Results 91 to 100 of about 1,718 (227)
A LIOUVILLE TYPE THEOREM FOR HARMONIC MORPHISMS
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 +2 more
openaire +1 more source
Quasi‐Trapped Zebra Stripes: Radial Transport Driven by Dual‐Pulse Electric Fields
Abstract Energetic electron spectra in Earth's inner radiation belt often exhibit regular stripe‐like features, known as “zebra stripes,” which are typically attributed to the drift motion of stably‐trapped electrons disturbed by electric field perturbations.
Ziyang Wang +5 more
wiley +1 more source
On the confinement of bounded entire solutions to a class of semilinear elliptic systems
Under appropriate assumptions, we show that all bounded entire solutions to a class of semilinear elliptic systems are confined in a convex domain. Moreover, we prove a Liouville type theorem in the case where the domain is strictly convex.
Sourdis, Christos, Christos Sourdis
core
An extension of the first eigen-Type Ambarzumyan theorem
An extension of the first eigenvalue-type Ambarzumyan's theorem are provided for arbitrary self-adjoint Sturm-Liouville differential operators. © 2020.
Kıraç, Alp Arslan
core +1 more source
Generalized Picone's identity and its applications
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
On Gauge‐Invariant Entire Function Regulators and UV Finiteness in Non Local Quantum Field Theory
We regulate the theory with an entire function of the covariant operator F(□/M∗2)$F(\square /M^{2}_{*})$. In the perturbative vacuum this becomes a momentum‐space factor F(−p2/M∗2)$F(-p^{2}/M^{2}_{*})$ that exponentially damps high momenta, most transparent after Wick rotation, rendering loop integrals UV finite.
J. W. Moffat, E. J. Thompson
wiley +1 more source
On the Sturm-Liouville-type boundary value problem
The problems of existence, uniqueness and continuous dependence on parameter of solutions of the nonlinear boundary value problem of Sturm-Liouville type for ordinary differential equations are considered.
Pachpatte, B.G
core +1 more source
A Liouville type theorem for \(p\)-harmonic maps
The author proves a Liouville type theorem for \(p\)-harmonic maps. Namely, considering the Riemannian manifolds \((M,g)\) and \((N,h)\), where \(M\) is complete, noncompact and has nonnegative Ricci curvature and \(N\) has nonpositive sectional curvature, a \(p\)-harmonic map \(u: M\to N\) of \(C^1_{\text{loc}}\)-class is shown to be constant if its ...
openaire +4 more sources
Harnack inequality and Liouville-type theorems for Ornstein-Uhlenbeck and Kolmogorov operators [PDF]
We prove, with a purely analytic technique, a one-side Liouville theorem for a class of Ornstein-Uhlenbeck operators L0 in RN, as a consequence of a Liouville theorem at “t=−∞” for the corresponding Kolmogorov operators L0−∂t in RN+1.
Lanconelli, Ermanno +3 more
core +1 more source
Liouville-type theorem for higher order Hardy-Hénon type systems on the sphere [PDF]
In this paper, we study Liouville type theorems for the positive solutions to the following higher order Hardy-Hénon type system involving the conformal GJMS operator on the sphere Sn.
Kumar, V, Zhang, R, Ruzhansky, M
core +1 more source

