Results 61 to 70 of about 6,857,278 (209)
Simple homotopy theory for Fukaya categories
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley +1 more source
A Liouville type Theorem for an integral system
Communications on Pure and Applied Analysis, 2006 In this paper, we study a conjecture of J.Serrin and give a partial generalized result of the work of de Figueiredo and Felmer about Liouville type Theorem for non-negative solutions for an elliptic system. We use a new type of moving plane method introduced by Chen-Li-Ou. Our new ingredient is the use of Stein-Weiss inequality.
Dezhong Chen, Li Ma
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Geophysical Research Letters, Volume 53, Issue 15, 16 August 2026.Abstract Discrete energy bands of ion fluxes, typically organized in velocity with equal separations, have been frequently observed in Jupiter's magnetosphere either in association with Galilean moons or in regions far from their influence. Here, we focus on the latter type and propose that these bands are manifestations of bounce‐phase structuring ...
Ya‐Ze Wu +5 more
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Liouville theorems on some indefinite equations
, 1999 In this note, we present some Liouville type theorems about the non-negative solutions to some indefinite elliptic equations.
Meijun Zhu
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Boundary Value ProblemsThe purpose of this paper is to study a generalized Riemann–Liouville fractional differential equation and system with nonlocal boundary conditions. Firstly, some properties of the Green function are presented and then Lyapunov-type inequalities for a ...
Faouzi Haddouchi, Mohammad Esmael Samei
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Mathematics, 2020 In this paper, we derive existence and uniqueness results for a nonlinear Caputo–Riemann–Liouville type fractional integro-differential boundary value problem with multi-point sub-strip boundary conditions, via Banach and Krasnosel’skii⏝’s fixed point ...
Ahmed Alsaedi +3 more
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Well‐Posedness and Analyticity of Solutions to the Stationary MHD Equations
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 8, August 2026.ABSTRACT We consider the stationary problem of the MHD equations in R3$\mathbb {R}^3$. The aim of this article is to show existence, uniqueness, regularity, and analyticity of solutions in the scaling invariant homogeneous Besov space Ḃp,q−1+3/p$\dot{B}^{-1 + 3/p}_{p, q}$ for 1⩽p<3$1 \leqslant p < 3$ and 1⩽q⩽∞$1 \leqslant q \leqslant \infty$.
Kento Sube
wiley +1 more source
Harmonic Functions and Liouville-Type Theorems on Complete Riemannian Manifolds
, 2011 Harmonic functions constitute one of the fundamental objects in differential geometry, geometric analysis, and partial differential equations. On a Riemannian manifold, a smooth function is called harmonic if its Laplace–Beltrami operator vanishes.
Indra Kant Jha
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Liouville type theorems for anisotropic degenerate elliptic equations on strips
, 2023 We establish ($L^\infty$) Liouville type theorems for anisotropic degenerate elliptic equations in divergence form on the strip $S=\R^{N-1}\times (-1,1)$ where $x=(x',\lambda)$. The model equation is $div_{x'} (w_1 \nabla_{x'}\sigma)+\partial_\lambda (
Luisa Moschini
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On behavior of solution for delta fractional differences associated with special functions
Alexandria Engineering JournalIn this paper, a general idea of Mittag-Leffler function using discrete fractional of delta-type in the Riemann–Liouville sense is initiated. Asymptotic behavior of solutions associated with the Riemann–Liouville fractional difference is proposed herein ...
Pshtiwan Othman Mohammed +5 more
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