| # | Title | Journal | Year | Citations |
|---|
| 1 | Enhancing Sparsity by Reweighted ℓ 1 Minimization | Journal of Fourier Analysis and Applications | 2008 | 3,783 |
| 2 | Exact Matrix Completion via Convex Optimization | Foundations of Computational Mathematics | 2009 | 3,570 |
| 3 | Dual variational methods in critical point theory and applications | Journal of Functional Analysis | 1973 | 3,397 |
| 4 | A Multilinear Singular Value Decomposition | SIAM Journal on Matrix Analysis and Applications | 2000 | 3,245 |
| 5 | Micro-structure in linear elasticity | Archive for Rational Mechanics and Analysis | 1964 | 3,205 |
| 6 | Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape | SIAM Journal on Mathematical Analysis | 1984 | 2,863 |
| 7 | Dissipative dynamical systems part I: General theory | Archive for Rational Mechanics and Analysis | 1972 | 2,760 |
| 8 | A continuum theory of elastic material surfaces | Archive for Rational Mechanics and Analysis | 1975 | 2,641 |
| 9 | Elastic materials with couple-stresses | Archive for Rational Mechanics and Analysis | 1962 | 2,455 |
| 10 | Effects of couple-stresses in linear elasticity | Archive for Rational Mechanics and Analysis | 1962 | 2,161 |
| 11 | Nonlinear scalar field equations, I existence of a ground state | Archive for Rational Mechanics and Analysis | 1983 | 2,059 |
| 12 | The Geometry of Algorithms with Orthogonality Constraints | SIAM Journal on Matrix Analysis and Applications | 1998 | 1,936 |
| 13 | Geometric singular perturbation theory for ordinary differential equations | Journal of Differential Equations | 1979 | 1,825 |
| 14 | An Extension Problem Related to the Fractional Laplacian | Communications in Partial Differential Equations | 2007 | 1,800 |
| 15 | The Lifting Scheme: A Construction of Second Generation Wavelets | SIAM Journal on Mathematical Analysis | 1998 | 1,758 |
| 16 | Convexity conditions and existence theorems in nonlinear elasticity | Archive for Rational Mechanics and Analysis | 1976 | 1,757 |
| 17 | Factoring wavelet transforms into lifting steps | Journal of Fourier Analysis and Applications | 1998 | 1,735 |
| 18 | The thermodynamics of elastic materials with heat conduction and viscosity | Archive for Rational Mechanics and Analysis | 1963 | 1,727 |
| 19 | A Simple Proof of the Restricted Isometry Property for Random Matrices | Constructive Approximation | 2008 | 1,707 |
| 20 | Homogenization and Two-Scale Convergence | SIAM Journal on Mathematical Analysis | 1992 | 1,700 |
| 21 | A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling | SIAM Journal on Matrix Analysis and Applications | 2001 | 1,598 |
| 22 | Some global results for nonlinear eigenvalue problems | Journal of Functional Analysis | 1971 | 1,575 |
| 23 | Bifurcation from simple eigenvalues | Journal of Functional Analysis | 1971 | 1,565 |
| 24 | The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 1. | Annales De L'Institut Henri Poincare (C) Analyse Non Lineaire | 1984 | 1,516 |
| 25 | On calculating with B-splines | Journal of Approximation Theory | 1972 | 1,443 |
| 26 | Some constitutive equations for liquid crystals | Archive for Rational Mechanics and Analysis | 1968 | 1,361 |
| 27 | Partitioning Sparse Matrices with Eigenvectors of Graphs | SIAM Journal on Matrix Analysis and Applications | 1990 | 1,328 |
| 28 | Fine phase mixtures as minimizers of energy | Archive for Rational Mechanics and Analysis | 1987 | 1,278 |
| 29 | On the Best Rank-1 and Rank-(R1 ,R2 ,. . .,RN) Approximation of Higher-Order Tensors | SIAM Journal on Matrix Analysis and Applications | 2000 | 1,222 |
| 30 | Interpolation of scattered data: Distance matrices and conditionally positive definite functions | Constructive Approximation | 1986 | 1,189 |
| 31 | Theories of elasticity with couple-stress | Archive for Rational Mechanics and Analysis | 1964 | 1,180 |
| 32 | The concentration-compactness principle in the Calculus of Variations. The Locally compact case, part 2 | Annales De L'Institut Henri Poincare (C) Analyse Non Lineaire | 1984 | 1,170 |
| 33 | Regularity for a more general class of quasilinear elliptic equations | Journal of Differential Equations | 1984 | 1,069 |
| 34 | Uniqueness of positive solutions of Δu−u+up=0 in Rn | Archive for Rational Mechanics and Analysis | 1989 | 1,004 |
| 35 | Instability in the evolution equations describing incompressible granular flow | Journal of Differential Equations | 1987 | 1,003 |
| 36 | A general theory of heat conduction with finite wave speeds | Archive for Rational Mechanics and Analysis | 1968 | 1,001 |
| 37 | A General Convergence Result for a Functional Related to the Theory of Homogenization | SIAM Journal on Mathematical Analysis | 1989 | 997 |
| 38 | A symmetry problem in potential theory | Archive for Rational Mechanics and Analysis | 1971 | 977 |
| 39 | Iterative Thresholding for Sparse Approximations | Journal of Fourier Analysis and Applications | 2008 | 954 |
| 40 | The approach of solutions of nonlinear diffusion equations to travelling front solutions | Archive for Rational Mechanics and Analysis | 1977 | 947 |
| 41 | On the Navier-Stokes initial value problem. I | Archive for Rational Mechanics and Analysis | 1964 | 942 |
| 42 | The Variational Formulation of the Fokker--Planck Equation | SIAM Journal on Mathematical Analysis | 1998 | 935 |
| 43 | Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen | Archive for Rational Mechanics and Analysis | 1959 | 929 |
| 44 | Implicit Application of Polynomial Filters in a k-Step Arnoldi Method | SIAM Journal on Matrix Analysis and Applications | 1992 | 924 |
| 45 | Robust Solutions to Least-Squares Problems with Uncertain Data | SIAM Journal on Matrix Analysis and Applications | 1997 | 898 |
| 46 | ON STATISTICAL CONVERGENCE | Analysis (Germany) | 1985 | 897 |
| 47 | Stability theory of solitary waves in the presence of symmetry, I | Journal of Functional Analysis | 1987 | 897 |
| 48 | THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION | Communications in Partial Differential Equations | 2001 | 885 |
| 49 | Combined Effects of Concave and Convex Nonlinearities in Some Elliptic Problems | Journal of Functional Analysis | 1994 | 881 |
| 50 | Adaptive greedy approximations | Constructive Approximation | 1997 | 879 |
| 51 | General mass action kinetics | Archive for Rational Mechanics and Analysis | 1972 | 866 |
| 52 | Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model | Journal of Differential Equations | 2010 | 849 |
| 53 | Beyond SEM: General Latent Variable Modeling | Behaviormetrika | 2002 | 846 |
| 54 | Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems | SIAM Journal on Matrix Analysis and Applications | 2003 | 832 |
| 55 | A discrete transform and decompositions of distribution spaces | Journal of Functional Analysis | 1990 | 821 |
| 56 | A general theory of an elastic-plastic continuum | Archive for Rational Mechanics and Analysis | 1965 | 801 |
| 57 | Dissipative dynamical systems Part II: Linear systems with quadratic supply rates | Archive for Rational Mechanics and Analysis | 1972 | 800 |
| 58 | Tikhonov Regularization and Total Least Squares | SIAM Journal on Matrix Analysis and Applications | 1999 | 780 |
| 59 | A mathematical theory of the mechanical behavior of continuous media | Archive for Rational Mechanics and Analysis | 1958 | 779 |
| 60 | The Convex Geometry of Linear Inverse Problems | Foundations of Computational Mathematics | 2012 | 775 |
| 61 | An approximation theorem for functionals, with applications in continuum mechanics | Archive for Rational Mechanics and Analysis | 1960 | 774 |
| 62 | Thermodynamics of materials with memory | Archive for Rational Mechanics and Analysis | 1964 | 771 |
| 63 | The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations | Archive for Rational Mechanics and Analysis | 2009 | 765 |
| 64 | Attractors for random dynamical systems | Probability Theory and Related Fields | 1994 | 758 |
| 65 | Non-linear elliptic and parabolic equations involving measure data | Journal of Functional Analysis | 1989 | 756 |
| 66 | Axioms and fundamental equations of image processing | Archive for Rational Mechanics and Analysis | 1993 | 752 |
| 67 | Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem | SIAM Journal on Matrix Analysis and Applications | 2008 | 751 |
| 68 | Boundary Integral Operators on Lipschitz Domains: Elementary Results | SIAM Journal on Mathematical Analysis | 1988 | 746 |
| 69 | Anisotropic fluids | Archive for Rational Mechanics and Analysis | 1959 | 740 |
| 70 | On the interior regularity of weak solutions of the Navier-Stokes equations | Archive for Rational Mechanics and Analysis | 1962 | 738 |
| 71 | The gradient theory of phase transitions and the minimal interface criterion | Archive for Rational Mechanics and Analysis | 1987 | 735 |
| 72 | Uniform Uncertainty Principle and Signal Recovery via Regularized Orthogonal Matching Pursuit | Foundations of Computational Mathematics | 2009 | 732 |
| 73 | Discretized Fractional Calculus | SIAM Journal on Mathematical Analysis | 1986 | 731 |
| 74 | The uncertainty principle: A mathematical survey | Journal of Fourier Analysis and Applications | 1997 | 720 |
| 75 | Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential | Journal of Functional Analysis | 1986 | 718 |
| 76 | Eigenvalues and Condition Numbers of Random Matrices | SIAM Journal on Matrix Analysis and Applications | 1988 | 715 |
| 77 | Asymptotic stability in viscoelasticity | Archive for Rational Mechanics and Analysis | 1970 | 712 |
| 78 | Boundedness vs. blow-up in a chemotaxis system | Journal of Differential Equations | 2005 | 708 |
| 79 | Fractal functions and interpolation | Constructive Approximation | 1986 | 696 |
| 80 | Bifurcation, perturbation of simple eigenvalues, itand linearized stability | Archive for Rational Mechanics and Analysis | 1973 | 684 |
| 81 | Controllability of nonlinear systems | Journal of Differential Equations | 1972 | 671 |
| 82 | Jacobi Angles for Simultaneous Diagonalization | SIAM Journal on Matrix Analysis and Applications | 1996 | 671 |
| 83 | Identifiability at the boundary for first-order terms | Applicable Analysis | 2006 | 670 |
| 84 | Third-Order Tensors as Operators on Matrices: A Theoretical and Computational Framework with Applications in Imaging | SIAM Journal on Matrix Analysis and Applications | 2013 | 668 |
| 85 | A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I | Functional Analysis and Its Applications | 1975 | 666 |
| 86 | The Cauchy problem for quasi-linear symmetric hyperbolic systems | Archive for Rational Mechanics and Analysis | 1975 | 663 |
| 87 | An analysis of a phase field model of a free boundary | Archive for Rational Mechanics and Analysis | 1986 | 663 |
| 88 | A nonlinear theory of elastic materials with voids | Archive for Rational Mechanics and Analysis | 1979 | 662 |
| 89 | Global-stability problem for coupled systems of differential equations on networks | Journal of Differential Equations | 2010 | 661 |
| 90 | On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation | Journal of Functional Analysis | 1976 | 657 |
| 91 | Global Conservative Solutions of the Camassa–Holm Equation | Archive for Rational Mechanics and Analysis | 2007 | 652 |
| 92 | Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains | Journal of Functional Analysis | 1984 | 648 |
| 93 | A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems | SIAM Journal on Matrix Analysis and Applications | 1996 | 645 |
| 94 | A continuum theory for granular materials | Archive for Rational Mechanics and Analysis | 1972 | 644 |
| 95 | Collinearity diagnostics of binary logistic regression model | Journal of Interdisciplinary Mathematics | 2010 | 631 |
| 96 | Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system | Journal of Differential Equations | 1986 | 630 |
| 97 | Affine Systems inL2(Rd): The Analysis of the Analysis Operator | Journal of Functional Analysis | 1997 | 620 |
| 98 | Optimally Sparse Multidimensional Representation Using Shearlets | SIAM Journal on Mathematical Analysis | 2007 | 619 |
| 99 | A Supernodal Approach to Sparse Partial Pivoting | SIAM Journal on Matrix Analysis and Applications | 1999 | 618 |
| 100 | Interpretation of AF C∗-algebras in Łukasiewicz sentential calculus | Journal of Functional Analysis | 1986 | 616 |
