Results 81 to 90 of about 38,137 (194)

An Inverse Spectral Problem for the Matrix Sturm-Liouville Operator with a Bessel-Type Singularity

International Journal of Differential Equations, 2015
The inverse problem by the Weyl matrix is studied for the matrix Sturm-Liouville equation on a finite interval with a Bessel-type singularity in the end of the interval.
Natalia Bondarenko
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A fractional residue theorem and its applications in calculating real integrals

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
wiley   +1 more source

Multiple front and pulse solutions in spatially periodic systems

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley   +1 more source

Liouville-type theorems on the hyperbolic space

Calculus of Variations and Partial Differential Equations
In this paper, we establish Liouville-type theorems for a one-parameter family of elliptic PDEs on the standard upper half-plane model of the hyperbolic space, under specific geometric assumptions. Our results indicate that the Euclidean half-plane is the only compactification of the hyperbolic space when the scalar curvature of the compactified metric
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Generalized Picone's identity and its applications

Electronic Journal of Differential Equations, 2013
In this article we give a generalized version of Picone's identity in a nonlinear setting for the p-Laplace operator. As applications we give a Sturmian Comparison principle and a Liouville type theorem.
Kaushik Bal
doaj  

Local Time Asymmetry in Energetic Electron Distribution Within Saturn's Inner Magnetosphere

Geophysical Research Letters, Volume 53, Issue 6, 28 March 2026.
Abstract Electrons of several hundred keV in Saturn's ring current are important seed components of the radiation belt. In this study, we have statistically analyzed the spatial distribution of energetic electrons on the equatorial plane of the inner magnetosphere based on the Cassini in situ observations.
Yimeng Li, Chao Yue, Yixin Sun, Yixin Hao, Qiugang Zong, Xuzhi Zhou   +5 more
wiley   +1 more source

Optimal Liouville-type theorems for a parabolic system

Discrete and Continuous Dynamical Systems, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A LIOUVILLE TYPE THEOREM FOR HARMONIC MORPHISMS

Journal of the Korean Mathematical Society, 2007
Let M be a complete Riemannian manifold and let N be a Riemannian manifold of nonpositive scalar curvature. Let μ0 be the least eigenvalue of the Laplacian acting on L2-functions on M . We show that if RicM ≥ −μ0 at all x ∈ M and either RicM > −μ0 at some point x0 or Vol(M) is infinite, then every harmonic morphism φ : M → N of finite energy is ...
Seoung-Dal Jung, Huili Liu, Dong-Joo Moon   +2 more
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Liouville type theorem for a singular elliptic equation with finite Morse index

Boundary Value Problems, 2019
This paper considers the nonexistence of solutions for the following singular quasilinear elliptic problem: 0.1 {−div(|x|−ap|∇u|p−2∇u)=f(|x|)|u|r−1u,x∈R+N,|x|−ap|∇u|p−2∂u∂ν=g(|x|)|u|q−1u,on ∂R+N, $$\begin{aligned} \textstyle\begin{cases} -\operatorname ...
Zonghu Xiu, Jing Zhao, Jianyi Chen, Hongwei Yang   +3 more
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