functions of Calderón type and applications	2001	Steve Hofmann John L. Lewis
+	The solution of Kato's conjectures	2001	Pascal Auscher Steve Hofmann Michael T. Lacey John L. Lewis Alan McIntosh Philippe Tchamitchian
+	The Dirichlet problem for parabolic operators with singular drift terms	2001	Steve Hofmann John L. Lewis
+ PDF Chat	Extrapolation of Carleson measures and the analyticity of Kato's square-root operators	2001	Pascal Auscher Steve Hofmann John L. Lewis Philippe Tchamitchian
+	The solution of Katos conjectures	2001	Pascal Auscher Steve Hoffman Michael T. Lacey John L. Lewis Alan McIntosh Philippe Tchamitchian
+	On the Singular Set in the Navier–Stokes Equations	2000	Hi Jun Choe John L. Lewis
+	Higher integrability for parabolic systems of p-Laplacian type	2000	Juha Kinnunen John L. Lewis
+ PDF Chat	The $L^{p}$ regularity problem for the heat equation in non-cylindrical domains	1999	Steven Hofmann John L. Lewis
+	The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow> <mml:mi>p</mml:mi> </mml:msup></mml:math> Neumann problem for the heat equation in non-cylindrical domains	1998	Steve Hofmann John L. Lewis
+	L 2 Solvability and Representation by Caloric Layer Potentials in Time- Varying Domains	1996	Steven Hofmann John L. Lewis
+	The method of layer potentials for the heat equation in time-varying domains	1995	John L. Lewis M. A. Murray
+	On a conditional theorem of Littlewood for quasiregular entire functions	1994	John L. Lewis
+	On Critical Points of p Harmonic Functions in the Plane	1994	John L. Lewis
+ PDF Chat	Picard’s theorem and Rickman’s theorem by way of Harnack’s inequality	1994	John L. Lewis
+	On critical points of harmonic functions in the plane.	1994	John L. Lewis
+	Sample and Population Diagram ‐ A Teaching Tool	1992	John L. Lewis James K. Brewer
+	On Some Almost Everywhere Symmetry Theorems	1992	John L. Lewis Andrew Vogel
+	Absolute Continuity of Parabolic Measure	1992	John L. Lewis M. A. Murray
+	On the Obstacle Problem for Quasilinear Elliptic Equations of <i>p</i> Laplacian Type	1991	Hi Jun Choe John L. Lewis
+ PDF Chat	Regularity properties of commutators and layer potentials associated to the heat equation	1991	John L. Lewis M. A. Murray
+	Uniform limits of certain A-harmonic functions with applications to quasiregular mappings	1991	Alexandre Erëmenko John L. Lewis
+	Some applications of riesz capacities	1989	John L. Lewis
+	A Symmetry Result Related to Some Overdetermined Boundary Value Problems	1989	Nicola Garofalo John L. Lewis
+	On conjectures of Arakelyan and Littlewood	1988	John L. Lewis Jang-Mei Wu
+ PDF Chat	Uniformly Fat Sets	1988	John L. Lewis
+ PDF Chat	Uniformly fat sets	1988	John L. Lewis
+	Note on a theorem of Wolff	1988	John L. Lewis
+ PDF Chat	Approximation of Sobolev functions in Jordan domains	1987	John L. Lewis
+	Convex solutions of certain elliptic equations have constant rank hessians	1987	Nicholas J. Korevaar John L. Lewis
+	Approximations of sobolev functions and related topics	1987	John L. Lewis
+ PDF Chat	Fine and quasi connectedness in nonlinear potential theory	1985	David R. Adams John L. Lewis
+ PDF Chat	On the growth of subharmonic functions along paths	1984	John L. Lewis John Rossi Allen Weitsman
+	Paths for Subharmonic Functions	1984	Burgess Davis John L. Lewis
+	Convexity of a Certain Series	1983	John L. Lewis
+	The harmonic measure of porous membranes in R 3	1982	Burgess Davis John L. Lewis
+ PDF Chat	Smoothness of certain degenerate elliptic equations	1980	John L. Lewis
+	Applications of a Convolution Theorem to Jacobi Polynomials	1979	John L. Lewis
+	Note on the Nevanlinna Proximity Function	1978	John L. Lewis
+ PDF Chat	Note on the Nevannlinna proximity function	1978	John L. Lewis
+	Capacitary functions in convex rings	1977	John L. Lewis
+	Note on an Arc Length Problem	1976	John L. Lewis
+ PDF Chat	Space analogues of some theorems for subharmonic and meromorphic functions	1975	Ronald Gariepy John L. Lewis
+	An <i>n</i> -Space Analogue of a Theorem of Suffridge	1975	John L. Lewis
+ PDF Chat	A maximum principle with applications to subharmonic functions in n-space	1974	Ronald Gariepy John L. Lewis
+ PDF Chat	On a problem of Gronwall for Bazilevič functions	1974	John L. Lewis
+ PDF Chat	The Generalized Ahlfors-Heins Theorem in Certain $d$-Dimensional Cones.	1973	Matts Essén John L. Lewis
+ PDF Chat	An extremal property of some capacitary measures in 𝐸_{𝑛}	1973	Burgess Davis John L. Lewis
+ PDF Chat	A counterexample to the two-thirds conjecture	1973	Roger Barnard John L. Lewis
+ PDF Chat	Extremal Analytic Functions in the Unit Circle	1972	John L. Lewis
+	Some Theorems on the cosπλ Inequality	1972	John L. Lewis
+ PDF Chat	Some theorems on the cos 𝜋𝜆 inequality	1972	John L. Lewis
+ PDF Chat	Subharmonic functions in certain regions	1972	John L. Lewis
+	Some Theorems on the Cosine(pi-Lambda) Inequality	1970	John L. Lewis

Common Coauthors

Coauthor	Papers Together
Andrew Vogel	22
Kaj Nyström	15
Murat Akman	15
Steve Hofmann	7
M. A. Murray	3
Philippe Tchamitchian	3
Pascal Auscher	3
Burgess Davis	3
Alan McIntosh	2
Pietro Poggi‐Corradini	2
Michael T. Lacey	2
Steven Hofmann	2
Olli Saari	2
Ronald Gariepy	2
Juha Kinnunen	2
Agnid Banerjee	2
Hi Jun Choe	2
Steve Hofmann	2
Gregory C. Verchota	1
Ugo Gianazza	1
Tongkeun Chang	1
Jang-Mei Wu	1
Juan J. Manfredi	1
David R. Adams	1
Marius Mitrea	1
Jasun Gong	1
Björn Bennewitz	1
Nicola Garofalo	1
John Rossi	1
Niklas L. P. Lundström	1
Matts Essén	1
Roger Barnard	1
Allen Weitsman	1
Peter Lindqvist	1
Jay Hineman	1
Steve Hoffman	1
James K. Brewer	1
Nicholas J. Korevaar	1
Sandro Salsa	1
Alexandre Erëmenko	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	21
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	18
+	On the dimension of p-harmonic measure	2005	Björn Bennewitz John L. Lewis	16
+	Regularity for a more general class of quasilinear elliptic equations	1984	Peter Tolksdorf	15
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	15
+ PDF Chat	Boundary behaviour for p harmonic functions in Lipschitz and starlike Lipschitz ring domains	2007	John L. Lewis Kaj Nyström	15
+ PDF Chat	Local behavior of solutions of quasi-linear equations	1964	James Serrin	14
+	Boundary regularity for solutions of degenerate elliptic equations	1988	Gary M. Lieberman	13
+ PDF Chat	Boundary behavior and the Martin boundary problem for<i>p</i>harmonic functions in Lipschitz domains	2010	John L. Lewis Kaj Nyström	12
+	Boundary behavior of harmonic functions in non-tangentially accessible domains	1982	David Jerison Carlos E. Kenig	11
+	Growth of entire A-subharmonic functions	2003	Tero Kilpeläinen Xiao Zhong	10
+	The method of layer potentials for the heat equation in time-varying domains	1995	John L. Lewis M. A. Murray	10
+	REGULARITY AND FREE BOUNDARY REGULARITY FOR THE p LAPLACIAN IN LIPSCHITZ AND C1 DOMAINS	2008	John L. Lewis Kaj Nyström	10
+ PDF Chat	Weighted norm inequalities for maximal functions and singular integrals	1974	Ronald R. Coifman Charles Fefferman	9
+	Uniform limits of certain A-harmonic functions with applications to quasiregular mappings	1991	Alexandre Erëmenko John L. Lewis	9
+	Estimates of harmonic measure	1977	Björn E. J. Dahlberg	9
+ 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	8
+ PDF Chat	Harmonic measure on locally flat domains	1997	Carlos E. Kenig Tatiana Toro	8
+	L 2 Solvability and Representation by Caloric Layer Potentials in Time- Varying Domains	1996	Steven Hofmann John L. Lewis	7
+	The Method of Layer Potentials for the Heat Equation in Lipschitz Cylinders	1989	R. M. Brown	7
+	Note on p-Harmonic Measure	2006	John L. Lewis	7
+	C1 + α local regularity of weak solutions of degenerate elliptic equations	1983	Emmanuele DiBenedetto	7
+	On the dimension of a certain measure in the plane	2014	Murat Akman	7
+	Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains	1984	Gregory C. Verchota	7
+ PDF Chat	The Dirichlet problem for elliptic equations with drift terms	2001	Carlos E. Kenig Jill Pipher	7
+	A regularity condition at the boundary for solutions of quasilinear elliptic equations	1977	Ronald Gariepy William P. Ziemer	6
+	Parabolic singular integrals of Calderón-type, rough operators, and caloric layer potentials	1997	Steve Hofmann	6
+	On the Hausdorff dimension of harmonic measure in higher dimension	1987	Jean Bourgain	6
+	Regular points for elliptic equations with discontinuous coefficients	1963	Walter Littman G. Stampacchia Hans F. Weinberger	6
+	On the logarithm of the minimizing integrand for certain variational problems in two dimensions	2012	Murat Akman John L. Lewis Andrew Vogel	6
+	Boundary behaviour of p-harmonic functions in domains beyond Lipschitz domains	2008	John L. Lewis Kaj Nyström	6
+ PDF Chat	Everywhere-regularity for some quasilinear systems with a lack of ellipticity	1983	Peter Tolksdorf	6
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	6
+	Geometry of Sets and Measures in Euclidean Spaces	1995	Pertti Mattila	6
+	On the Distortion of Boundary Sets Under Conformal Mappings	1985	Nikolai Makarov	6
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	1977	David Gilbarg Neil S. Trudinger	6
+	The Dirichlet problem for parabolic operators with singular drift terms	2001	Steve Hofmann John L. Lewis	5
+	The local regularity of solutions of degenerate elliptic equations	1982	Eugene B. Fabes Carlos E. Kenig Raul Serapioni	5
+	Hardy Spaces and the Neumann Problem in L p for Laplace's Equation in Lipschitz Domains	1987	Björn E. J. Dahlberg Carlos E. Kenig	5
+	𝑝 harmonic measure in simply connected domains revisited	2014	John W. Lewis	5
+ PDF Chat	The initial-Neumann problem for the heat equation in Lipschitz cylinders	1990	R. M. Brown	5
+ PDF Chat	Free Boundary Regularity for Harmonic Measures and Poisson Kernels	1999	Carlos E. Kenig Tatiana Toro	5
+	Measure Theory and Fine Properties of Functions	2018	Lawrence C. Evans Ronald F. Garzepy	5
+	A minkowski problem for electrostatic capacity	1996	David Jerison	5
+	Geometric Measure Theory	1988	Herbert Fédérer	5
+ 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	5
+	A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz	1989	Luis Caffarelli	5
+ PDF Chat	On the dimension of $p$-harmonic measure in space	2013	John L. Lewis Kaj Nyström Andrew Vogel	5
+	The Theory of Weights and the Dirichlet Problem for Elliptic Equations	1991	Robert Fefferman Carlos E. Kenig Jill Pipher	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