Results 21 to 30 of about 7,152,101 (256)
Uniqueness and Liouville type results for radial solutions of some classes of k-Hessian equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We establish a uniqueness theorem and a Liouville type result for positive radial solutions of some classes of nonlinear autonomous equation with the $k$-Hessian operator. We also give some interesting qualitative properties of solutions.
Mohamed Ben Chrouda
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A Liouville theorem for a class of reaction–diffusion systems with fractional diffusion
, 2023 We prove a Liouville theorem on the positive bounded entire solution of a class of reaction–diffusion systems with fractional diffusion.
Guo, Jong-Shenq;Shimojo, Masahiko
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Cubo, 2023 Existence, attractivity, and stability of solutions of a non-linear fractional differential equation of Riemann-Liouville type are proved using the classical Schauder fixed point theorem and a fixed point result due to Dhage.
Bapurao C. Dhage +2 more
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Cut loci and conjugate loci on Liouville surfaces [PDF]
, 2011 In the earlier paper (Itoh and Kiyohara, Manuscr Math 114:247–264, 2004), we showed that the cut locus of a general point on two-dimensional ellipsoid is a segment of a curvature line and proved "Jacobi’s last geometric statement" on the singularities of
Jin-ichi Itoh +3 more
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Mathematics, 2020 Under different criteria, we prove the existence of solutions for sequential fractional differential inclusions containing Riemann–Liouville and Caputo type derivatives and supplemented with generalized fractional integral boundary conditions.
Jessada Tariboon +3 more
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A Liouville-Type Theorem for an Elliptic Equation with Superquadratic Growth in the Gradient [PDF]
Advanced Nonlinear Studies, 2019 We consider the elliptic equation -Δu=uq|∇u|p{-\Delta u=u^{q}|\nabla u|^{p}} in ℝn{\mathbb{R}^{n}} for any p>2{p>2} and q>0{q>0}. We prove a Liouville-type theorem, which asserts that any positive bounded solution is constant.
Roberta Filippucci, P. Pucci, P. Souplet
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Liouville-type theorem for higher-order Hardy-Hénon system
Communications on Pure and Applied Analysis, 2021 In this paper, we study higher-order Hardy-Hénon elliptic systems with weights. We first prove a new theorem on regularities of the positive solutions at the origin, then study equivalence between the higher-order Hardy-Hénon elliptic system and a proper
Kui Li, Zhi-Tao Zhang
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On Cauchy–Liouville-type theorems
Advances in Nonlinear Analysis, 2017 Abstract In this paper we explore Liouville-type theorems to solutions of PDEs involving the ϕ-Laplace operator in the setting of Orlicz–Sobolev spaces. Our results extend Liouville-type theorems that have been obtained recently.
Araya Ataklti, Mohammed Ahmed
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Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]
Opuscula MathematicaIn this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
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Advances in Difference Equations, 2021 This paper is concerned with the existence and uniqueness of solutions for a coupled system of Liouville–Caputo type fractional integro-differential equations with multi-point and sub-strip boundary conditions.
Ahmed Alsaedi +3 more
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