Results 81 to 90 of about 29,180 (228)
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9967-9983, June 2026.ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
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Liouville type theorem for Fractional Laplacian system
Communications on Pure and Applied Analysis, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Rigidity of balls in the solid mean value property for polyharmonic functions
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We show that balls are the only open bounded domains for which the mean value formula for polyharmonic functions holds. We do so by adapting an argument of Ü. Kuran for harmonic functions. We also, provide a quantitative version of the same result.
Nicola Abatangelo
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A Liouville-type theorem for the homogeneous wave equation
Le Matematiche, 2002 In this paper, we characterize those bounded from below solutions of a homogeneous wave equation on R^2 which are constant.
Filippo Cammaroto, Antonia Chinnì
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Stable factorization of the Calderón problem via the Born approximation
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears as the linear component of a factorization of the Calderón problem; we show that the nonlinear part, obtaining the potential from the Born approximation, enjoys ...
Thierry Daudé +3 more
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Coulomb branch algebras via symplectic cohomology
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
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Existence of solutions for a mixed fractional boundary value problem
Advances in Difference Equations, 2017 In this paper, we prove the existence of solutions for a boundary value problem involving both left Riemann-Liouville and right Caputo-type fractional derivatives.
A Guezane Lakoud +2 more
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Nontrivial Solutions of the Kirchhoff-Type Fractional p-Laplacian Dirichlet Problem
Journal of Function Spaces, 2020 In this article, we consider the new results for the Kirchhoff-type p-Laplacian Dirichlet problem containing the Riemann-Liouville fractional derivative operators.
Taiyong Chen, Wenbin Liu, Hua Jin
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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 +2 more
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Liouville‐Type Theorems for the Stationary Tropical Climate Model Without Temperature Assumptions
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 5, May 2026.ABSTRACT We establish Liouville‐type theorems for smooth solutions to the stationary tropical climate model in R3$\mathbb {R}^3$, which couples barotropic velocity and baroclinic velocity with temperature. Under mild decay conditions on the velocity components, we prove that the only solution is trivial: u=v=0$\mathbf {u}= \mathbf {v}= 0$ and θ$\theta$
Youseung Cho, Minsuk Yang
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