## Serrin, James

Compute Distance To:
 Author ID: serrin.james Published as: Serrin, James; Serrin, J.; Serrin, James B.; Serrin, J. B.; Serrin, James B. jun. more...less Homepage: http://www-users.math.umn.edu/~math-sa-serrin/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
 Documents Indexed: 177 Publications since 1950, including 2 Books 8 Contributions as Editor · 1 Further Contribution Biographic References: 5 Publications Co-Authors: 49 Co-Authors with 117 Joint Publications 1,777 Co-Co-Authors
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### Co-Authors

 67 single-authored 43 Pucci, Patrizia 13 Peletier, Lambertus Adrianus 13 Zou, Henghui 5 Jenkins, Howard 5 Ni, Wei-Ming 5 Weinberger, Hans Felix 4 Fosdick, Roger L. 4 Levine, Howard Allen 3 Farina, Alberto 3 Franchi, Bruno 3 Gazzola, Filippo 3 Gilbarg, David 3 Lanconelli, Ermanno 3 Mitidieri, Enzo Luigi 3 Rădulescu, Vicenţiu D. 3 Tang, Moxun 2 Aronson, Donald G. 2 Atkinson, Frederick Valentine 2 García-Huidobro, Marta 2 Hagan, R. 2 Harris, William A. jun. 2 Manasevich, Raul F. 2 McLeod, John Bryce 2 McLeod, Kevin 2 Meyers, Norman G. 2 Park, Sangro 1 Butzer, Paul Leo 1 Coleman, Bernard David 1 Conley, Charles H. 1 Dafermos, Constantine M. 1 D’Ambrosio, Lorenzo 1 Douglas, Jim jun. 1 Dupont, Todd F. 1 Edmunds, David Eric 1 Finn, Robert Samuel 1 Goffman, Casper 1 Hopf, Eberhard 1 Joseph, Daniel D. 1 Leslie, Frank M. 1 Lloyd, Noel Glynne 1 Merle, Frank 1 Nessel, Rolf Joachim 1 Owen, David Roger Jones 1 Rigoli, Marco 1 Sciunzi, Berardino 1 Sinaĭ, Yakov Grigor’evich 1 Synge Morawetz, Cathleen 1 Szőkefalvi-Nagy, Béla 1 Todorova, Grozdena Hr. 1 Truesdell, Clifford Ambrose III 1 Varberg, Dale E. 1 Vitillaro, Enzo 1 Whang, Y. C. 1 Yarur, Cecilia S.
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### Serials

 29 Archive for Rational Mechanics and Analysis 10 Journal of Differential Equations 6 Acta Mathematica 5 Indiana University Mathematics Journal 5 Differential and Integral Equations 5 Journal of Rational Mechanics and Analysis 3 Journal d’Analyse Mathématique 3 American Journal of Mathematics 3 Journal of Functional Analysis 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Atti del Seminario Matematico e Fisico dell’Università di Modena 3 Journal of Elasticity 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the National Academy of Sciences of the United States of America 2 American Mathematical Monthly 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Duke Mathematical Journal 2 Philosophical Transactions of the Royal Society of London. Ser. A 2 Proceedings of the London Mathematical Society. Third Series 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Asymptotic Analysis 2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 2 SIAM Journal on Mathematical Analysis 2 Topological Methods in Nonlinear Analysis 2 Bulletin of the American Mathematical Society 2 Journal of Mathematics and Mechanics 2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 2 Journal of Mathematics and Physics 2 Contemporary Mathematics 2 Mathematical Sciences Research Institute Publications 2 Progress in Nonlinear Differential Equations and Their Applications 1 International Journal of Engineering Science 1 Israel Journal of Mathematics 1 Journal of Fluid Mechanics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin of the London Mathematical Society 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quarterly of Applied Mathematics 1 Ricerche di Matematica 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Communications in Partial Differential Equations 1 Continuum Mechanics and Thermodynamics 1 Journal of Mathematical Sciences (New York) 1 Advances in Differential Equations 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Aerospace Sciences 1 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Translations. Series 2. American Mathematical Society 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Contemporary Mathematicians
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### Fields

 88 Partial differential equations (35-XX) 17 Ordinary differential equations (34-XX) 12 Fluid mechanics (76-XX) 11 Mechanics of deformable solids (74-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 General and overarching topics; collections (00-XX) 7 Differential geometry (53-XX) 5 History and biography (01-XX) 4 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Potential theory (31-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of particles and systems (70-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

166 Publications have been cited 7,460 times in 5,548 Documents Cited by Year
A symmetry problem in potential theory. Zbl 0222.31007
Serrin, James
1971
Local behavior of solutions of quasi-linear equations. Zbl 0128.09101
Serrin, J.
1964
On the interior regularity of weak solutions of the Navier-Stokes equations. Zbl 0106.18302
Serrin, James
1962
The maximum principle. Zbl 1134.35001
Pucci, Patrizia; Serrin, James
2007
The problem of Dirichlet for quasilinear elliptic differential equations with many independent variables. Zbl 0181.38003
Serrin, J.
1969
A general variational identity. Zbl 0625.35027
Pucci, Patrizia; Serrin, James
1986
On the thermomechanics of interstitial working. Zbl 0582.73004
Dunn, J. E.; Serrin, J.
1985
Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities. Zbl 1059.35040
Serrin, James; Zou, Henghui
2002
Local behavior of solutions of quasilinear parabolic equations. Zbl 0154.12001
Aronson, D. G.; Serrin, J.
1967
Pathological solutions of elliptic differential equations. Zbl 0142.37601
Serrin, J.
1964
Global nonexistence theorems for quasilinear evolution equations with dissipation. Zbl 0886.35096
Levine, Howard A.; Serrin, James
1997
The initial value problem for the Navier-Stokes equations. Zbl 0115.08502
Serrin, James
1963
Non-existence of positive solutions of Lane-Emden systems. Zbl 0868.35032
Serrin, James; Zou, Henghui
1996
Isolated singularities of solutions of quasi-linear equations. Zbl 0173.39202
Serrin, J.
1965
A mountain pass theorem. Zbl 0585.58006
Pucci, Patrizia; Serrin, James
1985
The strong maximum principle revisited. Zbl 1109.35022
Pucci, Patrizia; Serrin, James
2004
Uniqueness of positive radial solutions of $$\Delta u+f(u)=0$$ in $${\mathbb{R}}^ n$$. Zbl 0667.35023
McLeod, Kevin; Serrin, James
1987
Sublinear functions of measures and variational integrals. Zbl 0123.09804
Goffman, Casper; Serrin, James
1964
Uniqueness of ground states for quasilinear elliptic equations. Zbl 0979.35049
Serrin, James; Tang, Moxun
2000
On isolated singularities of solutions of second order elliptic differential equations. Zbl 0071.09701
Gilbarg, D.; Serrin, James
1956
On the uniqueness of compressible fluid motions. Zbl 0089.19103
Serrin, James
1959
Existence and uniqueness of nonnegative solutions of quasilinear equations in $$\mathbb{R}^ n$$. Zbl 0853.35035
Franchi, Bruno; Lanconelli, Ermanno; Serrin, James
1996
On the stability of viscous fluid motions. Zbl 0086.20001
Serrin, James
1959
Uniqueness of positive solutions of semilinear equations in $$R^ n$$. Zbl 0516.35031
Peletier, L. A.; Serrin, J.
1983
Global existence and global nonexistence of solutions of the Cauchy problem for a nonlinearly damped wave equation. Zbl 0922.35094
Levine, Howard A.; Park, Sang Ro; Serrin, James
1998
Existence of positive solutions of the Lane-Emden system. Zbl 0917.35031
Serrin, James; Zou, Henghui
1998
Nonexistence theorems for singular solutions of quasilinear partial differential equations. Zbl 0602.35031
Ni, Wei-Ming; Serrin, James
1986
On the definition and properties of certain variational integrals. Zbl 0102.04601
Serrin, James
1961
Critical exponents and critical dimensions of polyharmonic operators. Zbl 0717.35032
Pucci, Patrizia; Serrin, James
1990
The Dirichlet problem for the minimal surface equation in higher dimensions. Zbl 0159.40204
Jenkins, Howard; Serrin, James
1968
A note on the existence of periodic solutions of the Navier-Stokes equations. Zbl 0089.19102
Serrin, James
1959
Global nonexistence for abstract evolution equations with positive initial energy. Zbl 0915.35012
Pucci, Patrizia; Serrin, James
1998
Symmetry of ground states of quasilinear elliptic equations. Zbl 0940.35079
Serrin, James; Zou, Henghui
1999
Non-existence theorems for quasilinear partial differential equations. Zbl 0625.35028
Ni, Wei-Ming; Serrin, James
1985
Extensions of the mountain pass theorem. Zbl 0564.58012
Pucci, Patrizia; Serrin, James
1984
Uniqueness of non-negative solutions of semilinear equations in $${\mathbb{R}}^ n$$. Zbl 0577.35035
Peletier, L. A.; Serrin, James
1986
A strong maximum principle and a compact support principle for singular elliptic inequalities. Zbl 0952.35045
Pucci, Patrizia; Serrin, James; Zou, Henghui
1999
On the Harnack inequality for linear elliptic equations. Zbl 0070.32302
Serrin, James
1956
$$H = W$$. Zbl 0123.30501
Meyers, Norman G.; Serrin, James
1964
Precise damping conditions for global asymptotic stability for nonlinear second order systems. Zbl 0797.34059
Pucci, Patrizia; Serrin, James
1993
The exterior Dirichlet problem for second order elliptic partial differential equations. Zbl 0094.29701
Meyers, Norman; Serrin, James
1960
Asymptotic stability for nonautonomous dissipative wave systems. Zbl 0865.35089
Pucci, Patrizia; Serrin, James
1996
Variational problems of minimal surface type. II: Boundary value problems for the minimal surface equation. Zbl 0171.08301
Jenkins, Howard; Serrin, James
1966
A general chain rule for derivatices and the change of variables formula for the Lebesgue integral. Zbl 0175.34401
Serrin, J.; Varberg, D.
1969
Uniqueness of ground states for quasilinear elliptic operators. Zbl 0920.35054
Pucci, Patrizia; Serrin, James
1998
Existence of ground states and free boundary problems for quasilinear elliptic operators. Zbl 0987.35064
Gazzola, Filippo; Serrin, James; Tang, Moxun
2000
Existence for a nonlinear wave equation with damping and source terms. Zbl 1036.35146
Serrin, James; Todorova, Grozdena; Vitillaro, Enzo
2003
Existence of positive entire solutions of elliptic Hamiltonian systems. Zbl 0906.35033
Serrin, James; Zou, Henghui
1998
Some remarks on global nonexistence for nonautonomous abstract evolution equations. Zbl 0882.35081
Levine, Howard A.; Pucci, Patrizia; Serrin, James
1997
Removable singularities of solutions of elliptic equations. Zbl 0135.15601
Serrin, J.
1964
The existence of similar solutions for some laminar boundary layer problems. Zbl 0169.28305
McLeod, J. B.; Serrin, J.
1968
Uniqueness of solutions of semilinear Poisson equations. Zbl 0474.35047
McLeod, Kevin; Serrin, James
1981
Asymptotic stability for intermittently controlled nonlinear oscillators. Zbl 0809.34067
Pucci, Patrizia; Serrin, James
1994
Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form. Zbl 0222.35017
Douglas, Jim jun.; Dupont, Todd; Serrin, James
1971
Global existence and nonexistence theorems for quasilinear evolution equations of formally parabolic type. Zbl 0891.35062
Levine, Howard A.; Park, Sang Ro; Serrin, James
1998
A note on the strong maximum principle for elliptic differential inequalities. Zbl 0952.35163
Pucci, Patrizia; Serrin, James
2000
On the differentiability of functions of several variables. Zbl 0109.03904
Serrin, J.
1961
Gradient estimates for solutions of nonlinear elliptic and parabolic equations. Zbl 0271.35004
Serrin, James
1971
On the strong maximum principle for quasilinear second order differential inequalities. Zbl 0188.41701
Serrin, J.
1970
On the Hölder continuity of quasi-conformal and elliptic mappings. Zbl 0082.29401
Finn, Robert; Serrin, James
1958
Removable singularities of solutions of elliptic equations. II. Zbl 0156.33801
Serrin, J.
1965
Entire solutions of completely coercive quasilinear elliptic equations. Zbl 1225.35097
Farina, Alberto; Serrin, James
2011
Local asymptotic stability for dissipative wave systems. Zbl 0924.35085
Pucci, Patrizia; Serrin, James
1998
Isolated singularities of solutions of linear elliptic equations. Zbl 0137.07001
Serrin, J.; Weinberger, H. F.
1966
Ground states for the prescribed mean curvature equation. Zbl 0632.35004
Peletier, L. A.; Serrin, J.
1987
Non-existence of positive solutions of semilinear elliptic systems. Zbl 0900.35121
Serrin, James; Zou, Henghui
1994
Rectilinear steady flow of simple fluids. Zbl 0261.76001
Fosdick, R. L.; Serrin, J.
1973
Qualitative properties of ground states for singular elliptic equations with weights. Zbl 1115.35050
Pucci, Patrizia; García-Huidobro, Marta; Manásevich, Raúl; Serrin, James
2006
Entire solutions of completely coercive quasilinear elliptic equations. II. Zbl 1225.35098
Farina, Alberto; Serrin, James
2011
Entire solutions of nonlinear Poisson equations. Zbl 0229.35035
Serrin, James
1972
The swirling vortex. Zbl 0254.76029
Serrin, J.
1972
On surfaces of constant mean curvature which span a given space curve. Zbl 0182.24001
Serrin, J.
1969
Asymptotic behaviour of velocity profiles in the Prandtl boundary layer theory. Zbl 0149.44901
Serrin, J.
1967
Precise damping conditions for global asymptotic stability for nonlinear second order systems. II. Zbl 0814.34033
Pucci, Patrizia; Serrin, James
1994
Continuation and limit properties for solutions of strongly nonlinear second order differential equations. Zbl 0733.34042
Pucci, Patrizia; Serrin, James
1991
The dirichlet problem for surfaces of constant mean curvature. Zbl 0199.16604
Serrin, James
1970
Maximum principles for elliptic partial differential equations. Zbl 1193.35024
Pucci, Patrizia; Serrin, James
2007
Variational problems of minimal surface type. I. Zbl 0122.39602
Jenkins, Howard; Serrin, James
1963
A Harnack inequality for nonlinear equations. Zbl 0137.06902
Serrin, J.
1963
On the Phragmén-Lindelöf principle for elliptic differential equations. Zbl 0055.32802
Serrin, J. B.
1954
A remark on the preceding paper of Amann. Zbl 0225.35042
Serrin, James
1972
Existence and non-existence results for ground states of quasilinear elliptic equations. Zbl 0795.35027
Serrin, James; Zou, Henghui
1992
The structure of the critical set in the mountain pass theorem. Zbl 0611.58019
Pucci, Patrizia; Serrin, James
1987
Global properties of continuum thermodynamic processes. Zbl 0332.73004
Fosdick, Roger L.; Serrin, James
1975
A new definition of the integral for non-parametric problems in the calculus of variations. Zbl 0089.08601
Serrin, James
1959
Dead cores and bursts for quasilinear singular elliptic equations. Zbl 1170.35376
Pucci, Patrizia; Serrin, James
2006
A remark on the Morrey potential. Zbl 1129.31003
Serrin, James
2007
Uniqueness of ground states for quasilinear elliptic equations in the exponential case. Zbl 0920.35055
Pucci, Patrizia; Serrin, James
1998
A priori estimates for solutions of the minimal surface equation. Zbl 0117.07304
Serrin, J.
1963
Qualitative properties for solutions of singular elliptic inequalities on complete manifolds. Zbl 1143.35099
Pucci, Patrizia; Rigoli, Marco; Serrin, James
2007
On the impossibility of linear Cauchy and Piola-Kirchhoff constitutive theories for stress in solids. Zbl 0399.73007
Fosdick, R. L.; Serrin, J.
1979
Entire solutions of quasilinear elliptic equations. Zbl 1180.35243
Serrin, James
2009
Classification of positive solutions of quasilinear elliptic equations. Zbl 0813.35019
Serrin, James; Zou, Henghui
1994
Ground states for the prescribed mean curvature equation: The supercritical case. Zbl 0665.35030
Atkinson, F. V.; Peletier, L. A.; Serrin, J.
1988
Asymptotic stability for nonlinear parabolic systems. Zbl 0874.35056
Pucci, Patrizia; Serrin, James
1996
Gradient bounds and Liouville theorems for quasilinear elliptic equations. Zbl 0383.35025
Peletier, L. A.; Serrin, J.
1978
The derivation of stress-deformation relations for a Stokesian fluid. Zbl 0089.18601
Serrin, James
1959
Some new results on global nonexistence for abstract evolution with positive initial energy. Zbl 0911.35035
Pucci, Patrizia; Serrin, James
1997
Ground states and free boundary value problem for the $$n$$-Laplacian in $$n$$ dimensional space. Zbl 0996.35019
García-Huidobro, Marta; Manásevich, Raúl; Serrin, James; Tang, Moxun; Yarur, Cecilia S.
2000
A remark on entire solutions of quasilinear elliptic equations. Zbl 1214.35028
Pucci, Patrizia; Serrin, James
2011
The splitting of intrinsic energy and the origin of mass density in continuum mechanics. Zbl 1341.74018
Fosdick, Roger; Serrin, James
2014
Comparison principles, uniqueness and symmetry results of solutions of quasilinear elliptic equations and inequalities. Zbl 1287.35033
D&rsquo;Ambrosio, Lorenzo; Farina, Alberto; Mitidieri, Enzo; Serrin, James
2013
Entire solutions of completely coercive quasilinear elliptic equations. Zbl 1225.35097
Farina, Alberto; Serrin, James
2011
Entire solutions of completely coercive quasilinear elliptic equations. II. Zbl 1225.35098
Farina, Alberto; Serrin, James
2011
A remark on entire solutions of quasilinear elliptic equations. Zbl 1214.35028
Pucci, Patrizia; Serrin, James
2011
The Liouville theorem for homogeneous elliptic differential inequalities. Zbl 1291.35084
Serrin, J.
2011
Weakly subharmonic function. Zbl 1236.31006
Serrin, James
2011
Entire solutions of quasilinear elliptic equations. Zbl 1180.35243
Serrin, James
2009
The area rule for simple fluid phase transitions. Zbl 1141.80002
Serrin, James
2008
The maximum principle. Zbl 1134.35001
Pucci, Patrizia; Serrin, James
2007
Maximum principles for elliptic partial differential equations. Zbl 1193.35024
Pucci, Patrizia; Serrin, James
2007
A remark on the Morrey potential. Zbl 1129.31003
Serrin, James
2007
Qualitative properties for solutions of singular elliptic inequalities on complete manifolds. Zbl 1143.35099
Pucci, Patrizia; Rigoli, Marco; Serrin, James
2007
Partial and full symmetry of solutions of quasilinear elliptic equations, via the comparison principle. Zbl 1200.35125
Pucci, Patrizia; Sciunzi, Berardino; Serrin, James
2007
Qualitative properties of ground states for singular elliptic equations with weights. Zbl 1115.35050
Pucci, Patrizia; García-Huidobro, Marta; Manásevich, Raúl; Serrin, James
2006
Dead cores and bursts for quasilinear singular elliptic equations. Zbl 1170.35376
Pucci, Patrizia; Serrin, James
2006
A maximum principle for mean-curvature type elliptic inequalities. Zbl 1245.35054
Serrin, James
2006
Elliptic equations and products of positive definite matrices. Zbl 1330.35094
Conley, Charles H.; Pucci, Patrizia; Serrin, James
2005
The strong maximum principle revisited. Zbl 1109.35022
Pucci, Patrizia; Serrin, James
2004
Existence for a nonlinear wave equation with damping and source terms. Zbl 1036.35146
Serrin, James; Todorova, Grozdena; Vitillaro, Enzo
2003
Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. II. Zbl 1086.35041
Gazzola, Filippo; Peletier, Bert; Pucci, Patrizia; Serrin, James
2003
Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities. Zbl 1059.35040
Serrin, James; Zou, Henghui
2002
Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. Zbl 1013.35031
Gazzola, Filippo; Serrin, James
2002
Selected works of Eberhard Hopf. With commentaries. Edited by Cathleen S. Morawetz, James B. Serrin and Yakov G. Sinai. Zbl 1011.01017
Hopf, Eberhard
2002
The Harnack inequality in $$\mathbb R^2$$ for quasilinear elliptic equations. Zbl 1011.35055
Pucci, P.; Serrin, J.
2001
Uniqueness of ground states for quasilinear elliptic equations. Zbl 0979.35049
Serrin, James; Tang, Moxun
2000
Existence of ground states and free boundary problems for quasilinear elliptic operators. Zbl 0987.35064
Gazzola, Filippo; Serrin, James; Tang, Moxun
2000
A note on the strong maximum principle for elliptic differential inequalities. Zbl 0952.35163
Pucci, Patrizia; Serrin, James
2000
Ground states and free boundary value problem for the $$n$$-Laplacian in $$n$$ dimensional space. Zbl 0996.35019
García-Huidobro, Marta; Manásevich, Raúl; Serrin, James; Tang, Moxun; Yarur, Cecilia S.
2000
Symmetry of ground states of quasilinear elliptic equations. Zbl 0940.35079
Serrin, James; Zou, Henghui
1999
A strong maximum principle and a compact support principle for singular elliptic inequalities. Zbl 0952.35045
Pucci, Patrizia; Serrin, James; Zou, Henghui
1999
A strong maximum principle and a compact support principle for singular elliptic inequalities. Zbl 0945.35032
Pucci, Patrizia; Serrin, James; Zou, Henghui
1999
Global existence and global nonexistence of solutions of the Cauchy problem for a nonlinearly damped wave equation. Zbl 0922.35094
Levine, Howard A.; Park, Sang Ro; Serrin, James
1998
Existence of positive solutions of the Lane-Emden system. Zbl 0917.35031
Serrin, James; Zou, Henghui
1998
Global nonexistence for abstract evolution equations with positive initial energy. Zbl 0915.35012
Pucci, Patrizia; Serrin, James
1998
Uniqueness of ground states for quasilinear elliptic operators. Zbl 0920.35054
Pucci, Patrizia; Serrin, James
1998
Existence of positive entire solutions of elliptic Hamiltonian systems. Zbl 0906.35033
Serrin, James; Zou, Henghui
1998
Global existence and nonexistence theorems for quasilinear evolution equations of formally parabolic type. Zbl 0891.35062
Levine, Howard A.; Park, Sang Ro; Serrin, James
1998
Local asymptotic stability for dissipative wave systems. Zbl 0924.35085
Pucci, Patrizia; Serrin, James
1998
Uniqueness of ground states for quasilinear elliptic equations in the exponential case. Zbl 0920.35055
Pucci, Patrizia; Serrin, James
1998
Stability and blow-up for dissipative evolution equations. Zbl 0886.35027
Pucci, Patrizia; Serrin, James
1998
Global nonexistence theorems for quasilinear evolution equations with dissipation. Zbl 0886.35096
Levine, Howard A.; Serrin, James
1997
Some remarks on global nonexistence for nonautonomous abstract evolution equations. Zbl 0882.35081
Levine, Howard A.; Pucci, Patrizia; Serrin, James
1997
Some new results on global nonexistence for abstract evolution with positive initial energy. Zbl 0911.35035
Pucci, Patrizia; Serrin, James
1997
Non-existence of positive solutions of Lane-Emden systems. Zbl 0868.35032
Serrin, James; Zou, Henghui
1996
Existence and uniqueness of nonnegative solutions of quasilinear equations in $$\mathbb{R}^ n$$. Zbl 0853.35035
Franchi, Bruno; Lanconelli, Ermanno; Serrin, James
1996
Asymptotic stability for nonautonomous dissipative wave systems. Zbl 0865.35089
Pucci, Patrizia; Serrin, James
1996
Asymptotic stability for nonlinear parabolic systems. Zbl 0874.35056
Pucci, Patrizia; Serrin, James
1996
The equations of continuum mechanics and the laws of thermodynamics. Zbl 0884.73006
Serrin, James
1996
Stability for abstract evolution equations. Zbl 0879.47027
Pucci, P.; Serrin, James
1996
Asymptotic stability for ordinary differential systems with time-dependent restoring potentials. Zbl 0861.34034
Pucci, Patrizia; Serrin, James
1995
Remarks on Lyapunov stability. Zbl 0844.34055
Pucci, Patrizia; Serrin, James
1995
Asymptotic stability for intermittently controlled nonlinear oscillators. Zbl 0809.34067
Pucci, Patrizia; Serrin, James
1994
Non-existence of positive solutions of semilinear elliptic systems. Zbl 0900.35121
Serrin, James; Zou, Henghui
1994
Precise damping conditions for global asymptotic stability for nonlinear second order systems. II. Zbl 0814.34033
Pucci, Patrizia; Serrin, James
1994
Classification of positive solutions of quasilinear elliptic equations. Zbl 0813.35019
Serrin, James; Zou, Henghui
1994
On the derivation of Hamilton’s equations. Zbl 0809.70012
Pucci, Patrizia; Serrin, James
1994
A bifurcation problem at a singular limit. Zbl 0810.35004
Merle, F.; Peletier, L. A.; Serrin, J.
1994
Asymptotic integration of second order systems. Zbl 0815.34038
Serrin, James; Zou, Henghui
1994
Precise damping conditions for global asymptotic stability for nonlinear second order systems. Zbl 0797.34059
Pucci, Patrizia; Serrin, James
1993
Continuation and limit behavior for damped quasi-variational systems. Zbl 0796.34023
Pucci, Patrizia; Serrin, James
1993
Asymptotic behavior of solutions of a nonstandard second order differential equation. Zbl 0780.34038
Harris, William A. jun.; Pucci, Patrizia; Serrin, James
1993
Existence and non-existence results for ground states of quasilinear elliptic equations. Zbl 0795.35027
Serrin, James; Zou, Henghui
1992
Estimates for vertical points of solutions of prescribed mean curvature type equations. II. Zbl 0755.35012
Atkinson, F. V.; Peletier, L. A.; Serrin, J.
1992
Global asymptotic stability for strongly nonlinear second order systems. Zbl 0768.49023
Pucci, Patrizia; Serrin, James
1992
Continuation and limit properties for solutions of strongly nonlinear second order differential equations. Zbl 0733.34042
Pucci, Patrizia; Serrin, James
1991
Critical exponents and critical dimensions of polyharmonic operators. Zbl 0717.35032
Pucci, Patrizia; Serrin, James
1990
Asymptotic properties for solutions of strongly nonlinear second order differential equations. Zbl 0717.34056
Pucci, Patrizia; Serrin, James
1989
Ground states for the prescribed mean curvature equation: The supercritical case. Zbl 0665.35030
Atkinson, F. V.; Peletier, L. A.; Serrin, J.
1988
Positive solutions of a prescribed mean curvature problem. Zbl 0673.35026
Serrin, James
1988
Remarks on the first eigenspace for polyharmonic operators. Zbl 0664.35063
Pucci, Patrizia; Serrin, James
1988
Existence and uniqueness of ground state solutions of quasilinear elliptic equations. Zbl 0665.35022
Franchi, Bruno; Lanconelli, Ermanno; Serrin, James
1988
Nonlinear diffusion equations and their equilibrium states I. Proceedings of a microprogram held August 25-September 12, 1986 (Berkeley, CA, USA). Zbl 0643.00015
1988
Uniqueness of positive radial solutions of $$\Delta u+f(u)=0$$ in $${\mathbb{R}}^ n$$. Zbl 0667.35023
McLeod, Kevin; Serrin, James
1987
Ground states for the prescribed mean curvature equation. Zbl 0632.35004
Peletier, L. A.; Serrin, J.
1987
The structure of the critical set in the mountain pass theorem. Zbl 0611.58019
Pucci, Patrizia; Serrin, James
1987
A general variational identity. Zbl 0625.35027
Pucci, Patrizia; Serrin, James
1986
Nonexistence theorems for singular solutions of quasilinear partial differential equations. Zbl 0602.35031
Ni, Wei-Ming; Serrin, James
1986
Uniqueness of non-negative solutions of semilinear equations in $${\mathbb{R}}^ n$$. Zbl 0577.35035
Peletier, L. A.; Serrin, James
1986
An outline of thermodynamical structure. Zbl 0612.73002
Serrin, J.
1986
Dynamic changes of phase in a van der Waals fluid. Zbl 0613.76074
Hagan, R.; Serrin, J.
1986
New perspectives in thermodynamics. (Lectures first delivered at the Institute for Mathematics and its Applications (IMA), University of Minnesota in connection with Conference ”Thermodynamics and Phase Transitions”, held at Minneapolis, Minnesota, June 1983). Zbl 0591.00028
1986
On the thermomechanics of interstitial working. Zbl 0582.73004
Dunn, J. E.; Serrin, J.
1985
A mountain pass theorem. Zbl 0585.58006
Pucci, Patrizia; Serrin, James
1985
Non-existence theorems for quasilinear partial differential equations. Zbl 0625.35028
Ni, Wei-Ming; Serrin, James
1985
Existence and uniqueness of ground states of quasilinear elliptic equations. Zbl 0647.35025
Franchi, Bruno; Lanconelli, Ermanno; Serrin, James
1985
Extensions of the mountain pass theorem. Zbl 0564.58012
Pucci, Patrizia; Serrin, James
1984
One-dimensional shock layers in Korteweg fluids. Zbl 0574.76063
Hagan, R.; Serrin, J.
1984
The structure and laws of thermodynamics. Zbl 0576.01007
Serrin, James
1984
Uniqueness of positive solutions of semilinear equations in $$R^ n$$. Zbl 0516.35031
Peletier, L. A.; Serrin, J.
1983
The form of interfacial surfaces in Korteweg’s theory of phase equilibria. Zbl 0533.76099
Serrin, James
1983
Uniqueness of solutions of semilinear Poisson equations. Zbl 0474.35047
McLeod, Kevin; Serrin, James
1981
The second law of thermodynamics for systems with approximate cycles. Zbl 0474.73002
Coleman, Bernard D.; Owen, David R.; Serrin, James
1981
Phase transitions and interfacial layers for van der Waals fluids. Zbl 0617.76121
Serrin, James
1981
On the impossibility of linear Cauchy and Piola-Kirchhoff constitutive theories for stress in solids. Zbl 0399.73007
Fosdick, R. L.; Serrin, J.
1979
Gradient bounds and Liouville theorems for quasilinear elliptic equations. Zbl 0383.35025
Peletier, L. A.; Serrin, J.
1978
The concepts of thermodynamics. Zbl 0433.73003
Serrin, James
1978
Optimal shapes for brittle beams under torsion. Zbl 0425.73046
Weinberger, H. F.; Serrin, J. B.
1978
Liouville theorems and gradient bounds for quasilinear elliptic systems. Zbl 0368.35034
Serrin, James
1977
Curvature inequalities for surfaces over a disk. Zbl 0327.53002
Serrin, James; Weinberger, Hans F.
1976
...and 66 more Documents
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### Cited by 4,568 Authors

 129 Papageorgiou, Nikolaos S. 53 Serrin, James 48 Rădulescu, Vicenţiu D. 43 Pucci, Patrizia 36 Sciunzi, Berardino 30 Farina, Alberto 30 Vetro, Calogero 27 García-Huidobro, Marta 27 Gasiński, Leszek 26 Véron, Laurent 23 Repovš, Dušan D. 23 Zhang, Zujin 22 Filippucci, Roberta 22 Rigoli, Marco 22 Vetro, Francesca 21 Gala, Sadek 21 Mitidieri, Enzo Luigi 21 Skrypnik, Igor Igorievich 21 Vazquez, Juan Luis 20 Gazzola, Filippo 20 López Camino, Rafael 19 Boccardo, Lucio 19 Liu, Qiao 18 Afrouzi, Ghasem Alizadeh 18 Dolbeault, Jean 17 Bidaut-Veron, Marie-Françoise 17 Dal Maso, Gianni 17 Montoro, Luigi 17 Peletier, Lambertus Adrianus 16 Omari, Pierpaolo 16 Peral Alonso, Ireneo 16 Porzio, Maria Michaela 16 Trudinger, Neil Sidney 16 Wei, Juncheng 16 Winkert, Patrick 16 Zhou, Yong 15 Korpusov, Maksim Olegovich 15 Marano, Salvatore Angelo 15 Messaoudi, Salim A. 15 Quaas, Alexander 15 Wang, Lihe 14 Ciraolo, Giulio 14 Felmer, Patricio L. 14 Guo, Zongming 14 Li, Congming 14 Li, Dongsheng 14 Montenegro, Marcos 14 Nguyen Thieu Huy 14 Yarur, Cecilia S. 13 García-Melián, Jorge 13 Heidarkhani, Shapour 13 Lei, Yutian 13 Miyagaki, Olimpio Hiroshi 13 Payne, Lawrence Edward 13 Poláčik, Peter 13 Valdinoci, Enrico 13 Wang, Yanqing 13 Weth, Tobias 13 Wu, Fan 13 Yang, Zuodong 12 Bonanno, Gabriele 12 Cimmelli, Vito Antonio 12 Colasuonno, Francesca 12 Dai, Wei 12 D’Ambrosio, Lorenzo 12 DiBenedetto, Emmanuele 12 Do Ó, João M. Bezerra 12 Drábek, Pavel 12 Giga, Yoshikazu 12 Huang, Xiangdi 12 Ivanov, Aleksandr Vasil’evich 12 Lewis, John L. 12 Li, Yeping 12 Li, Yi 12 Lieberman, Gary M. 12 Maz’ya, Vladimir Gilelevich 12 Pacella, Filomena 12 Rammaha, Mohammad A. 12 Reichel, Wolfgang 12 Sirakov, Boyan Slavchev 12 Squassina, Marco 12 Tan, Zhong 12 Xin, Zhouping 12 Yamazaki, Kazuo 11 Anello, Giovanni 11 Beirão da Veiga, Hugo 11 Fragalà, Ilaria 11 Galakhov, Evgeniĭ Igorevich 11 Garofalo, Nicola 11 Abreu Goncalves, Jose Valdo 11 Lorca, Sebastian Antonio 11 Magnanini, Rolando 11 Manasevich, Raul F. 11 Pinchover, Yehuda 11 Shimomura, Tetsu 11 Skalák, Zdeněk 11 Souplet, Philippe 11 Varga, Csaba György 11 Yao, Zhengan 11 Yin, Jingxue ...and 4,468 more Authors
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### Cited in 446 Serials

 382 Journal of Differential Equations 334 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 332 Journal of Mathematical Analysis and Applications 297 Archive for Rational Mechanics and Analysis 152 Calculus of Variations and Partial Differential Equations 104 Annali di Matematica Pura ed Applicata. Serie Quarta 101 Communications in Partial Differential Equations 98 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 87 Transactions of the American Mathematical Society 87 Communications on Pure and Applied Analysis 86 Journal of Functional Analysis 85 Nonlinear Analysis. Theory, Methods & Applications 83 Proceedings of the American Mathematical Society 79 Discrete and Continuous Dynamical Systems 66 Applicable Analysis 66 Journal de Mathématiques Pures et Appliquées. Neuvième Série 60 Nonlinear Analysis. Real World Applications 59 ZAMP. Zeitschrift für angewandte Mathematik und Physik 57 Journal of Mathematical Fluid Mechanics 54 Communications in Mathematical Physics 54 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 52 Mathematische Zeitschrift 51 Advanced Nonlinear Studies 51 Complex Variables and Elliptic Equations 50 NoDEA. Nonlinear Differential Equations and Applications 49 Manuscripta Mathematica 47 Journal d’Analyse Mathématique 47 Applied Mathematics Letters 46 Journal of Mathematical Physics 46 Applied Mathematics and Computation 46 Mathematische Annalen 45 Boundary Value Problems 44 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 43 Mathematical Methods in the Applied Sciences 42 Communications in Contemporary Mathematics 37 Advances in Mathematics 37 SIAM Journal on Mathematical Analysis 37 Advances in Nonlinear Analysis 32 Journal of Mathematical Sciences (New York) 31 Potential Analysis 31 Journal of Evolution Equations 29 Acta Applicandae Mathematicae 28 The Journal of Geometric Analysis 26 Duke Mathematical Journal 26 Rendiconti del Circolo Matemàtico di Palermo. Serie II 26 Comptes Rendus. Mathématique. Académie des Sciences, Paris 24 Journal of Elasticity 22 Computers & Mathematics with Applications 22 Israel Journal of Mathematics 22 Acta Mathematica 22 Applied Mathematics and Optimization 22 Journal of Soviet Mathematics 22 Rendiconti del Seminario Matematico della Università di Padova 22 Journal of Dynamics and Differential Equations 22 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 21 Science China. Mathematics 20 Meccanica 20 Mediterranean Journal of Mathematics 19 Electronic Journal of Differential Equations (EJDE) 19 Bulletin of the American Mathematical Society 19 Discrete and Continuous Dynamical Systems. Series S 18 Monatshefte für Mathematik 18 Siberian Mathematical Journal 18 Zeitschrift für Analysis und ihre Anwendungen 18 Continuum Mechanics and Thermodynamics 17 Journal of Fluid Mechanics 17 Archiv der Mathematik 17 Mathematische Nachrichten 17 Results in Mathematics 17 Acta Mathematica Sinica. English Series 16 Acta Mechanica 16 Mathematical Notes 16 Acta Mathematica Scientia. Series B. (English Edition) 16 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 16 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 15 International Journal of Engineering Science 15 Physica D 15 Milan Journal of Mathematics 14 Inventiones Mathematicae 14 Journal of Computational and Applied Mathematics 14 Revista Matemática Iberoamericana 14 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 14 Abstract and Applied Analysis 13 Nonlinearity 13 Journal of Optimization Theory and Applications 13 Tôhoku Mathematical Journal. Second Series 12 Arkiv för Matematik 11 Bulletin of the Australian Mathematical Society 11 Annales de l’Institut Fourier 11 Indiana University Mathematics Journal 11 Revista Matemática Complutense 11 Discrete and Continuous Dynamical Systems. Series B 11 Analysis and Mathematical Physics 11 Journal of Elliptic and Parabolic Equations 10 Journal of Computational Physics 10 Chinese Annals of Mathematics. Series B 10 Annals of Global Analysis and Geometry 10 Applications of Mathematics 10 Journal of Nonlinear Science 10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI ...and 346 more Serials
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### Cited in 52 Fields

 4,293 Partial differential equations (35-XX) 999 Fluid mechanics (76-XX) 446 Calculus of variations and optimal control; optimization (49-XX) 357 Global analysis, analysis on manifolds (58-XX) 326 Differential geometry (53-XX) 294 Ordinary differential equations (34-XX) 242 Mechanics of deformable solids (74-XX) 197 Functional analysis (46-XX) 183 Operator theory (47-XX) 181 Potential theory (31-XX) 123 Real functions (26-XX) 98 Numerical analysis (65-XX) 95 Integral equations (45-XX) 82 Classical thermodynamics, heat transfer (80-XX) 73 Probability theory and stochastic processes (60-XX) 69 Dynamical systems and ergodic theory (37-XX) 50 Functions of a complex variable (30-XX) 41 Harmonic analysis on Euclidean spaces (42-XX) 40 Statistical mechanics, structure of matter (82-XX) 39 Measure and integration (28-XX) 38 Biology and other natural sciences (92-XX) 34 Systems theory; control (93-XX) 33 Quantum theory (81-XX) 24 Optics, electromagnetic theory (78-XX) 23 Approximations and expansions (41-XX) 22 Convex and discrete geometry (52-XX) 21 Difference and functional equations (39-XX) 21 Mechanics of particles and systems (70-XX) 19 Geophysics (86-XX) 15 Relativity and gravitational theory (83-XX) 12 Several complex variables and analytic spaces (32-XX) 11 History and biography (01-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Information and communication theory, circuits (94-XX) 10 General topology (54-XX) 9 Operations research, mathematical programming (90-XX) 8 Manifolds and cell complexes (57-XX) 8 Computer science (68-XX) 7 Topological groups, Lie groups (22-XX) 6 Special functions (33-XX) 6 Astronomy and astrophysics (85-XX) 5 General and overarching topics; collections (00-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Abstract harmonic analysis (43-XX) 4 Integral transforms, operational calculus (44-XX) 2 Algebraic geometry (14-XX) 2 Geometry (51-XX) 2 Statistics (62-XX) 1 General algebraic systems (08-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX)

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