James Serrin

Q: What Schools Are Affiliated With James Serrin

James Serrin is affiliated with the following schools: Indiana University, University of Minnesota, New York University

James Serrin's AcademicInfluence.com Rankings

James Serrin

Mathematics

#480

World Rank

#941

Historical Rank

#213

USA Rank

Measure Theory

#219

World Rank

#339

Historical Rank

#99

USA Rank

mathematics Degrees

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Mathematics

James Serrin's Degrees

PhD Mathematics New York University
Masters Mathematics New York University

Why Is James Serrin Influential?

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According to Wikipedia, James Burton Serrin was an American mathematician, and a professor at University of Minnesota. Life He received his doctorate from Indiana University in 1951 under the supervision of David Gilbarg. From 1954 till 1995 he was on the faculty of the University of Minnesota.

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James Serrin's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

H = W. (1964) (3437)
A symmetry problem in potential theory (1971) (1178)
Mathematical Principles of Classical Fluid Mechanics (1959) (1020)
On the interior regularity of weak solutions of the Navier-Stokes equations (1962) (997)
Local behavior of solutions of quasi-linear equations (1964) (914)
The initial value problem for the Navier-Stokes equations (1963) (677)
A general variational identity (1986) (445)
On the stability of viscous fluid motions (1959) (341)
Local behavior of solutions of quasilinear parabolic equations (1967) (334)
Uniqueness of positive radial solutions of Δu+f(u)=0 in ℝn (1987) (316)
Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities (2002) (316)
Non-existence of positive solutions of Lane-Emden systems (1996) (296)
Pathological solutions of elliptic differential equations (1964) (281)
The Maximum Principle (2007) (271)
Global Nonexistence Theorems for Quasilinear Evolution Equations with Dissipation (1997) (241)
The strong maximum principle revisited (2004) (238)
Sublinear functions of measures and variational integrals (1964) (232)
On the uniqueness of compressible fluid motions (1959) (223)
Isolated singularities of solutions of quasi-linear equations (1965) (218)
On isolated singularities of solutions of second order elliptic differential equations (1954) (191)
UNIQUENESS OF GROUND STATES FOR QUASILINEAR ELLIPTIC OPERATORS (1998) (188)
The Dirichlet problem for the minimal surface equation in higher dimensions. (1968) (181)
UNIQUENESS OF GROUND STATES FOR QUASILINEAR ELLIPTIC EQUATIONS IN THE EXPONENTIAL CASE (1998) (181)
Existence and Uniqueness of Nonnegative Solutions of Quasilinear Equations inRn (1996) (173)
On the definition and properties of certain variational integrals (1961) (170)
A mountain pass theorem (1985) (158)
Nonexistence theorems for singular solutions of quasilinear partial differential equations (1986) (149)
Global existence and global nonexistence of solutions of the Cauchy problem for a nonlinearly damped wave equation (1998) (148)
Nonlinear Diffusion Equations and Their Equilibrium States II (1988) (143)
Variational problems of minimal surface type II. Boundary value problems for the minimal surface equation (1966) (134)
Symmetry of Ground States of Quasilinear Elliptic Equations (1999) (127)
Extensions of the mountain pass theorem (1984) (124)
Global Nonexistence for Abstract Evolution Equations with Positive Initial Energy (1998) (120)
A strong maximum principle and a compact support principle for singular elliptic inequalities (1999) (114)
The Exterior Dirichlet Problem for Second Order Elliptic Partial Differential Equations (1960) (107)
Uniqueness of non-negative solutions of semilinear equations in Rn (1986) (98)
The mechanical theory of fluid interfaces and Maxwell's rule (1983) (97)
Existence of positive entire solutions of elliptic hamiltonian systems (1998) (94)
Precise damping conditions for global asymptotic stability for nonlinear second order systems (1994) (93)
A General Chain Rule for Derivatives and the Change of Variables Formula for the Lebesgue Integral (1969) (90)
On the Harnack inequality for linear elliptic equations (1954) (90)
A note on the exstencie of periodic solutions of the Navier-Stokes equations (1959) (89)
Existence of ground states and free boundary problems for quasilinear elliptic operators (2000) (89)
On the Thermodynamics of Interstitial Working (1983) (84)
Equilibrium solutions in the mechanical theory of fluid microstructures (1983) (79)
Variational problems of minimal surface type (1963) (76)
Existence for a nonlinear wave equation with damping and source terms (2003) (75)
Global Existence and Nonexistence Theorems for Quasilinear Evolution Equations of Formally Parabolic Type (1998) (71)
Conceptual analysis of the classical second laws of thermodynamics (1979) (70)
Asymptotic stability for nonautonomous dissipative wave systems (1996) (69)
New Perspectives in Thermodynamics (1986) (64)
On surfaces of constant mean curvature which span a given space curve (1969) (63)
A note on the strong maximum principle for elliptic differential inequalities (2000) (63)
Qualitative properties of ground states for singular elliptic equations with weights (2006) (62)
ON THE HOLDER CONTINUITY OF QUASI- CONFORMAL AND ELLIPTIC MAPPINGS (1958) (62)
Uniqueness of solutions of semilinear Poisson equations. (1981) (61)
Asymptotic stability for intermittently controlled nonlinear oscillators (1994) (58)
Entire solutions of completely coercive quasilinear elliptic equations, II (2011) (58)
Continuation and limit properties for solutions of strongly nonlinear second order differential equations (1991) (56)
Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form (1971) (56)
Entire Solutions of Nonlinear Poisson Equations (1972) (53)
The existence of similar solutions for some laminar boundary layer problems (1968) (53)
On the strong maximum principle for quasilinear second order differential inequalities (1970) (53)
The Dirichlet Problem for Surfaces of Constant Mean Curvature (1970) (52)
Gradient Estimates for Solutions of Nonlinear Elliptic and Parabolic Equations (1971) (52)
The structure of the critical set in the mountain pass theorem (1987) (49)
Isolated Singularities of Solutions of Linear Elliptic Equations (1966) (48)
On the Differentiability of Functions of Several Variables (1961) (47)
Ground states for the prescribed mean curvature equation (1987) (46)
Removable singularities of solutions of elliptic equations. II (1965) (44)
Local asymptotic stability for dissipative wave systems (1998) (39)
A Harnack inequality for nonlinear equations (1963) (37)
Positive solutions of a prescribed mean curvature problem (1988) (36)
The Concepts of Thermodynamics (1978) (36)
Entire solutions of quasilinear elliptic equations (2009) (36)
An Outline of Thermodynamical Structure (1986) (36)
On the Phragmen-Lindelof Principle for Elliptic Differential Equations (1954) (34)
Classification of positive solutions of quasilinear elliptic equations (1994) (33)
Global properties of continuum thermodynamic processes (1975) (33)
Removable singularities of solutions of elliptic equations (1964) (33)
A remark on the preceding paper of Amann (1972) (32)
Some remarks on the global nonexistence problem for nonautonomous abstract evolution equations (1997) (32)
Dead Cores and Bursts for Quasilinear Singular Elliptic Equations (2006) (32)
The second law of thermodynamics for systems with approximate cycles (1981) (31)
A priori estimates for solutions of the minimal surface equation (1963) (31)
Qualitative properties for solutions of singular elliptic inequalities on complete manifolds (2007) (31)
Existence and non-existence results for ground states of quasilinear elliptic equations (1992) (30)
Gradient bounds and Liouville theorems for quasilinear elliptic equations (1978) (28)
Ground States for the Prescribed Mean Curvature Equation: The Supercritical Case (1988) (28)
Recent Trends in Nonlinear Partial Differential Equations II: Stationary Problems (2013) (28)
Asymptotic Stability for Nonlinear Parabolic Systems (1996) (28)
Recent Trends in Nonlinear Partial Differential Equations I: Evolution Problems (2013) (27)
On the impossibility of linear Cauchy and Piola-Kirchhoff constitutive theories for stress in solids (1979) (27)
The form of interfacial surfaces in Korteweg's theory of phase equilibria (1983) (27)
A new definition of the integral for non-parametric problems in the calculus of variations (1959) (27)
The Derivation of Stress-Deformation Relations for a Stokesian Fluid (1959) (24)
Selected works of Eberhard Hopf with commentaries (2002) (24)
Free Boundaries and Jets in the Theory of Cavitation (1950) (23)
A remark on entire solutions of quasilinear elliptic equations (2011) (22)
Poiseuille and Couette flow of non-Newtonian fluids (1959) (21)
Some new results on global nonexistence for abstract evolution with positive initial energy (1997) (20)
On the mathematical basis for Prandtl's boundary layer theory: an example (1968) (20)
Ground States and Free Boundary Value Problems for the n-Laplacian in n Dimensional Space (2000) (20)
CHAPTER 6 - Maximum Principles for Elliptic Partial Differential Equations (2007) (20)
Uniqueness of Axially Symmetric Subsonic Flow past a Finite Body (1955) (20)
Asymptotic stability for ordinary differential systems with time-dependent restoring potentials (1995) (20)
Variational problems of minimal surface type. I (1963) (19)
The equations of continuum mechanics and the laws of thermodynamics (1996) (18)
Comparison principles, uniqueness and symmetry results of solutions of quasilinear elliptic equations and inequalities (2013) (18)
Dynamic Changes of Phase in a van der Waals Fluid (1986) (17)
On a fundamental theorem of the calculus of variations (1959) (16)
Existence and Uniqueness of Ground State Solutions of Quasilinear Elliptic Equations (1988) (16)
CONTINUATION AND LIMIT BEHAVIOR FOR DAMPED QUASI-VARIATIONAL SYSTEMS (1993) (15)
On the derivation of Hamilton's equations (1994) (14)
Liouville theorems and gradient bounds for quasilinear elliptic systems (1977) (13)
A maximum principle for nonlinear parabolic equations (1967) (12)
Erratum to "The strong maximum principle revisited" [J. Differential Equations (2004) 1-66] (2004) (12)
The Dirichlet problem for the minimal surface equation, with infinite data (1966) (12)
The Liouville theorem for homogeneous elliptic differential inequalities (2011) (11)
The behaviour of similar solutions in a compressible boundary layer (1968) (10)
On the Entropy Change Through a Shock Layer (1961) (9)
Foundations of classical thermodynamics (1975) (9)
On Plane and Axially Symmetric Free Boundary Problems (1953) (9)
Existence for a nonlinear wave equation with nonlinear damping and source terms (2003) (9)
Two Hydrodynamic Comparison Theorems (1952) (9)
Uniqueness Theorems for Two Free Boundary Problems (1952) (9)
The Area Rule for Simple Fluid Phase Transitions (2008) (9)
The dirichlet problem for quasilinear equations with many independent variables. (1967) (8)
Asymptotic Integration of Second Order Systems (1994) (8)
Estimates for vertical points of solutions of prescribed mean curvature type equations II (1992) (8)
Ground states of a quasilinear equation (1994) (8)
Remarks on the first eigenspace for polyharmonic operators (1988) (8)
Existence and Nonexistence of Positive Radial Solutions of Neumann Problems with Critical Sobolev Exponents (2004) (7)
Asymptotic behavior of solutions of a nonstandard second order differential equation (1993) (7)
Analysis and Continuum Mechanics: A Collection of Papers Dedicated to J. Serrin on His Sixtieth Birthday (1989) (7)
Addendum to “a priori estimates for solutions of the minimal surface equation” (1968) (7)
Global Asymptotic Stability for Strongly Nonlinear Second Order Systems (1992) (7)
Nonlinear diffusion equations and their equilibrium states, 3 : proceedings from a conference held August 20-29, 1989 in Gregynog, Wales (1992) (6)
Space, Time and Energy (1998) (6)
Elliptic equations and products of positive definite matrices (2005) (5)
Stability for Abstract Evolution Equations (1996) (5)
Comparison Theorems for Subsonic Flows (1954) (5)
On the Area of Curved Surfaces (1961) (4)
The splitting of intrinsic energy and the origin of mass density in continuum mechanics (2014) (4)
The Breadth and Depth of Continuum Mechanics: A Collection of Papers Dedicated to J.L. Ericksen on His Sixtieth Birthday (1986) (3)
Strong convergence in a product space (1962) (3)
A maximum principle for mean-curvature type elliptic inequalities (2006) (3)
The laws of thermodynamics (1987) (3)
Analysis and Thermomechanics (1987) (3)
Recent developments in the mathematical aspects of boundary layer theory (1971) (3)
Remarks on Lyapunov stability (1995) (3)
Nonlinear diffusion equations and their equilibrium states : proceedings of a microprogram held August 25-September 12, 1986 (1988) (3)
The Harnack inequality in R 2 for quasilinear elliptic equations (2002) (3)
Global Bifurcation Results fora Semilinear Biharmonic Equation on all of IR ' (2013) (2)
A note on the wave equation (1954) (2)
Nonlinear analysis and continuum mechanics : papers for the 65th birthday of James Serrin (1998) (2)
A note on harmonic functions defined in a half plane (1956) (2)
CAPACITARY ESTIMATES AND THE LOCAL BEHAVIOR OF SOLUTIONS OF NONLINEAR SUBELLIPTIC EQUATIONS By LUCA CAPOGNA, DONATELLA DANIELLI, and NICOLA GAROFALO Dedicated to James Serrin (1996) (2)
The Mathematical Theory of Viscous Incompressible Flow (O. A. Ladyzhenskaya) (1964) (2)
Analysis and thermodynamics : a collection of papers dedicated to W. Noll on his sixtieth birthday (1987) (1)
Applied mathematics and scientific thought (1984) (1)
Quasi-variational systems (1996) (1)
Stability and Blow-up for Dissipative Evolution Equations (2020) (1)
An Appreciation of Clifford Truesdell (2003) (1)
Ground States of Degenerate Quasilinear Equations (1993) (1)
A. Preface and introductory remarks B. The equation of motion I. Kinematics and dynamics of fluid motion II. Energy and momentum transfer III. Transformation of coordinates IV. Variational principles C. Incompressible and barotropic perfect fluids I.Genera1 princip1es II.Irrotationa1 motion III.Rota (2014) (0)
Comparison and Averaging Methods in Mathematical Physics (2011) (0)
Acta Math. 170 (1993), 275–307. PRECISE DAMPING CONDITIONS FOR GLOBAL ASYMPTOTIC STABILITY FOR NONLINEAR SECOND ORDER SYSTEMS (2002) (0)
The ground state problem for quasilinear elliptic equations (1992) (0)
Stationary Problems : workshop in honor of Patrizia Pucci's 60th birthday : nonlinear partial differential equations, May 28-June 1, 2012, University of Perugia, Perugia, Italy (2013) (0)
Problems in Hydrodynamics and Partial Differential Equations. (1963) (0)
ISOLATED SINGULARITIES OF SOLUTIONS OF LINEAR (2016) (0)
Wave Propagation in Nonlinear Parabolic Problems and Other Problems. (1978) (0)
Lectures on Stability. (1995) (0)
Jean Leray’s Contributions to Nonlinear Differential Equations, Fixed Point Theory and Fluid Mechanics (2014) (0)
ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF OSCILLATOR EQUATIONS WITH SUBLINEAR DAMPING (2016) (0)
The splitting of intrinsic energy and the origin of mass density in continuum mechanics (2013) (0)
Calogero Vinti - Opere Scelte (2008) (0)
MAPI'INI;S WITII I++tt'NIII+;D I) EFt)RMATI~)N AS EXTRf:.~A t,S {~F I)IIII(+III+F'i + TYPE tNTI+:Glle~LS (1968) (0)
Problems for Solution: E1361-E1365 (1959) (0)

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What Schools Are Affiliated With James Serrin?

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