Edit Profile (opens in new tab) Serrin, James Compute Distance To: Compute 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 all top 5 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0222.31007Serrin, James 611 1971 Local behavior of solutions of quasi-linear equations. Zbl 0128.09101Serrin, J. 543 1964 On the interior regularity of weak solutions of the Navier-Stokes equations. Zbl 0106.18302Serrin, James 456 1962 The maximum principle. Zbl 1134.35001Pucci, Patrizia; Serrin, James 355 2007 The problem of Dirichlet for quasilinear elliptic differential equations with many independent variables. Zbl 0181.38003Serrin, J. 232 1969 A general variational identity. Zbl 0625.35027Pucci, Patrizia; Serrin, James 225 1986 On the thermomechanics of interstitial working. Zbl 0582.73004Dunn, J. E.; Serrin, J. 200 1985 Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities. Zbl 1059.35040Serrin, James; Zou, Henghui 165 2002 Local behavior of solutions of quasilinear parabolic equations. Zbl 0154.12001Aronson, D. G.; Serrin, J. 163 1967 Pathological solutions of elliptic differential equations. Zbl 0142.37601Serrin, J. 149 1964 Global nonexistence theorems for quasilinear evolution equations with dissipation. Zbl 0886.35096Levine, Howard A.; Serrin, James 147 1997 The initial value problem for the Navier-Stokes equations. Zbl 0115.08502Serrin, James 145 1963 Non-existence of positive solutions of Lane-Emden systems. Zbl 0868.35032Serrin, James; Zou, Henghui 141 1996 Isolated singularities of solutions of quasi-linear equations. Zbl 0173.39202Serrin, J. 128 1965 A mountain pass theorem. Zbl 0585.58006Pucci, Patrizia; Serrin, James 127 1985 The strong maximum principle revisited. Zbl 1109.35022Pucci, Patrizia; Serrin, James 121 2004 Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \({\mathbb{R}}^ n\). Zbl 0667.35023McLeod, Kevin; Serrin, James 118 1987 Sublinear functions of measures and variational integrals. Zbl 0123.09804Goffman, Casper; Serrin, James 118 1964 Uniqueness of ground states for quasilinear elliptic equations. Zbl 0979.35049Serrin, James; Tang, Moxun 114 2000 On isolated singularities of solutions of second order elliptic differential equations. Zbl 0071.09701Gilbarg, D.; Serrin, James 107 1956 On the uniqueness of compressible fluid motions. Zbl 0089.19103Serrin, James 104 1959 Existence and uniqueness of nonnegative solutions of quasilinear equations in \(\mathbb{R}^ n\). Zbl 0853.35035Franchi, Bruno; Lanconelli, Ermanno; Serrin, James 104 1996 On the stability of viscous fluid motions. Zbl 0086.20001Serrin, James 100 1959 Uniqueness of positive solutions of semilinear equations in \(R^ n\). Zbl 0516.35031Peletier, L. A.; Serrin, J. 94 1983 Global existence and global nonexistence of solutions of the Cauchy problem for a nonlinearly damped wave equation. Zbl 0922.35094Levine, Howard A.; Park, Sang Ro; Serrin, James 85 1998 Existence of positive solutions of the Lane-Emden system. Zbl 0917.35031Serrin, James; Zou, Henghui 77 1998 Nonexistence theorems for singular solutions of quasilinear partial differential equations. Zbl 0602.35031Ni, Wei-Ming; Serrin, James 77 1986 On the definition and properties of certain variational integrals. Zbl 0102.04601Serrin, James 77 1961 Critical exponents and critical dimensions of polyharmonic operators. Zbl 0717.35032Pucci, Patrizia; Serrin, James 71 1990 The Dirichlet problem for the minimal surface equation in higher dimensions. Zbl 0159.40204Jenkins, Howard; Serrin, James 69 1968 A note on the existence of periodic solutions of the Navier-Stokes equations. Zbl 0089.19102Serrin, James 67 1959 Global nonexistence for abstract evolution equations with positive initial energy. Zbl 0915.35012Pucci, Patrizia; Serrin, James 66 1998 Symmetry of ground states of quasilinear elliptic equations. Zbl 0940.35079Serrin, James; Zou, Henghui 61 1999 Non-existence theorems for quasilinear partial differential equations. Zbl 0625.35028Ni, Wei-Ming; Serrin, James 60 1985 Extensions of the mountain pass theorem. Zbl 0564.58012Pucci, Patrizia; Serrin, James 57 1984 Uniqueness of non-negative solutions of semilinear equations in \({\mathbb{R}}^ n\). Zbl 0577.35035Peletier, L. A.; Serrin, James 57 1986 A strong maximum principle and a compact support principle for singular elliptic inequalities. Zbl 0952.35045Pucci, Patrizia; Serrin, James; Zou, Henghui 51 1999 On the Harnack inequality for linear elliptic equations. Zbl 0070.32302Serrin, James 51 1956 \(H = W\). Zbl 0123.30501Meyers, Norman G.; Serrin, James 51 1964 Precise damping conditions for global asymptotic stability for nonlinear second order systems. Zbl 0797.34059Pucci, Patrizia; Serrin, James 50 1993 The exterior Dirichlet problem for second order elliptic partial differential equations. Zbl 0094.29701Meyers, Norman; Serrin, James 49 1960 Asymptotic stability for nonautonomous dissipative wave systems. Zbl 0865.35089Pucci, Patrizia; Serrin, James 45 1996 Variational problems of minimal surface type. II: Boundary value problems for the minimal surface equation. Zbl 0171.08301Jenkins, Howard; Serrin, James 44 1966 A general chain rule for derivatices and the change of variables formula for the Lebesgue integral. Zbl 0175.34401Serrin, J.; Varberg, D. 41 1969 Uniqueness of ground states for quasilinear elliptic operators. Zbl 0920.35054Pucci, Patrizia; Serrin, James 37 1998 Existence of ground states and free boundary problems for quasilinear elliptic operators. Zbl 0987.35064Gazzola, Filippo; Serrin, James; Tang, Moxun 36 2000 Existence for a nonlinear wave equation with damping and source terms. Zbl 1036.35146Serrin, James; Todorova, Grozdena; Vitillaro, Enzo 34 2003 Existence of positive entire solutions of elliptic Hamiltonian systems. Zbl 0906.35033Serrin, James; Zou, Henghui 34 1998 Some remarks on global nonexistence for nonautonomous abstract evolution equations. Zbl 0882.35081Levine, Howard A.; Pucci, Patrizia; Serrin, James 33 1997 Removable singularities of solutions of elliptic equations. Zbl 0135.15601Serrin, J. 33 1964 The existence of similar solutions for some laminar boundary layer problems. Zbl 0169.28305McLeod, J. B.; Serrin, J. 32 1968 Uniqueness of solutions of semilinear Poisson equations. Zbl 0474.35047McLeod, Kevin; Serrin, James 31 1981 Asymptotic stability for intermittently controlled nonlinear oscillators. Zbl 0809.34067Pucci, Patrizia; Serrin, James 30 1994 Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form. Zbl 0222.35017Douglas, Jim jun.; Dupont, Todd; Serrin, James 30 1971 Global existence and nonexistence theorems for quasilinear evolution equations of formally parabolic type. Zbl 0891.35062Levine, Howard A.; Park, Sang Ro; Serrin, James 30 1998 A note on the strong maximum principle for elliptic differential inequalities. Zbl 0952.35163Pucci, Patrizia; Serrin, James 29 2000 On the differentiability of functions of several variables. Zbl 0109.03904Serrin, J. 29 1961 Gradient estimates for solutions of nonlinear elliptic and parabolic equations. Zbl 0271.35004Serrin, James 28 1971 On the strong maximum principle for quasilinear second order differential inequalities. Zbl 0188.41701Serrin, J. 28 1970 On the Hölder continuity of quasi-conformal and elliptic mappings. Zbl 0082.29401Finn, Robert; Serrin, James 26 1958 Removable singularities of solutions of elliptic equations. II. Zbl 0156.33801Serrin, J. 26 1965 Entire solutions of completely coercive quasilinear elliptic equations. Zbl 1225.35097Farina, Alberto; Serrin, James 26 2011 Local asymptotic stability for dissipative wave systems. Zbl 0924.35085Pucci, Patrizia; Serrin, James 25 1998 Isolated singularities of solutions of linear elliptic equations. Zbl 0137.07001Serrin, J.; Weinberger, H. F. 25 1966 Ground states for the prescribed mean curvature equation. Zbl 0632.35004Peletier, L. A.; Serrin, J. 25 1987 Non-existence of positive solutions of semilinear elliptic systems. Zbl 0900.35121Serrin, James; Zou, Henghui 25 1994 Rectilinear steady flow of simple fluids. Zbl 0261.76001Fosdick, R. L.; Serrin, J. 24 1973 Qualitative properties of ground states for singular elliptic equations with weights. Zbl 1115.35050Pucci, Patrizia; García-Huidobro, Marta; Manásevich, Raúl; Serrin, James 24 2006 Entire solutions of completely coercive quasilinear elliptic equations. II. Zbl 1225.35098Farina, Alberto; Serrin, James 24 2011 Entire solutions of nonlinear Poisson equations. Zbl 0229.35035Serrin, James 23 1972 The swirling vortex. Zbl 0254.76029Serrin, J. 23 1972 On surfaces of constant mean curvature which span a given space curve. Zbl 0182.24001Serrin, J. 23 1969 Asymptotic behaviour of velocity profiles in the Prandtl boundary layer theory. Zbl 0149.44901Serrin, J. 22 1967 Precise damping conditions for global asymptotic stability for nonlinear second order systems. II. Zbl 0814.34033Pucci, Patrizia; Serrin, James 21 1994 Continuation and limit properties for solutions of strongly nonlinear second order differential equations. Zbl 0733.34042Pucci, Patrizia; Serrin, James 21 1991 The dirichlet problem for surfaces of constant mean curvature. Zbl 0199.16604Serrin, James 20 1970 Maximum principles for elliptic partial differential equations. Zbl 1193.35024Pucci, Patrizia; Serrin, James 19 2007 Variational problems of minimal surface type. I. Zbl 0122.39602Jenkins, Howard; Serrin, James 19 1963 A Harnack inequality for nonlinear equations. Zbl 0137.06902Serrin, J. 19 1963 On the Phragmén-Lindelöf principle for elliptic differential equations. Zbl 0055.32802Serrin, J. B. 19 1954 A remark on the preceding paper of Amann. Zbl 0225.35042Serrin, James 17 1972 Existence and non-existence results for ground states of quasilinear elliptic equations. Zbl 0795.35027Serrin, James; Zou, Henghui 16 1992 The structure of the critical set in the mountain pass theorem. Zbl 0611.58019Pucci, Patrizia; Serrin, James 16 1987 Global properties of continuum thermodynamic processes. Zbl 0332.73004Fosdick, Roger L.; Serrin, James 15 1975 A new definition of the integral for non-parametric problems in the calculus of variations. Zbl 0089.08601Serrin, James 15 1959 Dead cores and bursts for quasilinear singular elliptic equations. Zbl 1170.35376Pucci, Patrizia; Serrin, James 15 2006 A remark on the Morrey potential. Zbl 1129.31003Serrin, James 13 2007 Uniqueness of ground states for quasilinear elliptic equations in the exponential case. Zbl 0920.35055Pucci, Patrizia; Serrin, James 13 1998 A priori estimates for solutions of the minimal surface equation. Zbl 0117.07304Serrin, J. 13 1963 Qualitative properties for solutions of singular elliptic inequalities on complete manifolds. Zbl 1143.35099Pucci, Patrizia; Rigoli, Marco; Serrin, James 13 2007 On the impossibility of linear Cauchy and Piola-Kirchhoff constitutive theories for stress in solids. Zbl 0399.73007Fosdick, R. L.; Serrin, J. 13 1979 Entire solutions of quasilinear elliptic equations. Zbl 1180.35243Serrin, James 12 2009 Classification of positive solutions of quasilinear elliptic equations. Zbl 0813.35019Serrin, James; Zou, Henghui 12 1994 Ground states for the prescribed mean curvature equation: The supercritical case. Zbl 0665.35030Atkinson, F. V.; Peletier, L. A.; Serrin, J. 12 1988 Asymptotic stability for nonlinear parabolic systems. Zbl 0874.35056Pucci, Patrizia; Serrin, James 12 1996 Gradient bounds and Liouville theorems for quasilinear elliptic equations. Zbl 0383.35025Peletier, L. A.; Serrin, J. 12 1978 The derivation of stress-deformation relations for a Stokesian fluid. Zbl 0089.18601Serrin, James 11 1959 Some new results on global nonexistence for abstract evolution with positive initial energy. Zbl 0911.35035Pucci, Patrizia; Serrin, James 10 1997 Ground states and free boundary value problem for the \(n\)-Laplacian in \(n\) dimensional space. Zbl 0996.35019García-Huidobro, Marta; Manásevich, Raúl; Serrin, James; Tang, Moxun; Yarur, Cecilia S. 10 2000 A remark on entire solutions of quasilinear elliptic equations. Zbl 1214.35028Pucci, Patrizia; Serrin, James 10 2011 The splitting of intrinsic energy and the origin of mass density in continuum mechanics. Zbl 1341.74018Fosdick, Roger; Serrin, James 1 2014 Comparison principles, uniqueness and symmetry results of solutions of quasilinear elliptic equations and inequalities. Zbl 1287.35033D’Ambrosio, Lorenzo; Farina, Alberto; Mitidieri, Enzo; Serrin, James 7 2013 Entire solutions of completely coercive quasilinear elliptic equations. Zbl 1225.35097Farina, Alberto; Serrin, James 26 2011 Entire solutions of completely coercive quasilinear elliptic equations. II. Zbl 1225.35098Farina, Alberto; Serrin, James 24 2011 A remark on entire solutions of quasilinear elliptic equations. Zbl 1214.35028Pucci, Patrizia; Serrin, James 10 2011 The Liouville theorem for homogeneous elliptic differential inequalities. Zbl 1291.35084Serrin, J. 5 2011 Weakly subharmonic function. Zbl 1236.31006Serrin, James 1 2011 Entire solutions of quasilinear elliptic equations. Zbl 1180.35243Serrin, James 12 2009 The area rule for simple fluid phase transitions. Zbl 1141.80002Serrin, James 5 2008 The maximum principle. Zbl 1134.35001Pucci, Patrizia; Serrin, James 355 2007 Maximum principles for elliptic partial differential equations. Zbl 1193.35024Pucci, Patrizia; Serrin, James 19 2007 A remark on the Morrey potential. Zbl 1129.31003Serrin, James 13 2007 Qualitative properties for solutions of singular elliptic inequalities on complete manifolds. Zbl 1143.35099Pucci, Patrizia; Rigoli, Marco; Serrin, James 13 2007 Partial and full symmetry of solutions of quasilinear elliptic equations, via the comparison principle. Zbl 1200.35125Pucci, Patrizia; Sciunzi, Berardino; Serrin, James 4 2007 Qualitative properties of ground states for singular elliptic equations with weights. Zbl 1115.35050Pucci, Patrizia; García-Huidobro, Marta; Manásevich, Raúl; Serrin, James 24 2006 Dead cores and bursts for quasilinear singular elliptic equations. Zbl 1170.35376Pucci, Patrizia; Serrin, James 15 2006 A maximum principle for mean-curvature type elliptic inequalities. Zbl 1245.35054Serrin, James 2 2006 Elliptic equations and products of positive definite matrices. Zbl 1330.35094Conley, Charles H.; Pucci, Patrizia; Serrin, James 2 2005 The strong maximum principle revisited. Zbl 1109.35022Pucci, Patrizia; Serrin, James 121 2004 Existence for a nonlinear wave equation with damping and source terms. Zbl 1036.35146Serrin, James; Todorova, Grozdena; Vitillaro, Enzo 34 2003 Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. II. Zbl 1086.35041Gazzola, Filippo; Peletier, Bert; Pucci, Patrizia; Serrin, James 4 2003 Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities. Zbl 1059.35040Serrin, James; Zou, Henghui 165 2002 Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. Zbl 1013.35031Gazzola, Filippo; Serrin, James 6 2002 Selected works of Eberhard Hopf. With commentaries. Edited by Cathleen S. Morawetz, James B. Serrin and Yakov G. Sinai. Zbl 1011.01017Hopf, Eberhard 3 2002 The Harnack inequality in \(\mathbb R^2\) for quasilinear elliptic equations. Zbl 1011.35055Pucci, P.; Serrin, J. 6 2001 Uniqueness of ground states for quasilinear elliptic equations. Zbl 0979.35049Serrin, James; Tang, Moxun 114 2000 Existence of ground states and free boundary problems for quasilinear elliptic operators. Zbl 0987.35064Gazzola, Filippo; Serrin, James; Tang, Moxun 36 2000 A note on the strong maximum principle for elliptic differential inequalities. Zbl 0952.35163Pucci, Patrizia; Serrin, James 29 2000 Ground states and free boundary value problem for the \(n\)-Laplacian in \(n\) dimensional space. Zbl 0996.35019García-Huidobro, Marta; Manásevich, Raúl; Serrin, James; Tang, Moxun; Yarur, Cecilia S. 10 2000 Symmetry of ground states of quasilinear elliptic equations. Zbl 0940.35079Serrin, James; Zou, Henghui 61 1999 A strong maximum principle and a compact support principle for singular elliptic inequalities. Zbl 0952.35045Pucci, Patrizia; Serrin, James; Zou, Henghui 51 1999 A strong maximum principle and a compact support principle for singular elliptic inequalities. Zbl 0945.35032Pucci, Patrizia; Serrin, James; Zou, Henghui 3 1999 Global existence and global nonexistence of solutions of the Cauchy problem for a nonlinearly damped wave equation. Zbl 0922.35094Levine, Howard A.; Park, Sang Ro; Serrin, James 85 1998 Existence of positive solutions of the Lane-Emden system. Zbl 0917.35031Serrin, James; Zou, Henghui 77 1998 Global nonexistence for abstract evolution equations with positive initial energy. Zbl 0915.35012Pucci, Patrizia; Serrin, James 66 1998 Uniqueness of ground states for quasilinear elliptic operators. Zbl 0920.35054Pucci, Patrizia; Serrin, James 37 1998 Existence of positive entire solutions of elliptic Hamiltonian systems. Zbl 0906.35033Serrin, James; Zou, Henghui 34 1998 Global existence and nonexistence theorems for quasilinear evolution equations of formally parabolic type. Zbl 0891.35062Levine, Howard A.; Park, Sang Ro; Serrin, James 30 1998 Local asymptotic stability for dissipative wave systems. Zbl 0924.35085Pucci, Patrizia; Serrin, James 25 1998 Uniqueness of ground states for quasilinear elliptic equations in the exponential case. Zbl 0920.35055Pucci, Patrizia; Serrin, James 13 1998 Stability and blow-up for dissipative evolution equations. Zbl 0886.35027Pucci, Patrizia; Serrin, James 1 1998 Global nonexistence theorems for quasilinear evolution equations with dissipation. Zbl 0886.35096Levine, Howard A.; Serrin, James 147 1997 Some remarks on global nonexistence for nonautonomous abstract evolution equations. Zbl 0882.35081Levine, Howard A.; Pucci, Patrizia; Serrin, James 33 1997 Some new results on global nonexistence for abstract evolution with positive initial energy. Zbl 0911.35035Pucci, Patrizia; Serrin, James 10 1997 Non-existence of positive solutions of Lane-Emden systems. Zbl 0868.35032Serrin, James; Zou, Henghui 141 1996 Existence and uniqueness of nonnegative solutions of quasilinear equations in \(\mathbb{R}^ n\). Zbl 0853.35035Franchi, Bruno; Lanconelli, Ermanno; Serrin, James 104 1996 Asymptotic stability for nonautonomous dissipative wave systems. Zbl 0865.35089Pucci, Patrizia; Serrin, James 45 1996 Asymptotic stability for nonlinear parabolic systems. Zbl 0874.35056Pucci, Patrizia; Serrin, James 12 1996 The equations of continuum mechanics and the laws of thermodynamics. Zbl 0884.73006Serrin, James 6 1996 Stability for abstract evolution equations. Zbl 0879.47027Pucci, P.; Serrin, James 3 1996 Asymptotic stability for ordinary differential systems with time-dependent restoring potentials. Zbl 0861.34034Pucci, Patrizia; Serrin, James 6 1995 Remarks on Lyapunov stability. Zbl 0844.34055Pucci, Patrizia; Serrin, James 1 1995 Asymptotic stability for intermittently controlled nonlinear oscillators. Zbl 0809.34067Pucci, Patrizia; Serrin, James 30 1994 Non-existence of positive solutions of semilinear elliptic systems. Zbl 0900.35121Serrin, James; Zou, Henghui 25 1994 Precise damping conditions for global asymptotic stability for nonlinear second order systems. II. Zbl 0814.34033Pucci, Patrizia; Serrin, James 21 1994 Classification of positive solutions of quasilinear elliptic equations. Zbl 0813.35019Serrin, James; Zou, Henghui 12 1994 On the derivation of Hamilton’s equations. Zbl 0809.70012Pucci, Patrizia; Serrin, James 9 1994 A bifurcation problem at a singular limit. Zbl 0810.35004Merle, F.; Peletier, L. A.; Serrin, J. 5 1994 Asymptotic integration of second order systems. Zbl 0815.34038Serrin, James; Zou, Henghui 4 1994 Precise damping conditions for global asymptotic stability for nonlinear second order systems. Zbl 0797.34059Pucci, Patrizia; Serrin, James 50 1993 Continuation and limit behavior for damped quasi-variational systems. Zbl 0796.34023Pucci, Patrizia; Serrin, James 6 1993 Asymptotic behavior of solutions of a nonstandard second order differential equation. Zbl 0780.34038Harris, William A. jun.; Pucci, Patrizia; Serrin, James 3 1993 Existence and non-existence results for ground states of quasilinear elliptic equations. Zbl 0795.35027Serrin, James; Zou, Henghui 16 1992 Estimates for vertical points of solutions of prescribed mean curvature type equations. II. Zbl 0755.35012Atkinson, F. V.; Peletier, L. A.; Serrin, J. 3 1992 Global asymptotic stability for strongly nonlinear second order systems. Zbl 0768.49023Pucci, Patrizia; Serrin, James 2 1992 Continuation and limit properties for solutions of strongly nonlinear second order differential equations. Zbl 0733.34042Pucci, Patrizia; Serrin, James 21 1991 Critical exponents and critical dimensions of polyharmonic operators. Zbl 0717.35032Pucci, Patrizia; Serrin, James 71 1990 Asymptotic properties for solutions of strongly nonlinear second order differential equations. Zbl 0717.34056Pucci, Patrizia; Serrin, James 1 1989 Ground states for the prescribed mean curvature equation: The supercritical case. Zbl 0665.35030Atkinson, F. V.; Peletier, L. A.; Serrin, J. 12 1988 Positive solutions of a prescribed mean curvature problem. Zbl 0673.35026Serrin, James 7 1988 Remarks on the first eigenspace for polyharmonic operators. Zbl 0664.35063Pucci, Patrizia; Serrin, James 5 1988 Existence and uniqueness of ground state solutions of quasilinear elliptic equations. Zbl 0665.35022Franchi, Bruno; Lanconelli, Ermanno; Serrin, James 2 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 1 1988 Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \({\mathbb{R}}^ n\). Zbl 0667.35023McLeod, Kevin; Serrin, James 118 1987 Ground states for the prescribed mean curvature equation. Zbl 0632.35004Peletier, L. A.; Serrin, J. 25 1987 The structure of the critical set in the mountain pass theorem. Zbl 0611.58019Pucci, Patrizia; Serrin, James 16 1987 A general variational identity. Zbl 0625.35027Pucci, Patrizia; Serrin, James 225 1986 Nonexistence theorems for singular solutions of quasilinear partial differential equations. Zbl 0602.35031Ni, Wei-Ming; Serrin, James 77 1986 Uniqueness of non-negative solutions of semilinear equations in \({\mathbb{R}}^ n\). Zbl 0577.35035Peletier, L. A.; Serrin, James 57 1986 An outline of thermodynamical structure. Zbl 0612.73002Serrin, J. 9 1986 Dynamic changes of phase in a van der Waals fluid. Zbl 0613.76074Hagan, R.; Serrin, J. 3 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 1 1986 On the thermomechanics of interstitial working. Zbl 0582.73004Dunn, J. E.; Serrin, J. 200 1985 A mountain pass theorem. Zbl 0585.58006Pucci, Patrizia; Serrin, James 127 1985 Non-existence theorems for quasilinear partial differential equations. Zbl 0625.35028Ni, Wei-Ming; Serrin, James 60 1985 Existence and uniqueness of ground states of quasilinear elliptic equations. Zbl 0647.35025Franchi, Bruno; Lanconelli, Ermanno; Serrin, James 1 1985 Extensions of the mountain pass theorem. Zbl 0564.58012Pucci, Patrizia; Serrin, James 57 1984 One-dimensional shock layers in Korteweg fluids. Zbl 0574.76063Hagan, R.; Serrin, J. 1 1984 The structure and laws of thermodynamics. Zbl 0576.01007Serrin, James 1 1984 Uniqueness of positive solutions of semilinear equations in \(R^ n\). Zbl 0516.35031Peletier, L. A.; Serrin, J. 94 1983 The form of interfacial surfaces in Korteweg’s theory of phase equilibria. Zbl 0533.76099Serrin, James 6 1983 Uniqueness of solutions of semilinear Poisson equations. Zbl 0474.35047McLeod, Kevin; Serrin, James 31 1981 The second law of thermodynamics for systems with approximate cycles. Zbl 0474.73002Coleman, Bernard D.; Owen, David R.; Serrin, James 10 1981 Phase transitions and interfacial layers for van der Waals fluids. Zbl 0617.76121Serrin, James 9 1981 On the impossibility of linear Cauchy and Piola-Kirchhoff constitutive theories for stress in solids. Zbl 0399.73007Fosdick, R. L.; Serrin, J. 13 1979 Gradient bounds and Liouville theorems for quasilinear elliptic equations. Zbl 0383.35025Peletier, L. A.; Serrin, J. 12 1978 The concepts of thermodynamics. Zbl 0433.73003Serrin, James 2 1978 Optimal shapes for brittle beams under torsion. Zbl 0425.73046Weinberger, H. F.; Serrin, J. B. 1 1978 Liouville theorems and gradient bounds for quasilinear elliptic systems. Zbl 0368.35034Serrin, James 10 1977 Curvature inequalities for surfaces over a disk. Zbl 0327.53002Serrin, James; Weinberger, Hans F. 1 1976 ...and 66 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.