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A note on Hayman's theorem on the bass note of a drum
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf00970435openalex-snapshot
On isoperimetric and various other inequalities for a manifold of bounded curvature
inferredcites →https://doi.org/10.1007/bf01214381openalex-snapshot
Eigenvalue comparison theorems and its geometric applications
inferredcites →https://doi.org/10.1007/bf01459405openalex-snapshot
�ber eine Versch�rfung der isoperimetrischen Ungleichheit des Kreises in der Ebene und auf der Kugeloberfl�che nebst einer Anwendung auf eine Minkowskische Ungleichheit f�r konvexe K�rper
inferredcites →https://doi.org/10.1007/bf01604498openalex-snapshot
Sur la fréquence fondamentale d'une membrane vibrante: évaluations par défaut et principe de maximum
inferredcites →https://doi.org/10.1080/00036817808839195openalex-snapshot
Some bounds for principal frequency
inferredcites →https://doi.org/10.1090/pspum/027.2/0378003openalex-snapshot
Eigenfunctions and eigenvalues of Laplacian
inferredcites →https://doi.org/10.1093/qmath/os-20.1.84openalex-snapshot
A VARIANT OF A CLASSICAL ISOPERIMETRIC PROBLEM
inferredcites →https://doi.org/10.1515/9781400869312-013openalex-snapshot
A Lower Bound for the Smallest Eigenvalue of the Laplacian
inferredcites →https://doi.org/10.1515/9781400882663openalex-snapshot
Isoperimetric Inequalities in Mathematical Physics. (AM-27)
inferredcites →https://doi.org/10.2307/2373154openalex-snapshot
Geodesic Parallel Coordinates in the Large
inferredcites →https://doi.org/10.24033/asens.1299openalex-snapshot
Isoperimetric constants and the first eigenvalue of a compact riemannian manifold
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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On the Location of Maxima of Solutions of Schrödinger's Equation
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Decay of Heat Semigroups in L∞ and Applications to Nonlinear Parabolic Problems in Unbounded Domains
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Lyapunov-Type Inequalities for Partial Differential Equations
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Extremals for Sobolev and Exponential Inequalities in Hyperbolic Space
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Two Applications of a Method of Transplantation in Riemannian Geometry
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Lower bounds of Cheeger-Osserman type for the first eigenvalue of then-dimensional fixed membrane problem
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Brownian motion and eigenvalues for the Dirichlet Laplacian
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Multiple precision computation of some zeros of bessel functions by rigorous explicit formulae
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The first eigenvalue of the Laplacian, isoperimetric constants, and the Max Flow Min Cut Theorem
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Extremals for Sobolev and Moser Inequalities in Hyperbolic Space
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On the analytic systole of Riemannian surfaces of finite type
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p-Fundamental tone estimates of submanifolds with bounded mean curvature
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Can One See the Fundamental Frequency of a Drum?
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Heat Profile, Level Sets and Hot Spots of Laplace Eigenfunctions
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The Role of Topology and Capacity in Some Bounds for Principal Frequencies
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Selected results and open problems on Hardy–Rellich and Poincaré–Friedrichs inequalities
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Lyapunov-type inequalities for fractional partial differential equations
inferred← citeshttps://doi.org/10.1016/j.jfa.2016.01.006openalex-snapshot
Lyapunov-type inequalities for partial differential equations
inferred← citeshttps://doi.org/10.1016/s0294-1449(99)80017-1openalex-snapshot
Poincaré's inequality and global solutions of a nonlinear parabolic equation
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Eigenvalue Problems and Conformal Mapping
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On Bernstein–Heinz–Chern–Flanders inequalities
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A semilinear elliptic eigenvalue problem, II. The plasma problem
inferred← citeshttps://doi.org/10.1023/a:1010774905973openalex-snapshot
Lower Bounds for the Nodal Length of Eigenfunctions of the Laplacian
inferred← citeshttps://doi.org/10.1070/im9085openalex-snapshot
Embedding theorems related to torsional rigidity and principal frequency
inferred← citeshttps://doi.org/10.1080/00029890.1979.11994723openalex-snapshot
Bonnesen-Style Isoperimetric Inequalities
inferred← citeshttps://doi.org/10.1080/00036818408839510openalex-snapshot
Lower bounds for the first eigenvalue of the laplacian, with dirichlet boundary conditions and a theorem of hayman
inferred← citeshttps://doi.org/10.1080/03605302.2021.1998909openalex-snapshot
Some applications of heat flow to Laplace eigenfunctions
inferred← citeshttps://doi.org/10.1080/10586458.2006.10128966openalex-snapshot
New Bounds for the Principal Dirichlet Eigenvalue of Planar Regions
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Geometric characterization of nodal domains: the area-to-perimeter ratio
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Isoperimetric inequalities for eigenvalues of the Laplacian
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Bounds on the Principal Frequency of the 𝑝-Laplacian
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On the remainder term of the Berezin inequality on a convex domain
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The isoperimetric inequality
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Upper and lower bounds for the first Dirichlet eigenvalue of a triangle
inferred← citeshttps://doi.org/10.1090/s0002-9939-1981-0589137-2openalex-snapshot
A Lower Bound for the Fundamental Frequency of a Convex Region
inferred← citeshttps://doi.org/10.1090/s0002-9939-1981-0593476-9openalex-snapshot
The First Eigenvalue of the Laplacian for Plane Domains
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Stable complete constant mean curvature surfaces in 𝑅³ and 𝐻³
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An optimal lower bound in fractional spectral geometry for planar sets with topological constraints
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Can One Hear the Shape of a Drum? Revisited
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Second-Order Asymptotic Optimality and Positive Solutions of Schrödinger’s Equation
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Geometrical Structure of Laplacian Eigenfunctions
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Spectral Gaps on Large Hyperbolic Surfaces
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Principal frequency of the p-Laplacian and the inradius of Euclidean domains
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Estimate on the fundamental frequency of a drum
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The spectral geometry of flat disks
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Brownian motion and the fundamental frequency of a drum
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Sharp bounds for eigenvalues of triangles
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THE MAXIMAL EXPECTED LIFETIME OF BROWNIAN MOTION
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Principal eigenvalue estimates via the supremum of torsion
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Global Dynamics of Generalized Logistic Equations
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On the semiclassical limit of the Dirichlet Laplace operator : two-term spectral asymptotics and sharp spectral estimates
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Upper bounds for the index of minimal surfaces
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Spectrum Estimates and Applications to Geometry
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$H^{1,p}$-eigenvalues and $L^\infty$-estimates in quasicylindrical domains
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On the Inner Radius of a Nodal Domain
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Geometrical Versions of improved Berezin–Li–Yau Inequalities
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Scaling inequalities for spherical and hyperbolic eigenvalues
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Mini-Workshop: A Geometric Fairytale full of Spectral Gaps and Random Fruit
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Теоремы вложения, связанные с жесткостью кручения и основной частотой
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Об оценках первого собственного значения в некоторых задачах Штурма - Лиувилля
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On the location of maximal of solutions of Schrödinger's equation
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On the Inner Radius of Nodal Domains
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