On some aspects of oscillation theory and geometry (Q4979144)

scientific article; zbMATH DE number 6304956

Language	Label	Description	Also known as
English	On some aspects of oscillation theory and geometry	scientific article; zbMATH DE number 6304956

Statements

instance of

scholarly article

0 references

title

On some aspects of oscillation theory and geometry (English)

0 references

0 references

0 references

0 references

17 June 2014

0 references

zbMATH Keywords

oscillation

0 references

spectral theory

0 references

index

0 references

Schrödinger operator

0 references

uncertainty principle

0 references

compactness

0 references

immersions

0 references

comparison

0 references

MaRDI profile type

Publication

0 references

cites work

Hypersurfaces of constant mean curvature with finite index and volume of polynomial growth

0 references

Integral formulas for the $r$-mean curvature linearized operator of a hypersurface

0 references

Q3210493

0 references

Q4836259

0 references

Q3408273

0 references

An Extension of Schwarz's Lemma

0 references

On the equivalence of two types of oscillation for elliptic operators

0 references

A theorem of Myers

0 references

Conformal deformations of complete manifolds with negative curvature

0 references

Conformal deformation to constant negative scalar curvature on noncompact Riemannian manifolds

0 references

A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order

0 references

Stability of hypersurfaces with constant $r$-mean curvature

0 references

The index of constant mean curvature surfaces in hyperbolic 3-space

0 references

The spectrum of the Martin-Morales-Nadirashvili minimal surfaces is discrete

0 references

An extension of Barta's theorem and geometric applications

0 references

Yamabe type equations with sign-changing nonlinearities on non-compact Riemannian manifolds

0 references

Spectral radius, index estimates for Schrödinger operators and geometric applications

0 references

Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

0 references

Nonexistence and uniqueness of positive solutions of Yamabe type equations on nonpositively curved manifolds

0 references

A relation between growth and the spectrum of the Laplacian

0 references

On the spectrum of non-compact manifolds with finite volume

0 references

Positive solutions of Yamabe type equations on complete manifolds and applications

0 references

Positive solutions of Yamabe-type equations on the Heisenberg group

0 references

On Ricci curvature and geodesics

0 references

Q4003026

0 references

An inverse spectral problem on surfaces

0 references

Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds

0 references

Q3344779

0 references

Essential self-adjointness of powers of generators of hyperbolic equations

0 references

On the Elliptic Equations Δu = K(x)u σ and Δu = K(x)e 2u

0 references

Estimates for parametric elliptic integrands

0 references

On the discreteness of the spectrum of the Laplacian on noncompact Riemannian manifolds

0 references

Stable complete minimal surfaces in 𝑅³ are planes

0 references

Regularity properties of the distance functions to conjugate and cut loci for viscosity solutions of Hamilton-Jacobi equations and applications in Riemannian geometry

0 references

Q4759336

0 references

Differential equations on riemannian manifolds and their geometric applications

0 references

Eigenvalue estimate on complete noncompact Riemannian manifolds and applications

0 references

Q5690466

0 references

On the finiteness of the Morse index for Schrödinger operators

0 references

Riemannian manifolds whose Laplacians have purely continuous spectrum

0 references

Schrödinger operators on manifolds, essential self-adjointness, and absence of eigenvalues

0 references

On the elliptic equation $\Delta u+Ku^{(n+2)/(n-2)}=0$ and related topics

0 references

Eigenvalues embedded in the continuum for negatively curved manifolds

0 references

On the essential spectrum of a complete Riemannian manifold

0 references

Negative curvature and embedded eigenvalues

0 references

The spectrum of the Laplacian of manifolds of positive curvature

0 references

Eigenvalue estimates for Schrödinger operators on metric trees

0 references

Q3134551

0 references

Comparison theory for Riccati equations

0 references

Constant positive 2-mean curvature hypersurfaces

0 references

Jacobi tensors and Ricci curvature

0 references

Manifolds with wells of negative curvature. With an appendix by Daniel Ruberman: Homology and bounded homology of universal covers

0 references

A Colding-Minicozzi stability inequality and its applications

0 references

On the spectrum of the laplacian on complete riemannian manifolds

0 references

On complete minimal surfaces with finite Morse index in three manifolds

0 references

The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature

0 references

Q5565773

0 references

On a class of conformal metrics, with application to differential geometry in the large

0 references

Q3262807

0 references

A special Stoke's theorem for complete Riemannian manifolds

0 references

Q3917132

0 references

Compactness Criteria for Riemannian Manifolds

0 references

Riemannian geometry.

0 references

Q5519463

0 references

On the regularity of the growth function of a Riemannian manifold

0 references

Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds

0 references

A generalized sphere theorem

0 references

Elliptic partial differential equations of second order

0 references

The integral of the scalar curvature of complete manifolds without conjugate points

0 references

Function theory on manifolds which possess a pole

0 references

On the Immersion of an n-Dimensional Manifold in n + 1-Dimensional Euclidean Space

0 references

Geodesic Parallel Coordinates in the Large

0 references

Q5330830

0 references

A remark on exponential growth and the spectrum of the Laplacian

0 references

Non-Oscillation Theorems

0 references

A Property of Complete Minimal Surfaces

0 references

The maximum principle for hypersurfaces with vanishing curvature functions

0 references

Two-ended hypersurfaces with zero scalar curvature

0 references

Q5812325

0 references

On subharmonic functions and differential geometry in the large

0 references

Some geometric properties of hypersurfaces with constant $r$-mean curvature in Euclidean space

0 references

The dimension of a cut locus on a smooth Riemannian manifold

0 references

The Lipschitz continuity of the distance function to the cut locus

0 references

A Sard theorem for the distance function

0 references

Q4094022

0 references

Perturbation theory for linear operators.

0 references

Q5186326

0 references

Q3263036

0 references

Discreteness conditions for the Laplacian on complete, non-compact Riemannian manifolds

0 references

An Exterior Dirichlet Problem with Applications to Some Nonlinear Equations Arising in Geometry

0 references

Corrections to the classical behavior of the number of bound states of Schrödinger operators

0 references

A NOTE ON THE ABSENCE OF EIGENVALUES ON NEGATIVELY CURVED MANIFOLDS

0 references

On the essential spectrum of the Laplacian on complete manifolds

0 references

On the Essential Spectrum of the Laplacian and Vague Convergence of the Curvature at Infinity

0 references

The lower bound of the Ricci curvature that yields an infinite discrete spectrum of the Laplacian

0 references

On existence and comparison of conjugate points in Riemannian and Lorentzian geometry

0 references

The weak supersolution-subsolution method for second order quasilinear elliptic equations

0 references

Pure point spectrum and negative curvature for noncompact manifolds

0 references

Q3215519

0 references

The detection of the oscillation of solutions of a second order linear differential equation

0 references

Spectrum of the Laplacian on a complete Riemannian manifold with nonnegative Ricci curvature which possess a pole

0 references

On the Elliptic Equation D i [ a ij (x)D j U ] - k(x)U + K(x)U p = 0

0 references

On conformal scalar curvature equations in ${\mathbb{R}}^ n$

0 references

The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton-Jacobi equations

0 references

$L^ p$ and mean value properties of subharmonic functions on Riemannian manifolds

0 references

On the elliptic equation Δ𝑢+𝑘𝑢-𝐾𝑢^{𝑝}=0 on complete Riemannian manifolds and their geometric applications

0 references

Weighted Poincaré inequality and rigidity of complete manifolds

0 references

An upper bound to the spectrum of $\Delta$ on a manifold of negative curvature

0 references

Hamilton-Jacobi equations and distance functions on Riemannian manifolds

0 references

Complete proper minimal surfaces in convex bodies of $\mathbb R^3$

0 references

Complete proper minimal surfaces in convex bodies of $\mathbb R^3$. II: The behavior of the limit set

0 references

The behaviour of solutions of a linear differential equation of second order

0 references

Positive solutions of elliptic equations

0 references

Q3536057

0 references

Keller-Osserman conditions for diffusion-type operators on Riemannian manifolds

0 references

Myers-type theorems and some related oscillation results

0 references

Riemannian manifolds with positive mean curvature

0 references

Hadamard's and Calabi-Yau's conjectures on negatively curved and minimal surfaces

0 references

A note on bounded positive entire solutions of semilinear elliptic equations

0 references

Oscillation Criteria for Second-Order Linear Differential Equations

0 references

Q3961209

0 references

Q3997067

0 references

Cut loci in Riemannian manifolds

0 references

Bounds for the Discrete Part of the Spectrum of a Semi-Bounded Schrödinger Operator.

0 references

Finiteness of the lower spectrum of Schrödinger operators

0 references

Nonoscillatory elliptic equations

0 references

A conjecture of Glazman

0 references

The spectrum of the Laplacian on a manifold of negative curvature. I

0 references

On the spectrum of Cartan-Hadamard manifolds

0 references

Ricci almost solitons

0 references

Maximum principles on Riemannian manifolds and applications

0 references

Q3511765

0 references

Vanishing and finiteness results in geometric analysis. A generalization of the Bochner technique

0 references

Existence and non-existence results for a logistic-type equation on manifolds

0 references

Q3342966

0 references

Relative volume comparison with integral curvature bounds

0 references

Variational properties of functions of the mean curvatures for hypersurfaces in space forms

0 references

A Morse-Sard theorem for the distance function on Riemannian manifolds

0 references

Q4271943

0 references

Scalar curvature and conformal deformation of hyperbolic space

0 references

Scalar curvature and conformal deformations of noncompact Riemannian manifolds

0 references

Q4066072

0 references

Q3909512

0 references

On the $L^2$-form spectrum of the Laplacian on nonnegatively curved manifolds

0 references

Bounds on the fundamental group of a manifold with almost nonnegative Ricci curvature

0 references

Q4888132

0 references

Images of critical sets

0 references

Q5628581

0 references

The role of total curvature on complete noncompact Riemannian 2- manifolds

0 references

Total Curvatures and Minimal Areas of Complete Open Surfaces

0 references

Q5552356

0 references

Q4281146

0 references

Analysis of the Laplacian on a complete Riemannian manifold

0 references

Q5584775

0 references

$L^ p$-estimates on functions of the Laplace operator

0 references

Regularity for a more general class of quasilinear equations

0 references

Conjugate loci of constant order

0 references

Spectral theory of ordinary differential operators

0 references

S. E. Cohn-Vossen's theorem on the total curvature of complete surfaces

0 references

A criterion of oscillatory stability

0 references

Complete Manifolds with a Little Negative Curvature

0 references

Q4102442

0 references

Review of geometry and analysis

0 references

Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature

0 references

Positive solutions to $\Delta u-Vu+Wu^ p=0$ and its parabolic counterpart in noncompact manifolds.

0 references

full work available at URL

https://doi.org/10.1090/s0065-9266-2012-00681-2

0 references

published in

Memoirs of the American Mathematical Society

0 references

Identifiers

zbMATH Open document ID

1295.34047

0 references

DOI

10.1090/S0065-9266-2012-00681-2

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:4979144