Results 51 to 60 of about 19,753 (190)
A Liouville type theorem for the Schrödinger operator [PDF]
Proceedings of the American Mathematical Society, 1999 In this paper we prove that the equation Δ u ( x ) + h ( x ) u ( x ) = 0 \Delta u(x)+h(x)u(x)=0 on a complete Riemannian manifold of dimension n n without boundary and with nonnegative Ricci curvature admits no ...
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C∞‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2795-2822, 15 March 2026.ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor +2 more
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Abstract and Applied Analysis, 2013 We study the nonlinear -difference equations of fractional order , , , , , where is the fractional -derivative of the Riemann-Liouville type of order , , , , and .
Changlong Yu, Jufang Wang
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Engineering Reports, Volume 8, Issue 3, March 2026.We develop and analyze a fractional‐order avian influenza chicken model for chicken farms, providing existence, uniqueness, and stability results. With real Bangladesh farm data and 80% vaccine efficacy, numerical results show that combining vaccination and treatment can control disease spread by reducing the basic reproduction number below one ...
Muhammad Altaf Khan +4 more
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Advances in Nonlinear Analysis, 2023 This article presents new local and global gradient estimates of Li-Yau type for positive solutions to a class of nonlinear elliptic equations on smooth metric measure spaces involving the Witten Laplacian.
Taheri Ali, Vahidifar Vahideh
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Liouville type theorem for stationary Navier–Stokes equations [PDF]
Nonlinearity, 2016 It is shown that any smooth solution to the stationary Navier-Stokes system in $R^3$ with the velocity field, belonging globally to $L_6$ and $BM0^{-1}$, must be zero.
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Scattering theory for difference equations with operator coefficients
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher +3 more
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$$L^p_{loc}$$ Positivity Preservation and Liouville-Type Theorems
The Journal of Geometric AnalysisAbstractOn a complete Riemannian manifold (M, g), we consider$$L^{p}_{loc}$$Llocpdistributional solutions of the differential inequality$$-\Delta u + \lambda u \ge 0$$-Δu+λu≥0with$$\lambda >0$$λ>0a locally bounded function that may decay to 0 at infinity.
Bisterzo, A, Farina, A, Pigola, S
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Liouville properties for differential inequalities with (p,q)$(p,q)$ Laplacian operator
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we establish several Liouville‐type theorems for a class of nonhomogenenous quasilinear inequalities. In the first part, we prove various Liouville results associated with nonnegative solutions to Ps$P_s$ −Δpu−Δqu⩾us−1inΩ,$$\begin{equation} -\Delta _p u-\Delta _q u\geqslant u^{s-1} \, \text{ in }\, \Omega, \end{equation}$$where ...
Mousomi Bhakta +2 more
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Geophysical Research Letters, Volume 53, Issue 3, 16 February 2026.Abstract In Saturn's magnetosphere, the inward transport of magnetic flux is largely carried by localized injection flux tubes filled with warm, tenuous plasma, although their inflow speeds and spatio‐temporal properties remain poorly constrained. Here, we propose that these flux tubes can modify electron microsignatures, the small‐scale, absorption ...
Ya‐Ze Wu +7 more
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