Mark Leckband

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All published works

Action	Title	Year	Authors
+	Regularity of solutions of quasi-linear elliptic equations with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi>L</mml:mi><mml:msup><mml:mrow><mml:mi mathvariant="normal">log</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msup><mml:mo>⁡</mml:mo><mml:mi>L</mml:mi></mml:math> coefficients	2019	Julian Edward Steve Hudson Mark Leckband
+	Regularity of solutions of quasi-linear elliptic equations with $L\log^m L$ coefficients	2019	Julian Edward Steve Hudson Mark Leckband
+	Regularity of solutions of quasi-linear elliptic equations with $L\log^m L$ coefficients	2019	Julian Edward Steve Hudson Mark Leckband
+	Minimal potential results for Schrödinger equations with Neumann boundary conditions	2017	Julian Edward Steve Hudson Mark Leckband
+ PDF Chat	Existence problems for the <i>p</i>-Laplacian	2013	Julian Edward Steve Hudson Mark Leckband
+	Existence problems for the $p$-Laplacian	2013	Julian Edward Steve Hudson Mark Leckband
+	Minimal support results for Schr\"odinger equations	2013	Laura De Carli Julian Edward Steve Hudson Mark Leckband
+	Minimal support results for Schrödinger equations	2013	Laura De Carli Julian Edward Steve Hudson Mark Leckband
+	Existence problems for the $p$-Laplacian	2013	Julian Edward Steve Hudson Mark Leckband
+ PDF Chat	Minimal support results for Schrödinger equations	2012	Laura De Carli Julian Edward Steve Hudson Mark Leckband
+	The Fundamental Theorem of Algebra via the Fourier Inversion Formula	2010	A. C. Lazer Mark Leckband
+	A rearrangement based proof for the existence of extremal functions for the Sobolev–Poincaré inequality on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>B</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:math>	2009	Mark Leckband
+ PDF Chat	Moser's inequality on the ball <i>B</i><sup><i>n</i></sup> for functions with mean value zero	2004	Mark Leckband
+	Extremals for Moser Inequalities	2004	Steve Hudson Mark Leckband
+ PDF Chat	Extremals for a Moser–Jodeit exponential inequality	2002	Steve Hudson Mark Leckband
+	A sharp exponential inequality for Lorentz-Sobolev spaces on bounded domains	1999	Steve Hudson Mark Leckband
+	Hardy's inequality and fractal measures	1992	Steve Hudson Mark Leckband
+	A Note on Exponential Integrability and Pointwise Estimates of Littlewood- Paley Functions	1990	Mark Leckband
+ PDF Chat	A note on exponential integrability and pointwise estimates of Littlewood-Paley functions	1990	Mark Leckband
+ PDF Chat	On the Local Boundedness of Singular Integral Operators	1988	Mark Leckband
+ PDF Chat	On the local boundedness of singular integral operators	1988	Mark Leckband
+ PDF Chat	A Note on the Spherical Maximal Operator for Radial Functions	1987	Mark Leckband
+ PDF Chat	A note on the spherical maximal operator for radial functions	1987	Mark Leckband
+ PDF Chat	Two-weight mixed norm inequalities for maximal operators and extrapolation results for the fractional maximal operator	1987	Mark Leckband
+ PDF Chat	An Integral Inequality With Applications	1984	Mark Leckband
+ PDF Chat	An integral inequality with applications	1984	Mark Leckband
+ PDF Chat	A note on maximal operators and reversible weak type inequalities	1984	Mark Leckband
+ PDF Chat	A general maximal operator and the 𝐴_{𝑝}-condition	1983	Mark Leckband C. J. Neugebauer
+ PDF Chat	Weighted iterates and variants of the Hardy-Littlewood maximal operator	1983	Mark Leckband C. J. Neugebauer

Common Coauthors

Coauthor	Papers Together
Steve Hudson	11
Julian Edward	10
Laura De Carli	3
Steve Hudson	3
C. J. Neugebauer	2
A. C. Lazer	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A sharp form of an inequality by N. Trudinger	1971	J. Moser	8
+ PDF Chat	Weighted Norm Inequalities for the Hardy Maximal Function	1972	Benjamin Muckenhoupt	6
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	6
+	Geometric remarks on the level curves of harmonic functions	2009	Laura De Carli Steve Hudson	5
+ PDF Chat	Weighted norm inequalities for the Hardy maximal function	1972	Benjamin Muckenhoupt	4
+	Convex functions and Orlicz spaces	1961	M. A. Krasnosel’skii I︠a︡. B. Rutit︠s︡kiĭ Leo F. Boron	4
+	A Faber–Krahn inequality for solutions of Schrödinger’s equation	2012	Laura De Carli Steve Hudson	4
+	Extremal functions for the trudinger-moser inequality in 2 dimensions	1992	Martin Flucher	4
+ PDF Chat	Moser's inequality on the ball <i>B</i><sup><i>n</i></sup> for functions with mean value zero	2004	Mark Leckband	4
+	Variational methods: Applications to nonlinear partial differential equations and Hamiltonian systems	1990	Michaël Struwe	3
+	Time-vanishing properties of solutions of some degenerate parabolic equations with strong absorption	2001	Yves Belaud	3
+	Extremum Problems for Eigenvalues of Elliptic Operators	2006	Antoine Henrot	3
+ PDF Chat	Existence problems for the <i>p</i>-Laplacian	2013	Julian Edward Steve Hudson Mark Leckband	3
+	Weak Type Estimates for Singular Values and the Number of Bound States of Schrodinger Operators	1977	Michael Ćwikel	3
+ PDF Chat	A general maximal operator and the 𝐴_{𝑝}-condition	1983	Mark Leckband C. J. Neugebauer	3
+ PDF Chat	Best constant in Sobolev inequality	1976	Giorgio Talenti	3
+ PDF Chat	Regularity for a class of non-linear elliptic systems	1977	Karen Uhlenbeck	3
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	3
+ PDF Chat	An inequality for the indefinite integral of a function in $L^{q}$	1972	Max Jodeit	3
+	A Sharp Inequality of J. Moser for Higher Order Derivatives	1988	David R. Adams	3
+ PDF Chat	Maximal inequalities related to generalized a.e. continuity	1979	W. B. Jurkat John L. Troutman	3
+ PDF Chat	An elliptic problem with degenerate coercivity and a singular quadratic gradient lower order term	2011	Gisella Croce	2
+ PDF Chat	Conformal deformation of metrics on $S^2$	1988	Sun‐Yung A. Chang Paul Yang	2
+ PDF Chat	The Harnack inequality and related properties for solutions of elliptic and parabolic equations with divergence-free lower-order coefficients	2011	Alexander I. Nazarov N. N. Uraltseva	2
+	Non-zero Solution for the Quasi-linear Elliptic Equation	2009	Rao Ruo-feng Qinggao He	2
+	Zerlegung konvexer Körper durch minimale Trennflächen.	1979	Jürgen Bokowski Emanuel Sperner	2
+	On Harnack's theorem for elliptic differential equations	1961	Jürgen Moser	2
+	Averages in the plane over convex curves and maximal operators	1986	Jean Bourgain	2
+ PDF Chat	The Harnack inequality for second-order elliptic equations with divergence-free drifts	2014	Mihaela Ignatova Igor Kukavica Lenya Ryzhik	2
+	L'integrale de Cauchy Definit un Operateur Borne sur L 2 Pour Les Courbes Lipschitziennes	1982	Ronald R. Coifman Alan McIntosh Yves Meyer	2
+	On a Nonlinear Problem in Differential Geometry††AMS (MOS) 1970 SUBJECT CLASSIFICATION: 53C99, 35T50.‡‡Results obtained at the Courant Institute of Mathematical Sciences, New York University, under National Science Foundation Grant NSF-GP-27719.	1973	J. Moser	2
+ PDF Chat	Problems in harmonic analysis related to curvature	1978	Elias M. Stein Stephen Wainger	2
+	Multiple positive solutions for some p-Laplacian boundary value problems	2004	Zhanbing Bai Zhanji Gui Weigao Ge	2
+	Sharp borderline Sobolev inequalities on compact Riemannian manifolds	1993	Luigi Fontana	2
+	The shape of extremal functions for Poincaré–Sobolev-type inequalities in a ball	2006	Pedro M. Girão Tobias Weth	2
+ PDF Chat	Extremal functions for Moser’s inequality	1996	Kai-Ching Lin	2
+ PDF Chat	Local behavior of solutions of quasi-linear equations	1964	James Serrin	2
+ PDF Chat	A unified approach to improved $L^p$ Hardy inequalities with best constants	2003	Gerassimos Barbatis Stathis Filippas Achilles Tertikas	2
+	Minimal support results for Schr\"odinger equations	2013	Laura De Carli Julian Edward Steve Hudson Mark Leckband	2
+ PDF Chat	Factorization and extrapolation of weights	1982	José L. Rubio de Francia	2
+	On harnack type inequalities and their application to quasilinear elliptic equations	1967	Neil S. Trudinger	2
+	Interpolation of Operators	1988	Curtis D. Bennett M Sharpley	2
+	Maximization of the first eigenvalue in problems involving the bi-Laplacian	2008	Fabrizio Cuccu Giovanni Porru	2
+ PDF Chat	On the existence of extremal functions in Sobolev embedding theorems with critical exponents	2006	A. V. Demyanov Alexander I. Nazarov	2
+	Sharp Sobolev Inequalities on the Sphere and the Moser--Trudinger Inequality	1993	William Beckner	2
+ PDF Chat	On Imbeddings into Orlicz Spaces and Some Applications	1967	Neil S. Trudinger	2
+ PDF Chat	BIow-up solutions of some nonlinear elliptic problems	1997	Juan Luís Vázquez Haı̈m Brezis	2
+	Eigenvalue problems for the p-Laplacian	2005	An Lê	2
+	Observations on Moser's inequality	1989	J. B. McLeod L. A. Peletier	2
+	Some General Existence Principles and Results for $(\phi (y')) = qf(t,y,y'),0 < t < 1$	1993	Donal O’Regan	2