Kevin R. Payne

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All published works

Action	Title	Year	Authors
+	6 The Zero Maximum Principle for Dual Monotonicity Cones	2023	Kevin R. Payne F. Reese Harvey H. Blaine Lawson
+	D Elementary Properties of F-Subharmonic Functions	2023	Kevin R. Payne F. Reese Harvey H. Blaine Lawson
+	8 Comparison on Arbitrary Domains by Additional Monotonicity	2023	Kevin R. Payne F. Reese Harvey H. Blaine Lawson
+	3 Dirichlet Duality and F-Subharmonic Functions	2023	Kevin R. Payne F. Reese Harvey H. Blaine Lawson
+	5 A Fundamental Family of Monotonicity Cone Subequations	2023	Kevin R. Payne F. Reese Harvey H. Blaine Lawson
+	Comparison principles for nonlinear potential theories and PDEs with fiberegularity and sufficient monotonicity	2023	Marco Cirant Kevin R. Payne Davide Francesco Redaelli
+	A primer on quasi-convex functions in nonlinear potential theories	2023	Kevin R. Payne Davide Francesco Redaelli
+	Comparison principles for nonlinear potential theories and PDEs with fiberegularity and sufficient monotonicity	2023	Marco Cirant Kevin R. Payne Davide Francesco Redaelli
+	Interplay between nonlinear potential theory and fully nonlinear elliptic PDEs	2023	F. Reese Harvey Kevin R. Payne
+	Interplay between nonlinear potential theory and fully nonlinear elliptic PDEs	2022	F. Reese Harvey Kevin R. Payne
+	Comparison principles by monotonicity and duality for constant coefficient nonlinear potential theory and PDEs	2020	Marco Cirant F. Reese Harvey H. Blaine Lawson Kevin R. Payne
+	Comparison principles for viscosity solutions of elliptic branches of fully nonlinear equations independent of the gradient	2020	Marco Cirant Kevin R. Payne
+	Principal eigenvalues for <i>k</i>-Hessian operators by maximum principle methods	2020	Isabeau Birindelli Kevin R. Payne
+	Comparison principles for viscosity solutions of elliptic branches of fully nonlinear equations independent of the gradient	2020	Marco Cirant Kevin R. Payne
+	Comparison principles by monotonicity and duality for constant coefficient nonlinear potential theory and PDEs	2020	Marco Cirant F. Reese Harvey Jr Lawson Kevin R. Payne
+	Comparison principles for viscosity solutions of elliptic branches of fully nonlinear equations independent of the gradient	2020	Marco Cirant Kevin R. Payne
+	Principal eigenvalues for k-Hessian operators by maximum principle methods.	2019	Isabeau Birindelli Kevin R. Payne
+	Linear and sublinear Tricomi via DFI	2019	F.R. Payne Kevin R. Payne
+	Principal eigenvalues for k-Hessian operators by maximum principle methods	2019	Isabeau Birindelli Kevin R. Payne
+	The Mathematics of Cathleen Synge Morawetz	2018	Irene M. Gamba Christina Sormani Terence Tao Leslie Greengard Tonatiuh Sánchez-Vizuet Kevin R. Payne
+ PDF	Poincaré inequalities for Sobolev spaces with matrix-valued weights and applications to degenerate partial differential equations	2018	Dario D. Monticelli Kevin R. Payne Fabio Punzo
+ PDF	On locally essentially bounded divergence measure fields and sets of locally finite perimeter	2017	Giovanni E. Comi Kevin R. Payne
+ PDF	On viscosity solutions to the Dirichlet problem for elliptic branches of inhomogeneous fully nonlinear equations	2017	Marco Cirant Kevin R. Payne
+ PDF	Nonexistence of nontrivial generalized solutions for 2-D and 3-D BVPs with nonlinear mixed type equations	2017	Lubomir Dechevski Kevin R. Payne Nedyu Popivanov
+	On viscosity solutions to the Dirichlet problem for elliptic branches of nonhomogeneous fully nonlinear equations	2015	Marco Cirant Kevin R. Payne
+ PDF	On the Dirichlet Problem of Mixed Type for Lower Hybrid Waves in Axisymmetric Cold Plasmas	2014	Daniela Lupo Dario D. Monticelli Kevin R. Payne
+ PDF	Variational Characterizations of Weak Solutions to the Dirichlet Problem for Mixed‐Type Equations	2014	Daniela Lupo Dario D. Monticelli Kevin R. Payne
+ PDF	On the degenerate hyperbolic Goursat problem for linear and nonlinear equations of Tricomi type	2014	Daniela Lupo Kevin R. Payne Nedyu Popivanov
+ PDF	The sonic line as a free boundary	2012	Barbara Lee Keyfitz Allen M. Tesdall Kevin R. Payne Nedyu Popivanov
+	Fredholm properties and nonlinear Dirichlet problems for mixed type operators	2012	Daniela Lupo Dario D. Monticelli Kevin R. Payne
+	Spectral Theory for Linear Operators of Mixed Type and Applications to Nonlinear Dirichlet Problems	2012	Daniela Lupo Dario D. Monticelli Kevin R. Payne
+	PROPOSTE PER I SEMINARI PER IL CORSO: NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS A.A. 2011-2012	2012	Kevin R. Payne
+	Analisi Matematica 4 - Programma d'Esame - a.a. 2010-2011 C.L. in Matematica	2011	Kevin R. Payne Elide Terraneo
+	Maximum principles for weak solutions of degenerate elliptic equations with a uniformly elliptic direction	2009	Dario D. Monticelli Kevin R. Payne
+	Weak well-posedness for the Dirichlet problem for equations of mixed elliptic-hyperbolic type	2008	Kevin R. Payne
+ PDF	Erratum: On closed boundary value problems for equations of mixed elliptic‐hyperbolic type	2008	Daniela Lupo Cathleen S. Morawetz Kevin R. Payne
+	Multiplier methods for mixed type equations	2007	Kevin R. Payne
+	On closed boundary value problems for equations of mixed elliptic‐hyperbolic type	2006	Daniela Lupo Cathleen S. Morawetz Kevin R. Payne
+ PDF	Singular metrics and associated conformal groups underlying differential operators of mixed and degenerate types	2006	Kevin R. Payne
+	Weak well posedness of the Dirichlet problem for equations of mixed ellptic-hyperbolic type	2005	Kevin R. Payne
+	Conservation laws for equations of mixed elliptic-hyperbolic and degenerate types	2005	Daniela Lupo Kevin R. Payne
+	Weak well-posedness for the Dirichlet problem for equations of mixed elliptic-hyperbolic type	2005	Kevin R. Payne
+	Nonexistence of Nontrivial Solutions for Supercritical Equations of Mixed Elliptic-Hyperbolic Type	2005	Daniela Lupo Kevin R. Payne Nedyu Popivanov
+	Spectral Bounds for Tricomi Problems and Application to Semilinear Existence and Existence with Uniqueness Results	2002	Daniela Lupo Kevin R. Payne
+	Critical exponents for semilinear equations of mixed elliptic‐hyperbolic and degenerate types	2002	Daniela Lupo Kevin R. Payne
+	Multiplicity of nontrivial solutions for an asymptotically linear nonlocal Tricomi problem	2001	Daniela Lupo Kevin R. Payne
+	The Dual Variational Method in Nonlocal Semilinear Tricomi Problems	2001	Daniela Lupo Kevin R. Payne
+	ON THE MAXIMUM PRINCIPLE FOR GENERALIZED SOLUTIONS TO THE TRICOMI PROBLEM	2000	Daniela Lupo Kevin R. Payne
+	Existence of a principal eigenvalue for the Tricomi problem.	2000	Daniela Lupo Kevin R. Payne
+	A Dual Variational Approach to a Class of Nonlocal Semilinear Tricomi Problems	1999	Daniela Lupo Kevin R. Payne
+ PDF	Existence of eigenvalues for reflected Tricomi operators and applications to multiplicity of solutions for sublinear and asymptotically linear nonlocal Tricomi problems	1999	Daniela Lupo Anna Maria Micheletti Kevin R. Payne
+	Solvability Theorems for Linear Equations of Tricomi Type	1997	Kevin R. Payne
+	Interior Regularity of the Dirichlet Problem for the Tricomi Equation	1996	Kevin R. Payne
+	Smooth tame Fréchet algebras and lie groups of pseudodifferential operators	1991	Kevin R. Payne

Common Coauthors

Coauthor	Papers Together
Daniela Lupo	17
F. Reese Harvey	9
Marco Cirant	9
H. Blaine Lawson	6
Dario D. Monticelli	6
Nedyu Popivanov	4
Davide Francesco Redaelli	3
Isabeau Birindelli	3
Cathleen S. Morawetz	2
Lubomir Dechevski	1
Fabio Punzo	1
Barbara Lee Keyfitz	1
Terence Tao	1
Leslie Greengard	1
F.R. Payne	1
Jr Lawson	1
Anna Maria Micheletti	1
Elide Terraneo	1
Allen M. Tesdall	1
Tonatiuh Sánchez-Vizuet	1
Irene M. Gamba	1
Christina Sormani	1
Giovanni E. Comi	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A maximum principle for a class of hyperbolic equations and applications to equations of mixed elliptic‐hyperbolic type	1953	Shmuel Agmon Louis Nirenberg M. H. Frotter	13
+	On the generalized solvability of the Tricomi problem	1973	V. P. Didenko	13
+	MIXED EQUATIONS AND TRANSONIC FLOW	2004	Cathleen S. Morawetz	12
+	Symmetric positive linear differential equations	1958	K. O. Friedrichs	11
+	On closed boundary value problems for equations of mixed elliptic‐hyperbolic type	2006	Daniela Lupo Cathleen S. Morawetz Kevin R. Payne	11
+	Critical exponents for semilinear equations of mixed elliptic‐hyperbolic and degenerate types	2002	Daniela Lupo Kevin R. Payne	10
+	On the Problems of Chaplygin for Mixed Sub-and Supersonic Flows	2013	F. I. Frankl	10
+	User’s guide to viscosity solutions of second order partial differential equations	1992	Michael G. Crandall Hitoshi Ishii Pierre-Louis Lions	10
+ PDF Chat	Dirichlet duality and the nonlinear Dirichlet problem	2008	F. Reese Harvey H. Blaine Lawson	9
+	Mathematical Aspects of Subsonic and Transonic Gas Dynamics.	1960	S. S. Shu Lipman Bers	9
+	A Dual Variational Approach to a Class of Nonlocal Semilinear Tricomi Problems	1999	Daniela Lupo Kevin R. Payne	8
+	ON THE MAXIMUM PRINCIPLE FOR GENERALIZED SOLUTIONS TO THE TRICOMI PROBLEM	2000	Daniela Lupo Kevin R. Payne	8
+	The dirichlet problem for the tricomi equation	1970	Cathleen S. Morawetz	8
+	A weak solution for a system of equations of elliptic‐hyperbolic type	1958	Cathleen S. Morawetz	7
+	Local boundary conditions for dissipative symmetric linear differential operators	1960	Peter D. Lax Ralph S. Phillips	7
+	On cauchy's problem for hyperbolic equations and the differentiability of solutions of elliptic equations	1955	Peter D. Lax	7
+ PDF	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	7
+ PDF	Dirichlet Duality and the Nonlinear Dirichlet Problem on Riemanninan Manifolds	2011	F. Reese Harvey H. Blaine Lawson	7
+ PDF	On the general notion of fully nonlinear second-order elliptic equations	1995	Н. В. Крылов	7
+	Viscosity solutions of fully nonlinear second-order elliptic partial differential equations	1990	Hitoshi Ishii Pierre‐Louis Lions	7
+ PDF	On the Dirichlet problem for non-totally degenerate fully nonlinear elliptic equations	2006	Martino Bardi Paola Mannucci	6
+	On the non‐existence of continuous transonic flows past profiles I	1956	Cathleen S. Morawetz	6
+	Conservation laws for equations of mixed elliptic-hyperbolic and degenerate types	2005	Daniela Lupo Kevin R. Payne	6
+	Non‐existence of transonic flow past a profile	1964	Cathleen S. Morawetz	6
+	Hyperbolic polynomials and the Dirichlet problem	2009	F. Reese Harvey H. Blaine Lawson	6
+ PDF	Uniqueness Theorems for the Tricomi Problem	1953	Murray H. Protter	6
+	An embedding theorem for sobolev spaces related to non-smooth vector fieldsand harnack inequality	1984	Bruno Franchi Ermanno Lanconelli	6
+ PDF	On viscosity solutions to the Dirichlet problem for elliptic branches of inhomogeneous fully nonlinear equations	2017	Marco Cirant Kevin R. Payne	6
+	A Course in Metric Geometry	2001	Dmitri Burago Yuri Burago S. V. Ivanov	5
+	Spectral Bounds for Tricomi Problems and Application to Semilinear Existence and Existence with Uniqueness Results	2002	Daniela Lupo Kevin R. Payne	5
+	Existence of a principal eigenvalue for the Tricomi problem.	2000	Daniela Lupo Kevin R. Payne	5
+	The Dirichlet problem for the prescribed curvature equations	1990	Neil S. Trudinger	5
+ PDF	Partial Differential Equations	1988	Shiing-Shen Chern	5
+	Spectral Theory for Linear Operators of Mixed Type and Applications to Nonlinear Dirichlet Problems	2012	Daniela Lupo Dario D. Monticelli Kevin R. Payne	5
+ PDF	The Inhomogeneous Dirichlet problem for natural operators on manifolds	2020	F. Reese Harvey H. Blaine Lawson	5
+	EXISTENCE AND COMPARISON RESULTS FOR FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS WITHOUT ZEROTH-ORDER TERM1*	2001	Guy Barles Jérôme Busca	5
+ PDF	Existence of eigenvalues for reflected Tricomi operators and applications to multiplicity of solutions for sublinear and asymptotically linear nonlocal Tricomi problems	1999	Daniela Lupo Anna Maria Micheletti Kevin R. Payne	5
+	Hölder regularity theorem for a class of linear nonuniformly elliptic operators with measurable coefficients	1983	Bruno Franchi Ermanno Lanconelli	5
+	Maximum principles for weak solutions of degenerate elliptic equations with a uniformly elliptic direction	2009	Dario D. Monticelli Kevin R. Payne	4
+	Fredholm properties and nonlinear Dirichlet problems for mixed type operators	2012	Daniela Lupo Dario D. Monticelli Kevin R. Payne	4
+	A primer of nonlinear analysis	1993	Antonio Ambrosetti G. A. Prodi	4
+	The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations	1988	Robert Jensen	4
+ PDF	An Inequality for Hyperbolic Polynomials	1959	Lars Gårding	4
+ PDF	New Boundary Value Problems for the Wave Equation and Equations of Mixed Type	1954	Murray H. Protter	4
+	The local isometric embedding in <i>R</i><sup>3</sup> of two‐dimensional riemannian manifolds with gaussian curvature changing sign cleanly	1986	Chang‐Shou Lin	4
+	Gårding's Theory of Hyperbolic Polynomials	2013	F. Reese Harvey H. Blaine Lawson	4
+	Comparison Principle for Viscosity Solutions of Fully Nonlinear, Degenerate Elliptic Equations	2007	Bernd Kawohl Nikolai Kutev	4
+	Interior Regularity of the Dirichlet Problem for the Tricomi Equation	1996	Kevin R. Payne	4
+	Positive solutions of nonlinear elliptic equations involving critical sobolev exponents	1983	Haı̈m Brezis Louis Nirenberg	4
+	The analysis of linear partial differential operators	1990	Lars Hörmander	4