Standout Papers

An optimal Poincaré inequality for convex domains 1960 2026 1982 2004 392
  1. An optimal Poincaré inequality for convex domains (1960)
    L. E. Payne, Hans F. Weinberger Archive for Rational Mechanics and Analysis

Citation Impact

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On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
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Mathematical and numerical models for coupling surface and groundwater flows
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Pathophysiology of the Neuroregulation of Growth Hormone Secretion in Experimental Animals and the Human*
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Material interpolation schemes in topology optimization
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The relation between load and penetration for a spherical punch
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Ice sheet grounding line dynamics: Steady states, stability, and hysteresis
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Remarks on some quasilinear elliptic equations
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Error Estimate Procedure in the Finite Element Method and Applications
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A variational approach to ice stream flow
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Interdimensional degeneracies, near degeneracies, and their applications
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Basic mathematical and electromagnetic concepts of the biomagnetic inverse problem
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The relation between load and penetration in the axisymmetric boussinesq problem for a punch of arbitrary profile
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Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model
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A new collection of real world applications of fractional calculus in science and engineering
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Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
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Prolactin (PRL) and Its Receptor: Actions, Signal Transduction Pathways and Phenotypes Observed in PRL Receptor Knockout Mice
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Greater efficacy of episodic than continuous growth hormone-releasing hormone (GHRH) administration in promoting slow-wave sleep (SWS).
1996
Existence of solitary waves in higher dimensions
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Numerical study of a relaxed variational problem from optimal design
1986
Iterative Stokes Solvers in the Harmonic Velte Subspace
2001
Estrogen Receptor Null Mice: What Have We Learned and Where Will They Lead Us?
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Adaptation of the 24-h growth hormone profile to a state of sleep debt
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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
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Generating optimal topologies in structural design using a homogenization method
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Generalized axially symmetric potential theory
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The hydrodynamics of swimming microorganisms
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Optimal shape design as a material distribution problem
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Differentiable dynamical systems
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Geometry of self-propulsion at low Reynolds number
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Numerical solution of saddle point problems
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Thermoelasticity without energy dissipation
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A posteriori error estimation in finite element analysis
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Theoretical considerations for inverse scattering
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A Front-Tracking Method for the Computations of Multiphase Flow
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Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations
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Finitistic dimension and a homological generalization of semi-primary rings
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Hormones and Endocrine-Disrupting Chemicals: Low-Dose Effects and Nonmonotonic Dose Responses
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Wetting: statics and dynamics
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About Sleep's Role in Memory
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Humoral regulation of physiological sleep: cytokines and GHRH
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On fractional thermoelasticity
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Eigenvalue optimization
1996
Prolactin: Structure, Function, and Regulation of Secretion
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The Stokes resistance of a slightly deformed sphere
1964
Collective motion
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Convexity conditions and existence theorems in nonlinear elasticity
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Quantum algorithm for simulating the wave equation
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Injective modules over Noetherian rings
1958
The premelting of ice and its environmental consequences
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Patterned ground formation and penetrative convection in porous media
1989
A uniqueness theorem in the theory of Cosserat surface
1972
The motion of long slender bodies in a viscous fluid Part 1. General theory
1970
Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
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Sleep in rats rendered chronically hyperprolactinemic with anterior pituitary grafts
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Colloid Transport by Interfacial Forces
1989 Standout
Fast linear iterations for distributed averaging
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Hydrodynamic friction and the capacitance of arbitrarily shaped objects
1994
Randomized gossip algorithms
2006 Standout
Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
1976 Standout
Stokeslets and Eddies in Creeping Flow
1980
Growth properties of solutions of the reduced wave equation with a variable coefficient
1959
Surface tank treading: Propulsion of Purcell’s toroidal swimmer
2008
Humoral Regulation of Sleep
1998
Estimation of critical loads in elastic stability theory
1964
The spreading of a drop by capillary action
1982
The Role of Critical Exponents in Blowup Theorems
1990
Distal transformation groups
1958
On bubbles with small immobile adsorbed films rising in liquids at low Reynolds numbers
1973
Ordinary differential equations of non-linear elasticity I: Foundations of the theories of non-linearly elastic rods and shells
1976
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Existence theorems, qualitative results and a priori bounds for a class of nonlinear Dirichlet problems
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Effects of systemic GHRH on sleep in intact and hypophysectomized rats
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Neuronal Substrates of Sleep and Epilepsy
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Neuroendocrine Control of Growth Hormone Secretion
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Works of L. E. Payne being referenced

Convection in thawing subsea permafrost
1987
Inhibition of growth hormone-releasing factor suppresses both sleep and growth hormone secretion in the rat
1991
Antiserum to prolactin decreases rapid eye movement sleep (REM sleep) in the male rat
1992
Involvement of prolactin in the REM sleep-promoting activity of systemic vasoactive intestinal peptide (VIP)
1994
Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modelling questions
1998
Note on a Lemma of Finn and Gilbarg
1957
Growth hormone-releasing hormone antibodies suppress sleep and prevent enhancement of sleep after sleep deprivation
1992
Nonexistence of global weak solutions for classes of nonlinear wave and parabolic equations
1976
Uniqueness in classical elastodynamics
1968
On complete recovery of geophysical data
1982
On the Ratio of Consecutive Eigenvalues
1956
Saddle points and instability of nonlinear hyperbolic equations
1975
On Stokes flow about a torus
1960
On inequalities of Korn, Friedrichs and Babuška-Aziz
1983
An optimal Poincaré inequality for convex domains
1960 Standout
Uniqueness Theorems in Linear Elasticity
1971
On Korn's inequality
1961
On uniqueness and continuous dependence in dynamical problems of linear thermoelasticity
1970
Decay for a Keller–Segel Chemotaxis Model
2009
Isoperimetric Inequalities and Their Applications
1967
New bounds for solutions of second order elliptic partial differential equations
1958
Sleep in diabetic rats: effects of interleukin 1
1991
A potential well theory for the heat equation with a nonlinear boundary condition
1987
Capacity, virtual mass, and generalized symmetrization
1952
The Stokes flow problem for a class of axially symmetric bodies
1960
On axially symmetric flow and the method of generalized electrostatics
1952
Unconditional nonlinear stability in penetrative convection
1987
An isoperimetric inequality for the first eigenfunction in the fixed membrane problem
1972
On Axially Symmetric Punch, Crack and Torsion Problems
1953
Torsion of a Shaft with a Toroidal Cavity
1954
Rankless by CCL
2026