## Lewis, John L.

Compute Distance To:
 Author ID: lewis.john-l Published as: Lewis, John L.; Lewis, John; Lewis, J.; Lewis, J. L. more...less External Links: MGP
 Documents Indexed: 108 Publications since 1972, including 3 Books 1 Contribution as Editor Co-Authors: 36 Co-Authors with 79 Joint Publications 721 Co-Co-Authors
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### Co-Authors

 30 single-authored 18 Vogel, Andrew L. 16 Nyström, Kaj 12 Hofmann, Steve 9 Akman, Murat 7 Barnard, Roger W. 4 Essén, Matts Raguel 3 Davis, Burgess 3 Murray, Margaret A. M. 2 Adams, David Randolph 2 Auscher, Pascal 2 Bennewitz, Björn 2 Choe, Hi Jun 2 Gariepy, Ronald F. 2 Haliste, Kersti 2 Kinnunen, Juha 2 Shea, Daniel F. 2 Tchamitchian, Philippe 1 Banerjee, Agnid 1 Chang, Tongkeun 1 Eremenko, Alexandre Émmanuilovich 1 Garofalo, Nicola 1 Gianazza, Ugo Pietro 1 Gong, Jasun 1 Hineman, Jay Lawrence 1 Korevaar, Nicholas Jacob 1 Lacey, Michael T. 1 Lindqvist, Peter 1 Lundström, Niklas L. P. 1 Manfredi, Juan J. 1 McIntosh, Alan 1 Mitrea, Marius 1 Poggi-Corradini, Pietro 1 Rossi, John F. 1 Saari, Olli 1 Salsa, Sandro 1 Silver, Judy 1 Verchota, Gregory C. 1 Weitsman, Allen 1 Wu, Jang-Mei
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### Serials

 7 Arkiv för Matematik 7 Proceedings of the American Mathematical Society 7 Transactions of the American Mathematical Society 4 Indiana University Mathematics Journal 4 Pacific Journal of Mathematics 4 Revista Matemática Iberoamericana 3 Journal d’Analyse Mathématique 3 Journal of the London Mathematical Society. Second Series 3 Memoirs of the American Mathematical Society 3 Communications in Partial Differential Equations 3 Annales Academiae Scientiarum Fennicae. Mathematica 2 Archive for Rational Mechanics and Analysis 2 Advances in Mathematics 2 Annales de l’Institut Fourier 2 Duke Mathematical Journal 2 Illinois Journal of Mathematics 2 Journal of Functional Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the London Mathematical Society. Third Series 2 Complex Variables. Theory and Application 2 SIAM Journal on Mathematical Analysis 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Advances in Calculus of Variations 1 Studia Mathematica 1 Acta Mathematica 1 American Journal of Mathematics 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Mathematica Scandinavica 1 Michigan Mathematical Journal 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of the American Mathematical Society 1 The Journal of Analysis 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 St. Petersburg Mathematical Journal 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Computational Methods and Function Theory 1 Boundary Value Problems 1 Pure and Applied Mathematics Quarterly 1 Lecture Notes in Mathematics 1 Analysis and Mathematical Physics
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### Fields

 62 Partial differential equations (35-XX) 42 Potential theory (31-XX) 26 Functions of a complex variable (30-XX) 8 Measure and integration (28-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Functional analysis (46-XX) 3 Difference and functional equations (39-XX) 3 Operator theory (47-XX) 3 Fluid mechanics (76-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Convex and discrete geometry (52-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

91 Publications have been cited 1,486 times in 1,003 Documents Cited by Year
Regularity of the derivatives of solutions to certain degenerate elliptic equations. Zbl 0554.35048
Lewis, John L.
1983
Higher integrability for parabolic systems of $$p$$-Laplacian type. Zbl 0994.35036
Kinnunen, Juha; Lewis, John L.
2000
Capacitary functions in convex rings. Zbl 0393.46028
Lewis, John L.
1977
On very weak solutions of certain elliptic systems. Zbl 0796.35061
Lewis, John L.
1993
Uniformly fat sets. Zbl 0668.31002
Lewis, John L.
1988
A symmetry result related to some overdetermined boundary value problems. Zbl 0681.35016
Garofalo, Nicola; Lewis, John L.
1989
Convex solutions of certain elliptic equations have constant rank Hessians. Zbl 0624.35031
Korevaar, Nicholas J.; Lewis, John L.
1987
Very weak solutions of parabolic systems of $$p$$-Laplacian type. Zbl 1011.35039
Kinnunen, Juha; Lewis, John L.
2002
$$L^ 2$$ solvability and representation by caloric layer potentials in time-varying domains. Zbl 0867.35037
Hofmann, Steve; Lewis, John L.
1996
The method of layer potentials for the heat equation in time-varying domains. Zbl 0826.35041
Lewis, John L.; Murray, Margaret A. M.
1995
On the obstacle problem for quasilinear elliptic equations of $$p$$ Laplacian type. Zbl 0762.35035
Choe, Hi Jun; Lewis, John L.
1991
Boundary behaviour for $$p$$ harmonic functions in Lipschitz and starlike Lipschitz ring domains. Zbl 1134.31008
Lewis, John L.; Nyström, Kaj
2007
Extrapolation of Carleson measures and the analyticity of Kato’s square-root operators. Zbl 1163.35346
Auscher, Pascal; Hofmann, Steve; Lewis, John L.; Tchamitchian, Philippe
2001
On the dimension of $$p$$-harmonic measure. Zbl 1194.35189
Bennewitz, Björn; Lewis, John L.
2005
The Dirichlet problem for parabolic operators with singular drift terms. Zbl 1149.35048
Hofmann, Steve; Lewis, John L.
2001
On the singular set in the Navier-Stokes equations. Zbl 0965.35115
Choe, Hi Jun; Lewis, John L.
2000
Boundary behavior and the Martin boundary problem for $$p$$ harmonic functions in Lipschitz domains. Zbl 1210.31004
Lewis, John; Nyström, Kaj
2010
Caloric measure in parabolic flat domains. Zbl 1074.35041
Hofmann, Steve; Lewis, John L.; Nyström, Kaj
2004
Parabolic measure and the Dirichlet problem for the heat equation in two dimensions. Zbl 0698.35068
Lewis, John L.; Silver, Judy
1988
Regularity and free boundary regularity for the $$p$$ Laplacian in Lipschitz and $$C^1$$ domains. Zbl 1202.35110
Lewis, John L.; Nyström, Kaj
2008
Regularity and free boundary regularity for the $$p$$-Laplace operator in Reifenberg flat and Ahlfors regular domains. Zbl 1250.35084
Lewis, John L.; Nyström, Kaj
2012
On weak reverse Hölder inequalities for nondoubling harmonic measures. Zbl 1068.31001
Bennewitz, Björn; Lewis, John L.
2004
Regularity of Lipschitz free boundaries in two-phase problems for the $$p$$-Laplace operator. Zbl 1200.35335
Lewis, John L.; Nyström, Kaj
2010
Boundary behaviour of $$p$$-harmonic functions in domains beyond Lipschitz domains. Zbl 1169.31004
Lewis, John L.; Nyström, Kaj
2008
Uniform limits of certain $$A$$-harmonic functions with applications to quasiregular mappings. Zbl 0727.35022
Eremenko, Alexandre; Lewis, John L.
1992
Applications of a convolution theorem to Jacobi polynomials. Zbl 0498.33013
Lewis, John L.
1979
Boundary Harnack inequalities for operators of $$p$$-Laplace type in Reifenberg flat domains. Zbl 1160.35423
Lewis, John L.; Lundström, Niklas; Nyström, Kaj
2008
Existence of big pieces of graphs for parabolic problems. Zbl 1046.35045
Hofmann, Steve; Lewis, John L.; Nyström, Kaj
2003
Gradient bounds for $$p$$-harmonic systems with vanishing Neumann (Dirichlet) data in a convex domain. Zbl 1288.35220
Banerjee, Agnid; Lewis, John L.
2014
Regularity of flat free boundaries in two-phase problems for the $$p$$-Laplace operator. Zbl 1241.35221
Lewis, John L.; Nyström, Kaj
2012
Picard’s theorem and Rickman’s theorem by way of Harnack’s inequality. Zbl 0807.30010
Lewis, John L.
1994
Smoothness of certain degenerate elliptic equations. Zbl 0455.35064
Lewis, John L.
1980
The $$L^p$$ Neumann problem for the heat equation in non-cylindrical domains. Zbl 1065.35125
Hofmann, Steve; Lewis, John L.
2005
Uniqueness in a free boundary problem. Zbl 1189.35130
Lewis, John L.; Vogel, Andrew L.
2006
Wolff snowflakes. Zbl 1108.31006
Lewis, John L.; Verchota, Gregory C.; Vogel, Andrew L.
2005
The solution of Kato’s conjectures. Zbl 1017.47034
Auscher, Pascal; Hofmann, Steve; Lacey, Michael; Lewis, John; McIntosh, Alan; Tchamitchian, Philippe
2001
Convolutions of starlike functions. Zbl 0391.30013
Lewis, John L.
1978
Space analogues of some theorems for subharmonic and meromorphic functions. Zbl 0311.31004
Gariepy, Ronald; Lewis, John L.
1975
Approximation of Sobolev functions in Jordan domains. Zbl 0666.30024
Lewis, John L.
1987
On some almost everywhere symmetry theorems. Zbl 0792.35009
Lewis, John L.; Vogel, Andrew
1992
On the growth of subharmonic functions along paths. Zbl 0547.31003
Lewis, John; Rossi, John; Weitsman, Allen
1984
On Morrey-Besov inequalities. Zbl 0527.46022
Adams, David R.; Lewis, John L.
1982
Note on $$p$$-harmonic measure. Zbl 1161.35406
Lewis, John L.
2006
Quasi-linear PDEs and low-dimensional sets. Zbl 1397.35088
Lewis, John L.; Nyström, Kaj
2018
The generalized Ahlfors-Heins theorem in certain d-dimensional cones. Zbl 0273.31004
Essen, Matts; Lewis, John L.
1973
Regularity properties of commutators and layer potentials associated to the heat equation. Zbl 0780.35049
Lewis, John L.; Murray, Margaret A. M.
1991
Fine and quasi connectedness in nonlinear potential theory. Zbl 0545.31012
Adams, David R.; Lewis, John L.
1985
Convexity of a certain series. Zbl 0518.30019
Lewis, John L.
1983
Square functions of Calderón type and applications. Zbl 0980.42011
Hofmann, Steve; Lewis, John L.
2001
Harmonic majorization and classical analysis. Zbl 0558.30027
Essén, M.; Haliste, K.; Lewis, J. L.; Shea, D. F.
1985
$$p$$ harmonic measure in simply connected domains. Zbl 1241.35071
Lewis, John L.; Nyström, Kaj; Poggi-Corradini, Pietro
2011
The Brunn-Minkowski inequality and a Minkowski problem for nonlinear capacity. Zbl 1483.35093
Akman, Murat; Gong, Jasun; Hineman, Jay; Lewis, John; Vogel, Andrew
2022
The Brunn-Minkowski inequality and a Minkowski problem for $$\mathcal{A}$$-harmonic Green’s function. Zbl 1471.35131
Akman, Murat; Lewis, John; Saari, Olli; Vogel, Andrew
2021
A symmetry theorem revisited. Zbl 0991.31005
Lewis, John; Vogel, Andrew
2002
Spectral properties of parabolic layer potentials and transmission boundary problems in nonsmooth domains. Zbl 1036.35067
Hofmann, Steve; Lewis, John; Mitrea, Marius
2003
On the omitted area problem. Zbl 0616.30017
Barnard, Roger W.; Lewis, John L.
1987
On the dimension of $$p$$-harmonic measure in space. Zbl 1282.35149
Lewis, John L.; Nyström, Kaj; Vogel, Andrew
2013
On conjectures of Arakelyan and Littlewood. Zbl 0652.30019
Lewis, John L.; Wu, Jang-Mei
1988
On the minimum area problem. Zbl 0579.30007
Lewis, John L.
1985
$$\sigma$$-finiteness of elliptic measures for quasilinear elliptic PDE in space. Zbl 1372.35090
Akman, Murat; Lewis, John; Vogel, Andrew
2017
New results for $$p$$ harmonic functions. Zbl 1241.35110
Lewis, John L.; Nyström, Kaj
2011
The $$L^p$$ regularity problem for the heat equation in non-cylindrical domains. Zbl 0934.35056
Hofmann, Steven; Lewis, John L.
1999
Some theorems on the cos$$\pi \lambda$$ inequality. Zbl 0251.31001
Lewis, John L.
1972
Subordination theorems for some classes of starlike functions. Zbl 0301.30007
Barnard, Roger; Lewis, John L.
1975
A maximum principle with applications to subharmonic functions in n- space. Zbl 0303.31004
Gariepy, Ronald; Lewis, John L.
1974
On the logarithm of the minimizing integrand for certain variational problems in two dimensions. Zbl 1256.49013
Akman, Murat; Lewis, John L.; Vogel, Andrew
2012
Paths for subharmonic functions. Zbl 0541.31001
Davis, Burgess; Lewis, John L.
1984
On pseudospheres. Zbl 0734.31006
Lewis, John L.; Vogel, Andrew
1991
On pseudospheres that are quasispheres. Zbl 1005.30020
Lewis, John L.; Vogel, Andrew
2001
On a parabolic symmetry problem. Zbl 1242.35130
Lewis, John L.; Nyström, Kaj
2007
Symmetry theorems and uniform rectifiability. Zbl 1154.35097
Lewis, John L.; Vogel, Andrew L.
2007
Applications of boundary Harnack inequalities for $$p$$ harmonic functions and related topics. Zbl 1250.35002
Lewis, J.
2012
$$p$$ harmonic measure in simply connected domains revisited. Zbl 1317.31009
Lewis, John L.
2015
Note on an eigenvalue problem for an ODE originating from a homogeneous $$p$$-harmonic function. Zbl 1431.35094
Akman, M.; Lewis, J.; Vogel, A.
2020
Note on an eigenvalue problem with applications to a Minkowski type regularity problem in $$\mathbb{R}^n$$. Zbl 1445.35180
Akman, Murat; Lewis, John; Vogel, Andrew
2020
On critical points of $$p$$ harmonic functions in the plane. Zbl 0808.31008
Lewis, John L.
1994
Note on the theorem of Wolff. Zbl 0667.35016
Lewis, John L.
1988
On symmetry and uniform rectifiability arising from some overdetermined elliptic and parabolic boundary conditions. Zbl 1134.35403
Lewis, John L.
2005
The boundary Harnack inequality for infinity harmonic functions in the plane. Zbl 1131.35032
Lewis, John L.; Nyström, Kaj
2008
On $$p$$ Laplace polynomial solutions. Zbl 1370.35143
Lewis, John L.; Vogel, Andrew
2016
Hausdorff dimension and $$\sigma$$ finiteness of $$p$$ harmonic measures in space when $$p \geq n$$. Zbl 1326.28005
Akman, Murat; Lewis, John; Vogel, Andrew
2015
Regularity estimates for nonlinear elliptic and parabolic problems. Notes of the CIME course, Cetraro, Italy, June 22–27, 2009. Zbl 1235.35006
Lewis, John; Lindqvist, Peter; Manfredi, Juan J.; Salsa, Sandro
2012
On a conditional theorem of Littlewood for quasiregular entire functions. Zbl 0861.30022
Lewis, John L.
1994
An extremal property of some capacitary measures in E$$_n$$. Zbl 0243.31008
Davis, Burgess; Lewis, John L.
1973
Subharmonic functions in certain regions. Zbl 0251.31002
Lewis, John L.
1972
On Essen’s generalization of the Ahlfors-Heins theorem. Zbl 0254.31001
Lewis, John L.
1973
A counterexample to the two-thirds conjecture. Zbl 0274.30008
Barnard, Roger W.; Lewis, John L.
1973
Coefficient bounds for some classes of starlike functions. Zbl 0301.30008
Barnard, Roger; Lewis, John L.
1975
On a problem of Gronwall for Bazilevic functions. Zbl 0302.30015
Lewis, John L.
1974
Boundary integral operators and boundary value problems for Laplace’s equation. Zbl 1262.31009
Chang, Tongkeun; Lewis, John L.
2011
Some applications of Riesz capacities. Zbl 0692.31005
Lewis, John L.
1989
The Brunn-Minkowski inequality and a Minkowski problem for nonlinear capacity. Zbl 1483.35093
Akman, Murat; Gong, Jasun; Hineman, Jay; Lewis, John; Vogel, Andrew
2022
The Brunn-Minkowski inequality and a Minkowski problem for $$\mathcal{A}$$-harmonic Green’s function. Zbl 1471.35131
Akman, Murat; Lewis, John; Saari, Olli; Vogel, Andrew
2021
Note on an eigenvalue problem for an ODE originating from a homogeneous $$p$$-harmonic function. Zbl 1431.35094
Akman, M.; Lewis, J.; Vogel, A.
2020
Note on an eigenvalue problem with applications to a Minkowski type regularity problem in $$\mathbb{R}^n$$. Zbl 1445.35180
Akman, Murat; Lewis, John; Vogel, Andrew
2020
Quasi-linear PDEs and low-dimensional sets. Zbl 1397.35088
Lewis, John L.; Nyström, Kaj
2018
$$\sigma$$-finiteness of elliptic measures for quasilinear elliptic PDE in space. Zbl 1372.35090
Akman, Murat; Lewis, John; Vogel, Andrew
2017
On $$p$$ Laplace polynomial solutions. Zbl 1370.35143
Lewis, John L.; Vogel, Andrew
2016
$$p$$ harmonic measure in simply connected domains revisited. Zbl 1317.31009
Lewis, John L.
2015
Hausdorff dimension and $$\sigma$$ finiteness of $$p$$ harmonic measures in space when $$p \geq n$$. Zbl 1326.28005
Akman, Murat; Lewis, John; Vogel, Andrew
2015
Gradient bounds for $$p$$-harmonic systems with vanishing Neumann (Dirichlet) data in a convex domain. Zbl 1288.35220
Banerjee, Agnid; Lewis, John L.
2014
On the dimension of $$p$$-harmonic measure in space. Zbl 1282.35149
Lewis, John L.; Nyström, Kaj; Vogel, Andrew
2013
Regularity and free boundary regularity for the $$p$$-Laplace operator in Reifenberg flat and Ahlfors regular domains. Zbl 1250.35084
Lewis, John L.; Nyström, Kaj
2012
Regularity of flat free boundaries in two-phase problems for the $$p$$-Laplace operator. Zbl 1241.35221
Lewis, John L.; Nyström, Kaj
2012
On the logarithm of the minimizing integrand for certain variational problems in two dimensions. Zbl 1256.49013
Akman, Murat; Lewis, John L.; Vogel, Andrew
2012
Applications of boundary Harnack inequalities for $$p$$ harmonic functions and related topics. Zbl 1250.35002
Lewis, J.
2012
Regularity estimates for nonlinear elliptic and parabolic problems. Notes of the CIME course, Cetraro, Italy, June 22–27, 2009. Zbl 1235.35006
Lewis, John; Lindqvist, Peter; Manfredi, Juan J.; Salsa, Sandro
2012
$$p$$ harmonic measure in simply connected domains. Zbl 1241.35071
Lewis, John L.; Nyström, Kaj; Poggi-Corradini, Pietro
2011
New results for $$p$$ harmonic functions. Zbl 1241.35110
Lewis, John L.; Nyström, Kaj
2011
Boundary integral operators and boundary value problems for Laplace’s equation. Zbl 1262.31009
Chang, Tongkeun; Lewis, John L.
2011
Boundary behavior and the Martin boundary problem for $$p$$ harmonic functions in Lipschitz domains. Zbl 1210.31004
Lewis, John; Nyström, Kaj
2010
Regularity of Lipschitz free boundaries in two-phase problems for the $$p$$-Laplace operator. Zbl 1200.35335
Lewis, John L.; Nyström, Kaj
2010
Regularity and free boundary regularity for the $$p$$ Laplacian in Lipschitz and $$C^1$$ domains. Zbl 1202.35110
Lewis, John L.; Nyström, Kaj
2008
Boundary behaviour of $$p$$-harmonic functions in domains beyond Lipschitz domains. Zbl 1169.31004
Lewis, John L.; Nyström, Kaj
2008
Boundary Harnack inequalities for operators of $$p$$-Laplace type in Reifenberg flat domains. Zbl 1160.35423
Lewis, John L.; Lundström, Niklas; Nyström, Kaj
2008
The boundary Harnack inequality for infinity harmonic functions in the plane. Zbl 1131.35032
Lewis, John L.; Nyström, Kaj
2008
Boundary behaviour for $$p$$ harmonic functions in Lipschitz and starlike Lipschitz ring domains. Zbl 1134.31008
Lewis, John L.; Nyström, Kaj
2007
On a parabolic symmetry problem. Zbl 1242.35130
Lewis, John L.; Nyström, Kaj
2007
Symmetry theorems and uniform rectifiability. Zbl 1154.35097
Lewis, John L.; Vogel, Andrew L.
2007
Uniqueness in a free boundary problem. Zbl 1189.35130
Lewis, John L.; Vogel, Andrew L.
2006
Note on $$p$$-harmonic measure. Zbl 1161.35406
Lewis, John L.
2006
On the dimension of $$p$$-harmonic measure. Zbl 1194.35189
Bennewitz, Björn; Lewis, John L.
2005
The $$L^p$$ Neumann problem for the heat equation in non-cylindrical domains. Zbl 1065.35125
Hofmann, Steve; Lewis, John L.
2005
Wolff snowflakes. Zbl 1108.31006
Lewis, John L.; Verchota, Gregory C.; Vogel, Andrew L.
2005
On symmetry and uniform rectifiability arising from some overdetermined elliptic and parabolic boundary conditions. Zbl 1134.35403
Lewis, John L.
2005
Caloric measure in parabolic flat domains. Zbl 1074.35041
Hofmann, Steve; Lewis, John L.; Nyström, Kaj
2004
On weak reverse Hölder inequalities for nondoubling harmonic measures. Zbl 1068.31001
Bennewitz, Björn; Lewis, John L.
2004
Existence of big pieces of graphs for parabolic problems. Zbl 1046.35045
Hofmann, Steve; Lewis, John L.; Nyström, Kaj
2003
Spectral properties of parabolic layer potentials and transmission boundary problems in nonsmooth domains. Zbl 1036.35067
Hofmann, Steve; Lewis, John; Mitrea, Marius
2003
Very weak solutions of parabolic systems of $$p$$-Laplacian type. Zbl 1011.35039
Kinnunen, Juha; Lewis, John L.
2002
A symmetry theorem revisited. Zbl 0991.31005
Lewis, John; Vogel, Andrew
2002
Extrapolation of Carleson measures and the analyticity of Kato’s square-root operators. Zbl 1163.35346
Auscher, Pascal; Hofmann, Steve; Lewis, John L.; Tchamitchian, Philippe
2001
The Dirichlet problem for parabolic operators with singular drift terms. Zbl 1149.35048
Hofmann, Steve; Lewis, John L.
2001
The solution of Kato’s conjectures. Zbl 1017.47034
Auscher, Pascal; Hofmann, Steve; Lacey, Michael; Lewis, John; McIntosh, Alan; Tchamitchian, Philippe
2001
Square functions of Calderón type and applications. Zbl 0980.42011
Hofmann, Steve; Lewis, John L.
2001
On pseudospheres that are quasispheres. Zbl 1005.30020
Lewis, John L.; Vogel, Andrew
2001
Higher integrability for parabolic systems of $$p$$-Laplacian type. Zbl 0994.35036
Kinnunen, Juha; Lewis, John L.
2000
On the singular set in the Navier-Stokes equations. Zbl 0965.35115
Choe, Hi Jun; Lewis, John L.
2000
The $$L^p$$ regularity problem for the heat equation in non-cylindrical domains. Zbl 0934.35056
Hofmann, Steven; Lewis, John L.
1999
$$L^ 2$$ solvability and representation by caloric layer potentials in time-varying domains. Zbl 0867.35037
Hofmann, Steve; Lewis, John L.
1996
The method of layer potentials for the heat equation in time-varying domains. Zbl 0826.35041
Lewis, John L.; Murray, Margaret A. M.
1995
Picard’s theorem and Rickman’s theorem by way of Harnack’s inequality. Zbl 0807.30010
Lewis, John L.
1994
On critical points of $$p$$ harmonic functions in the plane. Zbl 0808.31008
Lewis, John L.
1994
On a conditional theorem of Littlewood for quasiregular entire functions. Zbl 0861.30022
Lewis, John L.
1994
On very weak solutions of certain elliptic systems. Zbl 0796.35061
Lewis, John L.
1993
Uniform limits of certain $$A$$-harmonic functions with applications to quasiregular mappings. Zbl 0727.35022
Eremenko, Alexandre; Lewis, John L.
1992
On some almost everywhere symmetry theorems. Zbl 0792.35009
Lewis, John L.; Vogel, Andrew
1992
On the obstacle problem for quasilinear elliptic equations of $$p$$ Laplacian type. Zbl 0762.35035
Choe, Hi Jun; Lewis, John L.
1991
Regularity properties of commutators and layer potentials associated to the heat equation. Zbl 0780.35049
Lewis, John L.; Murray, Margaret A. M.
1991
On pseudospheres. Zbl 0734.31006
Lewis, John L.; Vogel, Andrew
1991
A symmetry result related to some overdetermined boundary value problems. Zbl 0681.35016
Garofalo, Nicola; Lewis, John L.
1989
Some applications of Riesz capacities. Zbl 0692.31005
Lewis, John L.
1989
Uniformly fat sets. Zbl 0668.31002
Lewis, John L.
1988
Parabolic measure and the Dirichlet problem for the heat equation in two dimensions. Zbl 0698.35068
Lewis, John L.; Silver, Judy
1988
On conjectures of Arakelyan and Littlewood. Zbl 0652.30019
Lewis, John L.; Wu, Jang-Mei
1988
Note on the theorem of Wolff. Zbl 0667.35016
Lewis, John L.
1988
Convex solutions of certain elliptic equations have constant rank Hessians. Zbl 0624.35031
Korevaar, Nicholas J.; Lewis, John L.
1987
Approximation of Sobolev functions in Jordan domains. Zbl 0666.30024
Lewis, John L.
1987
On the omitted area problem. Zbl 0616.30017
Barnard, Roger W.; Lewis, John L.
1987
Fine and quasi connectedness in nonlinear potential theory. Zbl 0545.31012
Adams, David R.; Lewis, John L.
1985
Harmonic majorization and classical analysis. Zbl 0558.30027
Essén, M.; Haliste, K.; Lewis, J. L.; Shea, D. F.
1985
On the minimum area problem. Zbl 0579.30007
Lewis, John L.
1985
On the growth of subharmonic functions along paths. Zbl 0547.31003
Lewis, John; Rossi, John; Weitsman, Allen
1984
Paths for subharmonic functions. Zbl 0541.31001
Davis, Burgess; Lewis, John L.
1984
Regularity of the derivatives of solutions to certain degenerate elliptic equations. Zbl 0554.35048
Lewis, John L.
1983
Convexity of a certain series. Zbl 0518.30019
Lewis, John L.
1983
On Morrey-Besov inequalities. Zbl 0527.46022
Adams, David R.; Lewis, John L.
1982
Smoothness of certain degenerate elliptic equations. Zbl 0455.35064
Lewis, John L.
1980
Applications of a convolution theorem to Jacobi polynomials. Zbl 0498.33013
Lewis, John L.
1979
Convolutions of starlike functions. Zbl 0391.30013
Lewis, John L.
1978
Capacitary functions in convex rings. Zbl 0393.46028
Lewis, John L.
1977
Space analogues of some theorems for subharmonic and meromorphic functions. Zbl 0311.31004
Gariepy, Ronald; Lewis, John L.
1975
Subordination theorems for some classes of starlike functions. Zbl 0301.30007
Barnard, Roger; Lewis, John L.
1975
Coefficient bounds for some classes of starlike functions. Zbl 0301.30008
Barnard, Roger; Lewis, John L.
1975
A maximum principle with applications to subharmonic functions in n- space. Zbl 0303.31004
Gariepy, Ronald; Lewis, John L.
1974
On a problem of Gronwall for Bazilevic functions. Zbl 0302.30015
Lewis, John L.
1974
The generalized Ahlfors-Heins theorem in certain d-dimensional cones. Zbl 0273.31004
Essen, Matts; Lewis, John L.
1973
An extremal property of some capacitary measures in E$$_n$$. Zbl 0243.31008
Davis, Burgess; Lewis, John L.
1973
On Essen’s generalization of the Ahlfors-Heins theorem. Zbl 0254.31001
Lewis, John L.
1973
A counterexample to the two-thirds conjecture. Zbl 0274.30008
Barnard, Roger W.; Lewis, John L.
1973
Some theorems on the cos$$\pi \lambda$$ inequality. Zbl 0251.31001
Lewis, John L.
1972
Subharmonic functions in certain regions. Zbl 0251.31002
Lewis, John L.
1972
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### Cited by 896 Authors

 39 Lewis, John L. 36 Nyström, Kaj 34 Hofmann, Steve 27 Byun, Sun-Sig 24 Mingione, Giuseppe 16 Bögelein, Verena 16 Yao, Fengping 15 Choe, Hi Jun 14 Duzaar, Frank 14 Shimomura, Tetsu 14 Vogel, Andrew L. 12 Akman, Murat 12 Ma, Xi-Nan 11 Martell, José María (Chema) 11 Mizuta, Yoshihiro 11 Parviainen, Mikko 11 Salani, Paolo 11 Scheven, Christoph 11 Schwarzacher, Sebastian 10 Ciraolo, Giulio 10 Kuusi, Tuomo 10 Lehrbäck, Juha 10 Mayboroda, Svitlana 10 Ohno, Takao 10 Pipher, Jill Catherine 10 Wang, Lihe 9 Chen, Yanping 9 Ok, Jihoon 9 Xiao, Jie 8 Adimurthi, Karthik 8 Diening, Lars 8 Fragalà, Ilaria 8 Nguyen Cong Phuc 8 Park, Jung-Tae 8 Shanmugalingam, Nageswari 8 Toro, Tatiana 8 Vähäkangas, Antti V. 8 Yang, Minsuk 7 Auscher, Pascal 7 Avelin, Benny 7 Azzam, Jonas 7 Barnard, Roger W. 7 Baroni, Paolo 7 Björn, Jana 7 Cianchi, Andrea 7 Kenig, Carlos Eduardo 7 Kilpeläinen, Tero 7 Kinnunen, Juha 7 Maz’ya, Vladimir Gilelevich 7 Ruscheweyh, Stephan 7 Shahgholian, Henrik 7 Zheng, Shenzhou 6 Björn, Anders 6 Chang, Tongkeun 6 Dindoš, Martin 6 Dipierro, Serena 6 Egert, Moritz 6 Garofalo, Nicola 6 Kheloufi, Arezki 6 Koskela, Pekka 6 Langley, James K. 6 Lundström, Niklas L. P. 6 Manfredi, Juan J. 6 Marchenko, Ivan Ivanovich 6 Mourgoglou, Mihalis 6 Xu, Lu 6 Zhong, Xiao 5 Aronsson, Gunnar 5 Badger, Matthew 5 Banerjee, Agnid 5 Bianchini, Chiara 5 Bortz, Simon 5 Chen, ChuanQiang 5 Cho, Yumi 5 Ding, Yong 5 Dong, Hongjie 5 González Llorente, José 5 Greco, Antonio 5 Habermann, Jens 5 Hästö, Peter A. 5 Heinonen, Juha 5 Nguyen, Thanh-Nhan 5 Passarelli di Napoli, Antonia 5 Pearce, Kent 5 Rivera-Noriega, Jorge 5 Shin, Pilsoo 5 Tran, Minh Phuong 5 Véron, Laurent 5 Wu, Jang-Mei 5 Zhou, Shulin 4 Adamowicz, Tomasz 4 Breit, Dominic 4 Bulíček, Miroslav 4 Colesanti, Andrea 4 Essén, Matts Raguel 4 Farroni, Fernando 4 Feneuil, Joseph 4 Ferrari, Fausto 4 Gianazza, Ugo Pietro 4 Greco, Luigi ...and 796 more Authors
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### Cited in 186 Serials

 59 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 56 Journal of Mathematical Analysis and Applications 52 Journal of Differential Equations 46 Calculus of Variations and Partial Differential Equations 36 Proceedings of the American Mathematical Society 29 Advances in Mathematics 27 Journal of Functional Analysis 23 Manuscripta Mathematica 23 Mathematische Annalen 23 Transactions of the American Mathematical Society 23 Journal de Mathématiques Pures et Appliquées. Neuvième Série 22 Communications in Partial Differential Equations 22 Potential Analysis 21 Archive for Rational Mechanics and Analysis 19 Journal d’Analyse Mathématique 15 The Journal of Geometric Analysis 11 Arkiv för Matematik 11 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Communications on Pure and Applied Analysis 10 Complex Variables and Elliptic Equations 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Revista Matemática Iberoamericana 9 Communications in Contemporary Mathematics 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Mathematische Zeitschrift 8 NoDEA. Nonlinear Differential Equations and Applications 8 Journal of the European Mathematical Society (JEMS) 8 Acta Mathematica Sinica. English Series 8 Computational Methods and Function Theory 8 Annales Fennici Mathematici 7 Applicable Analysis 7 Annales de l’Institut Fourier 7 Memoirs of the American Mathematical Society 7 Results in Mathematics 7 Boundary Value Problems 7 Analysis & PDE 7 Nonlinear Analysis. Theory, Methods & Applications 6 Israel Journal of Mathematics 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Communications in Mathematical Physics 5 Rocky Mountain Journal of Mathematics 5 Duke Mathematical Journal 5 Journal of Computational and Applied Mathematics 5 Journal für die Reine und Angewandte Mathematik 5 Mathematische Nachrichten 5 Zeitschrift für Analysis und ihre Anwendungen 5 St. Petersburg Mathematical Journal 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Journal of Inequalities and Applications 5 Mathematical Inequalities & Applications 5 Nonlinear Analysis. Real World Applications 5 Acta Mathematica Scientia. Series B. (English Edition) 4 Acta Mathematica 4 Illinois Journal of Mathematics 4 Indiana University Mathematics Journal 4 Integral Equations and Operator Theory 4 Kodai Mathematical Journal 4 Mathematika 4 Siberian Mathematical Journal 4 Forum Mathematicum 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 SIAM Journal on Mathematical Analysis 4 Discrete and Continuous Dynamical Systems 4 Journal of Evolution Equations 4 Advanced Nonlinear Studies 4 Mediterranean Journal of Mathematics 4 Science China. Mathematics 3 Bulletin of the Australian Mathematical Society 3 Computers & Mathematics with Applications 3 Communications on Pure and Applied Mathematics 3 Mathematical Notes 3 Inventiones Mathematicae 3 Pacific Journal of Mathematics 3 Journal of the American Mathematical Society 3 Journal of Mathematical Sciences (New York) 3 Electronic Journal of Differential Equations (EJDE) 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Advances in Calculus of Variations 3 Analysis and Mathematical Physics 3 Bulletin of Mathematical Sciences 3 Advances in Nonlinear Analysis 2 Mathematical Methods in the Applied Sciences 2 The Annals of Probability 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Archiv der Mathematik 2 Michigan Mathematical Journal 2 Nagoya Mathematical Journal 2 Numerical Functional Analysis and Optimization 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Rendiconti del Seminario Matematico della Università di Padova 2 Ricerche di Matematica 2 Tôhoku Mathematical Journal. Second Series 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applied Mathematics Letters 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Geometric and Functional Analysis. GAFA 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences ...and 86 more Serials
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### Cited in 41 Fields

 733 Partial differential equations (35-XX) 200 Potential theory (31-XX) 115 Functions of a complex variable (30-XX) 95 Functional analysis (46-XX) 94 Harmonic analysis on Euclidean spaces (42-XX) 67 Calculus of variations and optimal control; optimization (49-XX) 45 Fluid mechanics (76-XX) 41 Differential geometry (53-XX) 39 Real functions (26-XX) 39 Measure and integration (28-XX) 38 Operator theory (47-XX) 31 Convex and discrete geometry (52-XX) 30 Global analysis, analysis on manifolds (58-XX) 13 Special functions (33-XX) 12 Probability theory and stochastic processes (60-XX) 10 Mechanics of deformable solids (74-XX) 8 Difference and functional equations (39-XX) 7 Numerical analysis (65-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Abstract harmonic analysis (43-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Sequences, series, summability (40-XX) 4 Approximations and expansions (41-XX) 4 Integral equations (45-XX) 3 Ordinary differential equations (34-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Nonassociative rings and algebras (17-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)