Edit Profile (opens in new tab) Weinberger, Hans Felix Compute Distance To: Compute Author ID: weinberger.hans-f Published as: Weinberger, H. F.; Weinberger, Hans F.; Weinberger, Hans; Weinberger, H.; Weinberger, Hans W. Further Spellings: Вайнбергер Ганс Ф External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 119 Publications since 1952, including 5 Books 3 Contributions as Editor Biographic References: 1 Publication Co-Authors: 39 Co-Authors with 61 Joint Publications 1,418 Co-Co-Authors all top 5 Co-Authors 60 single-authored 12 Payne, Lawrence Edward 5 Aronson, Donald G. 5 Lewis, Mark Alun 5 Li, Bingtuan 5 Protter, Murray H. 5 Serrin, James 3 Gilbarg, David 3 Kawasaki, Kohkichi 3 Ninomiya, Hirokazu 3 Shigesada, Nanako 2 Duffin, Richard James 2 Levine, Howard Allen 2 Pólya, George 2 Sattinger, David H. 2 Schneider, Hans 1 Acrivos, Andreas 1 Cesari, Lamberto 1 Conley, Elizabeth 1 Davis, Chandler 1 Diaz, Joaquin Basilio 1 Farina, Alberto 1 Fosdick, Roger L. 1 Freidlin, Mark I. 1 Friedman, Avner 1 Golomb, Michael 1 Hershkowitz, Daniel 1 Huang, Wenchao 1 Hurwicz, Leonid 1 Kahan, William Morton 1 Kannan, Rangachary 1 Keller, Joseph Bishop 1 Kishimoto, Kazuo 1 Leoni, Giovanni 1 Littman, Walter 1 Markus, Lawrence 1 McLeod, John Bryce 1 McLeod, Kevin 1 Meyers, Norman 1 Nir, Avinoam 1 Peletier, Lambertus Adrianus 1 Pucci, Patrizia 1 Rădulescu, Vicenţiu D. 1 Rosenblat, S. 1 Royer-Carfagni, Gianni F. 1 Sell, George Roger 1 Stack, Martha 1 Stampacchia, Guido 1 Sucha, Janet 1 Tesei, Alberto 1 Vazquez, Juan Luis 1 Zhao, Xiao-Qiang all top 5 Serials 10 Journal of Mathematical Biology 5 Archive for Rational Mechanics and Analysis 4 Pacific Journal of Mathematics 4 Journal of Mathematics and Physics 3 Journal of Differential Equations 2 Applicable Analysis 2 Communications on Pure and Applied Mathematics 2 Journal of Fluid Mechanics 2 Journal of Mathematical Analysis and Applications 2 Duke Mathematical Journal 2 Meccanica 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Numerical Analysis 2 Linear Algebra and its Applications 2 Proceedings of the National Academy of Sciences of the United States of America 2 Bulletin of the American Mathematical Society 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 2 Journal of the Society for Industrial & Applied Mathematics 2 Journal of Research of the National Bureau of Standards 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Russian Mathematical Surveys 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 The Mathematical Intelligencer 1 Acta Mathematica 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Indiana University Mathematics Journal 1 Journal of Economic Theory 1 Quarterly of Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 SIAM Journal on Matrix Analysis and Applications 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Notices of the American Mathematical Society 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 Nova Journal of Mathematics, Game Theory, and Algebra 1 Annals of Mathematics. Second Series 1 Discrete and Continuous Dynamical Systems. Series B 1 Mathematical Biosciences and Engineering 1 Rendiconti di Matematica, VI. Serie 1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Translations. Series 2. American Mathematical Society 1 Journal of Rational Mechanics and Analysis 1 Evolution Equations and Control Theory 1 Contemporary Mathematicians all top 5 Fields 40 Partial differential equations (35-XX) 23 Biology and other natural sciences (92-XX) 11 Mechanics of deformable solids (74-XX) 8 Fluid mechanics (76-XX) 7 Ordinary differential equations (34-XX) 4 Difference and functional equations (39-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 4 Numerical analysis (65-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 99 Publications have been cited 6,393 times in 5,008 Documents Cited by ▼ Year ▼ Maximum-principles in differential equations. Zbl 0153.13602Protter, Murray H.; Weinberger, Hans F. 1,291 1967 Multidimensional nonlinear diffusion arising in population genetics. Zbl 0407.92014Aronson, D. G.; Weinberger, H. F. 768 1978 Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation. Zbl 0325.35050Aronson, D. G.; Weinberger, H. F. 481 1975 Maximum principles in differential equations. Corr. reprint. Zbl 0549.35002Protter, Murray H.; Weinberger, Hans F. 459 1984 Long-time behavior of a class of biological models. Zbl 0529.92010Weinberger, H. F. 298 1982 Regular points for elliptic equations with discontinuous coefficients. Zbl 0116.30302Littman, W.; Stampacchia, G.; Weinberger, H. F. 277 1963 An optimal Poincaré inequality for convex domains. Zbl 0099.08402Payne, L. E.; Weinberger, H. F. 251 1960 On spreading speeds and traveling waves for growth and migration models in a periodic habitat. Zbl 1058.92036Weinberger, Hans F. 225 2002 Analysis of linear determinacy for spread in cooperative models. Zbl 1023.92040Weinberger, Hans F.; Lewis, Mark A.; Li, Bingtuan 176 2002 Spreading speed and linear determinacy for two-species competition models. Zbl 1032.92031Lewis, Mark A.; Li, Bingtuan; Weinberger, Hans F. 147 2002 Spreading speeds as slowest wave speeds for cooperative systems. Zbl 1075.92043Li, Bingtuan; Weinberger, Hans F.; Lewis, Mark A. 143 2005 Remark on the preceding paper of Serrin. Zbl 0222.31008Weinberger, H. F. 122 1971 On the ratio of consecutive eigenvalues. Zbl 0073.08203Payne, Laurent E.; Pólya, George; Weinberger, Hans F. 120 1956 A first course in partial differential equations with complex variables and transform methods. Zbl 0127.04805Weinberger, H. F. 95 1965 The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains. Zbl 0599.35080Kishimoto, Kazuo; Weinberger, Hans F. 93 1985 Variational methods for eigenvalue approximation. Zbl 0296.49033Weinberger, Hans F. 93 1974 Invariant sets for weakly coupled parabolic and elliptic systems. Zbl 0312.35043Weinberger, Hans F. 89 1975 Norm-preserving dilations and their applications to optimal error bounds. Zbl 0491.47003Davis, Chandler; Kahan, W. M.; Weinberger, H. F. 86 1982 Spatial patterning of the spruce budworm. Zbl 0412.92020Ludwig, D.; Aronson, D. G.; Weinberger, H. F. 85 1979 An isoperimetric inequality for the \(n\)-dimensional free membrane problem. Zbl 0071.09902Weinberger, H. F. 81 1956 Asymptotic properties of steady plane solutions of the Navier-Stokes equations with bounded Dirichlet integral. Zbl 0381.35067Gilbarg, D.; Weinberger, H. F. 68 1978 Existence of traveling waves for integral recursions with nonmonotone growth functions. Zbl 1162.92030Li, Bingtuan; Lewis, Mark A.; Weinberger, Hans F. 65 2009 New bounds for solutions of second order elliptic partial differential equations. Zbl 0093.10901Payne, L. E.; Weinberger, H. F. 54 1958 On the spectrum of general second order operators. Zbl 0141.09901Protter, M. H.; Weinberger, H. F. 53 1966 Anomalous spreading speeds of cooperative recursion systems. Zbl 1125.92062Weinberger, Hans F.; Lewis, Mark A.; Li, Bingtuan 37 2007 Optimal approximation and error bounds. Zbl 0092.05802Golomb, Michael; Weinberger, Hans F. 36 1959 Some isoperimetric inequalities for membrane frequencies and torsional rigidity. Zbl 0098.39201Payne, L. E.; Weinberger, H. F. 36 1961 On Korn’s inequality. Zbl 0107.31105Payne, L. E.; Weinberger, H. F. 32 1961 Sur le quotient de deux fréquences propres consécutives. Zbl 0065.08801Payne, Laurent E.; Pólya, George; Weinberger, Hans F. 31 1955 Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions. Zbl 1141.92041Weinberger, Hans F.; Kawasaki, Kohkichi; Shigesada, Nanako 30 2008 Lower bounds for vibration frequencies of elastically supportes membranes and plates. Zbl 0083.19406Payne, L. E.; Weinberger, H. F. 30 1957 Asymptotic properties of Leray’s solution of the stationary two- dimensional Navier-Stokes equations. Zbl 0304.35071Gilbarg, D.; Weinberger, H. F. 29 1974 Symmetrization in uniformly elliptic problems. Zbl 0123.07202Weinberger, H. F. 28 1962 Lower bounds for higher eigenvalues by finite difference methods. Zbl 0084.34802Weinberger, H. F. 27 1958 Asymptotic behavior of a model in population genetics. Zbl 0383.35034Weinberger, H. F. 26 1978 Isolated singularities of solutions of linear elliptic equations. Zbl 0137.07001Serrin, J.; Weinberger, H. F. 25 1966 A solution of the singular initial value problem for the Euler-Poisson- Darboux equation. Zbl 0052.32401Diaz, J. B.; Weinberger, H. F. 24 1953 New bounds in harmonic and biharmonic problems. Zbl 0064.09903Payne, L. E.; Weinberger, H. F. 24 1955 Inequalities between Dirichlet and Neumann eigenvalues. Zbl 0608.35047Levine, Howard A.; Weinberger, Hans F. 23 1986 Upper and lower bounds for eigenvalues by finite difference methods. Zbl 0070.35203Weinberger, H. 22 1956 Error bounds in the Rayleigh-Ritz approximation of eigenvectors. Zbl 0092.32602Weinberger, H. F. 22 1960 Convergence to spatial-temporal clines in the Fisher equation with time-periodic fitnesses. Zbl 0735.35017Hess, P.; Weinberger, H. 21 1990 Note on a lemma of Finn and Gilbar. Zbl 0078.40002Payne, L. E.; Weinberger, H. F. 15 1957 Variational properties of steady fall in Stokes flow. Zbl 0245.76023Weinberger, H. F. 15 1972 On a nonlinear eigenvalue problem. Zbl 0162.45801Weinberger, H. F. 14 1968 An example of blowup produced by equal diffusions. Zbl 0926.35051Weinberger, Hans F. 13 1999 On the stability of bifurcating solutions. Zbl 0466.58017Weinberger, H. F. 13 1978 A Faber-Krahn inequality for wedge-like membranes. Zbl 0099.18701Payne, L. E.; Weinberger, H. F. 12 1960 An extension of the formula for spreading speeds. Zbl 1202.92080Weinberger, Hans F.; Zhao, Xiao-Qiang 11 2010 A maximum property of Cauchy’s problem. Zbl 0072.10003Weinberger, H. F. 11 1956 On sufficient conditions for a linearly determinate spreading speed. Zbl 1250.35125Weinberger, Hans 11 2012 A density-dependent diffusion system with stable discontinuous stationary solutions. Zbl 0673.35054Aronson, D. G.; Tesei, A.; Weinberger, H. 11 1988 A maximum principle and gradient bounds for linear elliptic equations. Zbl 0276.35030Protter, M. H.; Weinberger, H. F. 10 1973 Spreading speeds for a partially cooperative 2-species reaction-diffusion model. Zbl 1369.35031Weinberger, Hans F.; Kawasaki, Kohkichi; Shigesada, Nanako 10 2009 Long-time behavior for a regularized scalar conservation law in the absence of genuine nonlinearity. Zbl 0726.35009Weinberger, H. F. 10 1990 Error bounds in finite-difference approximation to solutions of symmetric hyperbolic systems. Zbl 0092.32704Weinberger, H. F. 7 1959 On the steady fall of a body in a Navier-Stokes fluid. Zbl 0264.76025Weinberger, H. F. 6 1973 Spreading speeds of invasive species in a periodic patchy environment: effects of dispersal based on local information and gradient-based taxis. Zbl 1339.92075Shigesada, Nanako; Kawasaki, Kohkichi; Weinberger, Hans F. 6 2015 Error estimation in the Weinstein method for eigenvalues. Zbl 0047.11203Weinberger, H. F. 5 1952 A variational computation method for forced-vibration problems. Zbl 0089.08402Weinberger, H. F. 5 1958 An effectless cutting of a vibrating membrane. Zbl 0148.35903Weinberger, H. F. 5 1963 On dualizing a multivariable Poisson summation formula. Zbl 0892.42002Duffin, Richard J.; Weinberger, Hans F. 4 1997 Necessary conditions for the optimality of an extrusion die for a rigid-plastic material. Zbl 1062.74007Weinberger, Hans F. 4 2003 Asymptotic properties of Leray’s solutions of the stationary two- dimensional Navier-Stokes equations. Zbl 0299.35081Gilbarg, D.; Weinberger, H. F. 4 1974 On optimal numerical solution of partial differential equations. Zbl 0271.65055Weinberger, H. F. 4 1972 Optimal approximation for functions prescribed at equally spaced points. Zbl 0168.14901Weinberger, H. F. 4 1961 An inequality with alternating signs. Zbl 0047.05304Weinberger, H. F. 4 1952 Some remarks on invariant sets for systems. Zbl 0676.35006Weinberger, H. F. 4 1988 Approximability by weighted norms of the structured and volumetric singular values of a class of nonnegative matrices. Zbl 0879.15016Hershkowitz, Daniel; Huang, Wenchao; Schneider, Hans; Weinberger, Hans 3 1997 Boundary and initial boundary-value problems for separable backward-forward parabolic problems. Zbl 0881.35051Keller, Joseph B.; Weinberger, Hans F. 3 1997 Pest control may make the pest population explode. Zbl 1048.34086Ninomiya, H.; Weinberger, H. F. 3 2003 Dualizing the Poisson summation formula. Zbl 0771.42001Duffin, Richard J.; Weinberger, Hans F. 3 1991 On a backward-forward parabolic equation and its regularization. Zbl 0780.35065Freidlin, Mark; Weinberger, Hans 3 1993 A maximum principle and gradient bounds for linear elliptic equations. Zbl 0253.35027Protter, M. H.; Weinberger, H. F. 3 1973 Remarks on the preceding paper of Lax. Zbl 0086.01604Weinberger, H. F. 3 1958 Exchange of stability in Couette flow. Zbl 0202.26702Weinberger, H. F. 3 1969 Variational inequalities for a body in a viscous shearing flow. Zbl 0316.76017Nir, A.; Weinberger, H. F.; Acrivos, A. 2 1975 An extension of the classical Sturm-Liouville theory. Zbl 0064.08503Weinberger, H. F. 2 1955 Bounds for solutions of second order elliptic equations in terms of arbitrary vector fields. Zbl 0135.15401Payne, L. E.; Weinberger, H. F. 2 1965 Some remarks on good, simple, and optimal quadrature formulas. Zbl 0456.65008Weinberger, H. F. 2 1978 A maximum property of Cauchy’s problem in three-dimensional space-time. Zbl 0178.45203Weinberger, H. F. 2 1961 A note on the optimal state of a binary solid mixture in a stressed elastic bar. Zbl 0888.73024Fosdick, Roger; Royer-Carfagni, Gianni F.; Weinberger, Hans F. 1 1996 Optimal shapes for brittle beams under torsion. Zbl 0425.73046Weinberger, H. F.; Serrin, J. B. 1 1978 On optimal extrusion dies for rigid-plastic materials. Zbl 0977.74049Weinberger, Hans F. 1 1998 On the nonexistence of certain ideal forming operations for extrusion and drawing dies. Zbl 0977.74562Weinberger, Hans F. 1 1997 Curvature inequalities for surfaces over a disk. Zbl 0327.53002Serrin, James; Weinberger, Hans F. 1 1976 Exchange of stability in Couette flow. Zbl 0288.76020Weinberger, H. F. 1 1974 Upper and lower bounds for torsional rigidity. Zbl 0051.41203Weinberger, H. F. 1 1953 Sur les solutions fortes du problème de Tricomi. Zbl 0055.08501Weinberger, Hans F. 1 1954 Remark on a paper of O. G. Owens. Zbl 0080.05305Payne, L. E.; Weinberger, H. F. 1 1957 On bounding harmonic functions by linear interpolation. Zbl 0124.05402Weinberger, H. F. 1 1964 A posteriori error bounds in iterative matrix inversion. Zbl 0146.13405Weinberger, H. F. 1 1966 A characterization of the Polya frequency functions of order 3. Zbl 0488.41018Weinberger, H. F. 1 1983 A simple system with a continuum of stable inhomogeneous steady states. Zbl 0533.35053Weinberger, H. F. 1 1983 A necessary condition for decentralization and an application to intertemporal allocation. Zbl 0712.90013Hurwicz, Leonid; Weinberger, Hans F. 1 1990 On \(p\)-homogeneous systems of differential equations and their linear perturbations. Zbl 1124.34032Ninomiya, Hirokazu; Weinberger, Hans F. 1 2006 Degenerate elliptic models for perfectly plastic flows. Zbl 0866.73017Weinberger, H. F. 1 1995 On matrices for which norm bounds are attained. Zbl 0934.15032Schneider, Hans; Weinberger, Hans F. 1 1998 Asymptotic behavior of a class of discrete-time models in population genetics. Zbl 0452.92017Weinberger, H. F. 1 1979 Spreading speeds of invasive species in a periodic patchy environment: effects of dispersal based on local information and gradient-based taxis. Zbl 1339.92075Shigesada, Nanako; Kawasaki, Kohkichi; Weinberger, Hans F. 6 2015 On sufficient conditions for a linearly determinate spreading speed. Zbl 1250.35125Weinberger, Hans 11 2012 An extension of the formula for spreading speeds. Zbl 1202.92080Weinberger, Hans F.; Zhao, Xiao-Qiang 11 2010 Existence of traveling waves for integral recursions with nonmonotone growth functions. Zbl 1162.92030Li, Bingtuan; Lewis, Mark A.; Weinberger, Hans F. 65 2009 Spreading speeds for a partially cooperative 2-species reaction-diffusion model. Zbl 1369.35031Weinberger, Hans F.; Kawasaki, Kohkichi; Shigesada, Nanako 10 2009 Spreading speeds of spatially periodic integro-difference models for populations with nonmonotone recruitment functions. Zbl 1141.92041Weinberger, Hans F.; Kawasaki, Kohkichi; Shigesada, Nanako 30 2008 Anomalous spreading speeds of cooperative recursion systems. Zbl 1125.92062Weinberger, Hans F.; Lewis, Mark A.; Li, Bingtuan 37 2007 On \(p\)-homogeneous systems of differential equations and their linear perturbations. Zbl 1124.34032Ninomiya, Hirokazu; Weinberger, Hans F. 1 2006 Spreading speeds as slowest wave speeds for cooperative systems. Zbl 1075.92043Li, Bingtuan; Weinberger, Hans F.; Lewis, Mark A. 143 2005 Necessary conditions for the optimality of an extrusion die for a rigid-plastic material. Zbl 1062.74007Weinberger, Hans F. 4 2003 Pest control may make the pest population explode. Zbl 1048.34086Ninomiya, H.; Weinberger, H. F. 3 2003 On spreading speeds and traveling waves for growth and migration models in a periodic habitat. Zbl 1058.92036Weinberger, Hans F. 225 2002 Analysis of linear determinacy for spread in cooperative models. Zbl 1023.92040Weinberger, Hans F.; Lewis, Mark A.; Li, Bingtuan 176 2002 Spreading speed and linear determinacy for two-species competition models. Zbl 1032.92031Lewis, Mark A.; Li, Bingtuan; Weinberger, Hans F. 147 2002 An example of blowup produced by equal diffusions. Zbl 0926.35051Weinberger, Hans F. 13 1999 On optimal extrusion dies for rigid-plastic materials. Zbl 0977.74049Weinberger, Hans F. 1 1998 On matrices for which norm bounds are attained. Zbl 0934.15032Schneider, Hans; Weinberger, Hans F. 1 1998 On dualizing a multivariable Poisson summation formula. Zbl 0892.42002Duffin, Richard J.; Weinberger, Hans F. 4 1997 Approximability by weighted norms of the structured and volumetric singular values of a class of nonnegative matrices. Zbl 0879.15016Hershkowitz, Daniel; Huang, Wenchao; Schneider, Hans; Weinberger, Hans 3 1997 Boundary and initial boundary-value problems for separable backward-forward parabolic problems. Zbl 0881.35051Keller, Joseph B.; Weinberger, Hans F. 3 1997 On the nonexistence of certain ideal forming operations for extrusion and drawing dies. Zbl 0977.74562Weinberger, Hans F. 1 1997 A note on the optimal state of a binary solid mixture in a stressed elastic bar. Zbl 0888.73024Fosdick, Roger; Royer-Carfagni, Gianni F.; Weinberger, Hans F. 1 1996 Degenerate elliptic models for perfectly plastic flows. Zbl 0866.73017Weinberger, H. F. 1 1995 On a backward-forward parabolic equation and its regularization. Zbl 0780.35065Freidlin, Mark; Weinberger, Hans 3 1993 Dualizing the Poisson summation formula. Zbl 0771.42001Duffin, Richard J.; Weinberger, Hans F. 3 1991 Convergence to spatial-temporal clines in the Fisher equation with time-periodic fitnesses. Zbl 0735.35017Hess, P.; Weinberger, H. 21 1990 Long-time behavior for a regularized scalar conservation law in the absence of genuine nonlinearity. Zbl 0726.35009Weinberger, H. F. 10 1990 A necessary condition for decentralization and an application to intertemporal allocation. Zbl 0712.90013Hurwicz, Leonid; Weinberger, Hans F. 1 1990 A density-dependent diffusion system with stable discontinuous stationary solutions. Zbl 0673.35054Aronson, D. G.; Tesei, A.; Weinberger, H. 11 1988 Some remarks on invariant sets for systems. Zbl 0676.35006Weinberger, H. F. 4 1988 Inequalities between Dirichlet and Neumann eigenvalues. Zbl 0608.35047Levine, Howard A.; Weinberger, Hans F. 23 1986 The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains. Zbl 0599.35080Kishimoto, Kazuo; Weinberger, Hans F. 93 1985 Maximum principles in differential equations. Corr. reprint. Zbl 0549.35002Protter, Murray H.; Weinberger, Hans F. 459 1984 A characterization of the Polya frequency functions of order 3. Zbl 0488.41018Weinberger, H. F. 1 1983 A simple system with a continuum of stable inhomogeneous steady states. Zbl 0533.35053Weinberger, H. F. 1 1983 Long-time behavior of a class of biological models. Zbl 0529.92010Weinberger, H. F. 298 1982 Norm-preserving dilations and their applications to optimal error bounds. Zbl 0491.47003Davis, Chandler; Kahan, W. M.; Weinberger, H. F. 86 1982 Spatial patterning of the spruce budworm. Zbl 0412.92020Ludwig, D.; Aronson, D. G.; Weinberger, H. F. 85 1979 Asymptotic behavior of a class of discrete-time models in population genetics. Zbl 0452.92017Weinberger, H. F. 1 1979 Multidimensional nonlinear diffusion arising in population genetics. Zbl 0407.92014Aronson, D. G.; Weinberger, H. F. 768 1978 Asymptotic properties of steady plane solutions of the Navier-Stokes equations with bounded Dirichlet integral. Zbl 0381.35067Gilbarg, D.; Weinberger, H. F. 68 1978 Asymptotic behavior of a model in population genetics. Zbl 0383.35034Weinberger, H. F. 26 1978 On the stability of bifurcating solutions. Zbl 0466.58017Weinberger, H. F. 13 1978 Some remarks on good, simple, and optimal quadrature formulas. Zbl 0456.65008Weinberger, H. F. 2 1978 Optimal shapes for brittle beams under torsion. Zbl 0425.73046Weinberger, H. F.; Serrin, J. B. 1 1978 Curvature inequalities for surfaces over a disk. Zbl 0327.53002Serrin, James; Weinberger, Hans F. 1 1976 Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation. Zbl 0325.35050Aronson, D. G.; Weinberger, H. F. 481 1975 Invariant sets for weakly coupled parabolic and elliptic systems. Zbl 0312.35043Weinberger, Hans F. 89 1975 Variational inequalities for a body in a viscous shearing flow. Zbl 0316.76017Nir, A.; Weinberger, H. F.; Acrivos, A. 2 1975 Variational methods for eigenvalue approximation. Zbl 0296.49033Weinberger, Hans F. 93 1974 Asymptotic properties of Leray’s solution of the stationary two- dimensional Navier-Stokes equations. Zbl 0304.35071Gilbarg, D.; Weinberger, H. F. 29 1974 Asymptotic properties of Leray’s solutions of the stationary two- dimensional Navier-Stokes equations. Zbl 0299.35081Gilbarg, D.; Weinberger, H. F. 4 1974 Exchange of stability in Couette flow. Zbl 0288.76020Weinberger, H. F. 1 1974 A maximum principle and gradient bounds for linear elliptic equations. Zbl 0276.35030Protter, M. H.; Weinberger, H. F. 10 1973 On the steady fall of a body in a Navier-Stokes fluid. Zbl 0264.76025Weinberger, H. F. 6 1973 A maximum principle and gradient bounds for linear elliptic equations. Zbl 0253.35027Protter, M. H.; Weinberger, H. F. 3 1973 Variational properties of steady fall in Stokes flow. Zbl 0245.76023Weinberger, H. F. 15 1972 On optimal numerical solution of partial differential equations. Zbl 0271.65055Weinberger, H. F. 4 1972 Remark on the preceding paper of Serrin. Zbl 0222.31008Weinberger, H. F. 122 1971 Exchange of stability in Couette flow. Zbl 0202.26702Weinberger, H. F. 3 1969 On a nonlinear eigenvalue problem. Zbl 0162.45801Weinberger, H. F. 14 1968 Maximum-principles in differential equations. Zbl 0153.13602Protter, Murray H.; Weinberger, Hans F. 1,291 1967 On the spectrum of general second order operators. Zbl 0141.09901Protter, M. H.; Weinberger, H. F. 53 1966 Isolated singularities of solutions of linear elliptic equations. Zbl 0137.07001Serrin, J.; Weinberger, H. F. 25 1966 A posteriori error bounds in iterative matrix inversion. Zbl 0146.13405Weinberger, H. F. 1 1966 A first course in partial differential equations with complex variables and transform methods. Zbl 0127.04805Weinberger, H. F. 95 1965 Bounds for solutions of second order elliptic equations in terms of arbitrary vector fields. Zbl 0135.15401Payne, L. E.; Weinberger, H. F. 2 1965 On bounding harmonic functions by linear interpolation. Zbl 0124.05402Weinberger, H. F. 1 1964 Regular points for elliptic equations with discontinuous coefficients. Zbl 0116.30302Littman, W.; Stampacchia, G.; Weinberger, H. F. 277 1963 An effectless cutting of a vibrating membrane. Zbl 0148.35903Weinberger, H. F. 5 1963 Symmetrization in uniformly elliptic problems. Zbl 0123.07202Weinberger, H. F. 28 1962 Some isoperimetric inequalities for membrane frequencies and torsional rigidity. Zbl 0098.39201Payne, L. E.; Weinberger, H. F. 36 1961 On Korn’s inequality. Zbl 0107.31105Payne, L. E.; Weinberger, H. F. 32 1961 Optimal approximation for functions prescribed at equally spaced points. Zbl 0168.14901Weinberger, H. F. 4 1961 A maximum property of Cauchy’s problem in three-dimensional space-time. Zbl 0178.45203Weinberger, H. F. 2 1961 An optimal Poincaré inequality for convex domains. Zbl 0099.08402Payne, L. E.; Weinberger, H. F. 251 1960 Error bounds in the Rayleigh-Ritz approximation of eigenvectors. Zbl 0092.32602Weinberger, H. F. 22 1960 A Faber-Krahn inequality for wedge-like membranes. Zbl 0099.18701Payne, L. E.; Weinberger, H. F. 12 1960 Optimal approximation and error bounds. Zbl 0092.05802Golomb, Michael; Weinberger, Hans F. 36 1959 Error bounds in finite-difference approximation to solutions of symmetric hyperbolic systems. Zbl 0092.32704Weinberger, H. F. 7 1959 New bounds for solutions of second order elliptic partial differential equations. Zbl 0093.10901Payne, L. E.; Weinberger, H. F. 54 1958 Lower bounds for higher eigenvalues by finite difference methods. Zbl 0084.34802Weinberger, H. F. 27 1958 A variational computation method for forced-vibration problems. Zbl 0089.08402Weinberger, H. F. 5 1958 Remarks on the preceding paper of Lax. Zbl 0086.01604Weinberger, H. F. 3 1958 Lower bounds for vibration frequencies of elastically supportes membranes and plates. Zbl 0083.19406Payne, L. E.; Weinberger, H. F. 30 1957 Note on a lemma of Finn and Gilbar. Zbl 0078.40002Payne, L. E.; Weinberger, H. F. 15 1957 Remark on a paper of O. G. Owens. Zbl 0080.05305Payne, L. E.; Weinberger, H. F. 1 1957 On the ratio of consecutive eigenvalues. Zbl 0073.08203Payne, Laurent E.; Pólya, George; Weinberger, Hans F. 120 1956 An isoperimetric inequality for the \(n\)-dimensional free membrane problem. Zbl 0071.09902Weinberger, H. F. 81 1956 Upper and lower bounds for eigenvalues by finite difference methods. Zbl 0070.35203Weinberger, H. 22 1956 A maximum property of Cauchy’s problem. Zbl 0072.10003Weinberger, H. F. 11 1956 Sur le quotient de deux fréquences propres consécutives. Zbl 0065.08801Payne, Laurent E.; Pólya, George; Weinberger, Hans F. 31 1955 New bounds in harmonic and biharmonic problems. Zbl 0064.09903Payne, L. E.; Weinberger, H. F. 24 1955 An extension of the classical Sturm-Liouville theory. Zbl 0064.08503Weinberger, H. F. 2 1955 Sur les solutions fortes du problème de Tricomi. Zbl 0055.08501Weinberger, Hans F. 1 1954 A solution of the singular initial value problem for the Euler-Poisson- Darboux equation. Zbl 0052.32401Diaz, J. B.; Weinberger, H. F. 24 1953 Upper and lower bounds for torsional rigidity. Zbl 0051.41203Weinberger, H. F. 1 1953 Error estimation in the Weinstein method for eigenvalues. Zbl 0047.11203Weinberger, H. F. 5 1952 An inequality with alternating signs. Zbl 0047.05304Weinberger, H. F. 4 1952 all cited Publications top 5 cited Publications all top 5 Cited by 4,902 Authors 47 Hamel, François 46 Shen, Wenxian 43 Li, Wan-Tong 43 Payne, Lawrence Edward 36 Lin, Guo 35 Berestycki, Henri 34 Zhao, Xiao-Qiang 32 Du, Yihong 30 Lou, Yuan 29 Guo, Jong-Shenq 28 Wang, Feng-Bin 25 Lutscher, Frithjof 25 Pao, Chia-Ven 25 Roquejoffre, Jean-Michel 23 Cosner, Chris 23 Wang, Zhi Cheng 23 Weinberger, Hans Felix 22 Pan, Shuxia 21 Lewis, Mark Alun 21 Li, Bingtuan 20 Bandle, Catherine 20 Liang, Xing 20 Vohralík, Martin 19 Chen, Xinfu 19 Matano, Hiroshi 19 Weng, Peixuan 19 Zou, Xingfu 18 Cheng, Qingming 18 Giletti, Thomas 18 Rossi, Luca 18 Ruan, Shigui 17 Benguria, Rafael D. 17 Lin, Zhigui 17 Nadin, Grégoire 17 Ou, Chunhua 17 Philippin, Gérard A. 17 Roques, Lionel J. 17 Schaefer, Philip W. 17 Wu, Shiliang 17 Yuan, Rong 16 Maz’ya, Vladimir Gilelevich 16 Wang, Mingxin 15 Ding, Juntang 15 Qi, Yuanwei 14 Ashbaugh, Mark S. 14 Cantrell, Robert Stephen 14 Dancer, Edward Norman 14 Lam, King-Yeung 14 Lui, Roger 14 Repin, Sergeĭ Igorevich 14 Salako, Rachidi Bolaji 13 Alfaro, Matthieu 13 Ducrot, Arnaud 13 Lou, Bendong 13 Sperb, Rene P. 13 Vazquez, Juan Luis 13 Wang, Qiaoling 12 Coville, Jerome 12 Hersch, Joseph 12 Horgan, Cornelius Oliver 12 Macías-Díaz, Jorge Eduardo 12 Ninomiya, Hirokazu 12 Peng, Rui 12 Trombetti, Cristina 12 Villaggio, Piero 12 Xia, Changyu 12 Yi, Taishan 11 Bao, Xiongxiong 11 Hsu, Cheng-Hsiung 11 Hsu, Szebi 11 Kadalbajoo, Mohan K. 11 Kenig, Carlos Eduardo 11 Kim, Seick 11 Levine, Howard Allen 11 Mimura, Masayasu 11 Ni, Wei-Ming 11 Nitsch, Carlo 11 Serrin, James 11 Shigesada, Nanako 11 Straughan, Brian 11 Vitolo, Antonio 11 Zhou, Maolin 10 Bu, Zhenhui 10 Enache, Cristian 10 Hilhorst, Danielle 10 Jin, Yu 10 Leung, Anthony Wing-Kwok 10 Nagylaki, Thomas 10 Poláčik, Peter 10 Russo, Remigio 10 Shi, Junping 10 Shivaji, Ratnasingham 10 Ukhlov, Alexander Dadar-Oolovich 10 Wu, Changhong 10 Wu, Jianhong 9 Aniţa, Sebastian 9 Capuzzo Dolcetta, Italo 9 Chae, Dongho 9 Chen, Yuming 9 Ciraolo, Giulio ...and 4,802 more Authors all top 5 Cited in 471 Serials 397 Journal of Differential Equations 331 Journal of Mathematical Analysis and Applications 158 Archive for Rational Mechanics and Analysis 133 Nonlinear Analysis. 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Serie IV 25 Journal of Elasticity 24 Journal d’Analyse Mathématique 24 Theoretical Population Biology 23 Duke Mathematical Journal 21 Journal of Theoretical Biology 20 Journal of Computational Physics 20 Nonlinearity 19 The Journal of Geometric Analysis 18 SIAM Journal on Applied Mathematics 18 NoDEA. Nonlinear Differential Equations and Applications 17 Computer Methods in Applied Mechanics and Engineering 17 Probability Theory and Related Fields 17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 17 Potential Analysis 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 Mathematical and Computer Modelling 16 Japan Journal of Industrial and Applied Mathematics 16 Journal of Biological Dynamics 15 Acta Mathematica 15 Journal of Nonlinear Science 15 Advances in Difference Equations 15 Science China. Mathematics 14 Communications on Pure and Applied Mathematics 14 Inventiones Mathematicae 14 Stochastic Processes and their Applications 14 Boundary Value Problems 14 Discrete and Continuous Dynamical Systems. Series S 14 International Journal of Biomathematics 13 International Journal of Engineering Science 13 Rocky Mountain Journal of Mathematics 13 Acta Mathematicae Applicatae Sinica. English Series 13 Communications in Nonlinear Science and Numerical Simulation 13 Mathematical Biosciences and Engineering 13 Bulletin of the American Mathematical Society 12 Annales de l’Institut Fourier 12 Integral Equations and Operator Theory 12 Meccanica 12 Journal of Scientific Computing 12 Applied Mathematical Modelling 12 International Journal of Computer Mathematics 12 Journal of Difference Equations and Applications 12 Abstract and Applied Analysis 12 Acta Mathematica Sinica. English Series 12 Communications in Contemporary Mathematics 11 Mathematical Notes 11 The Annals of Probability 11 Archiv der Mathematik 11 Numerical Functional Analysis and Optimization 11 Rendiconti del Seminario Matematico della Università di Padova 11 Results in Mathematics 11 Bulletin of the American Mathematical Society. New Series 11 Journal of Mathematical Fluid Mechanics 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Automatica 10 Calcolo 10 Mathematische Nachrichten 10 Publications of the Research Institute for Mathematical Sciences, Kyoto University ...and 371 more Serials all top 5 Cited in 55 Fields 3,567 Partial differential equations (35-XX) 1,129 Biology and other natural sciences (92-XX) 578 Numerical analysis (65-XX) 442 Ordinary differential equations (34-XX) 334 Fluid mechanics (76-XX) 278 Operator theory (47-XX) 232 Global analysis, analysis on manifolds (58-XX) 189 Mechanics of deformable solids (74-XX) 173 Differential geometry (53-XX) 167 Dynamical systems and ergodic theory (37-XX) 166 Integral equations (45-XX) 158 Calculus of variations and optimal control; optimization (49-XX) 146 Probability theory and stochastic processes (60-XX) 120 Potential theory (31-XX) 104 Classical thermodynamics, heat transfer (80-XX) 101 Functional analysis (46-XX) 75 Difference and functional equations (39-XX) 63 Systems theory; control (93-XX) 56 Linear and multilinear algebra; matrix theory (15-XX) 54 Statistical mechanics, structure of matter (82-XX) 49 Real functions (26-XX) 46 Quantum theory (81-XX) 39 Functions of a complex variable (30-XX) 36 Approximations and expansions (41-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Optics, electromagnetic theory (78-XX) 26 Statistics (62-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 23 Measure and integration (28-XX) 22 Convex and discrete geometry (52-XX) 17 Special functions (33-XX) 16 Mechanics of particles and systems (70-XX) 15 Operations research, mathematical programming (90-XX) 14 Relativity and gravitational theory (83-XX) 12 Information and communication theory, circuits (94-XX) 11 Combinatorics (05-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Geophysics (86-XX) 10 Computer science (68-XX) 8 General and overarching topics; collections (00-XX) 8 History and biography (01-XX) 8 Integral transforms, operational calculus (44-XX) 7 Abstract harmonic analysis (43-XX) 6 Number theory (11-XX) 6 Algebraic topology (55-XX) 5 Manifolds and cell complexes (57-XX) 4 Topological groups, Lie groups (22-XX) 3 Geometry (51-XX) 3 General topology (54-XX) 3 Astronomy and astrophysics (85-XX) 2 Group theory and generalizations (20-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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