Results 21 to 30 of about 136 (109)

The existence of positive solution for an elliptic problem with critical growth and logarithmic perturbation

Advanced Nonlinear Studies, 2023
We consider the existence and nonexistence of the positive solution for the following Brézis-Nirenberg problem with logarithmic perturbation: −Δu=∣u∣2∗−2u+λu+μulogu2x∈Ω,u=0x∈∂Ω,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{ll}-\Delta u={| u| }^{{2}^
Deng Yinbin, He Qihan, Pan Yiqing, Zhong Xuexiu   +3 more
doaj   +1 more source

Note for global existence of semilinear heat equation in weighted L∞ space. [PDF]

, 2019
[Georgiev V.; Георгиев В.]The local and global existence of the Cauchy problem for semilinear heat equations with small data is studied in the weighted L^∞(R^n ) framework by a simple contraction argument.
Gueorguiev, Vladimir Simeonov, Fujiwara, K., Georgiev, V., Ozawa, T., Fujiwara, Kazumasa, Forcella Luigi, Ozawa Tohru   +5 more
core  

Absence of global solutions to wave equations with structural damping and nonlinear memory

Demonstratio Mathematica
We prove the nonexistence of global solutions for the following wave equations with structural damping and nonlinear memory source term utt+(−Δ)α2u+(−Δ)β2ut=∫0t(t−s)δ−1∣u(s)∣pds{u}_{tt}+{\left(-\Delta )}^{\tfrac{\alpha }{2}}u+{\left(-\Delta )}^{\tfrac ...
Kirane Mokhtar, Nabti Abderrazak, Jlali Lotfi   +2 more
doaj   +1 more source

Logistic damping effect in chemotaxis models with density-suppressed motility

Advances in Nonlinear Analysis, 2022
This paper is concerned with a parabolic-elliptic chemotaxis model with density-suppressed motility and general logistic source in an n-dimensional smooth bounded domain with Neumann boundary conditions.
Lyu Wenbin, Wang Zhi-An
doaj   +1 more source

Integer–Fractional Order of Identical Eigenvalues Chaotic Oscillator: Analysis and Shadow Economy Application

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
This study introduces a new three‐dimensional chaotic oscillator system characterized by zero eigenvalues, with stability localized in the center manifold, an uncommon feature in chaotic system design. The proposed system is constructed entirely from nonlinear terms and demonstrates complex dynamics validated through bifurcation analysis and Lyapunov ...
Ali Shukur, Faruk Ozger, Nasser Saeed, Surma Ibrabim, Viet-Thanh Pham, Giuseppe Grassi, Peiguang Wang   +6 more
wiley   +1 more source

Positive solutions for asymptotically linear Schrödinger equation on hyperbolic space

Advances in Nonlinear Analysis
In this article, we study the following stationary Schrödinger equation on hyperbolic space: −ΔHNu+λu=f(u),x∈HN,N≥3,-{\Delta }_{{{\mathbb{H}}}^{N}}u+\lambda u=f\left(u),\hspace{1.0em}x\in {{\mathbb{H}}}^{N},\hspace{1em}N\ge 3, where ΔHN{\Delta }_ ...
Gao Dongmei, Wang Jun, Wang Zhengping
doaj   +1 more source

Asymptotic Lower Bound on the Spatial Analyticity Radius for Solutions of the Periodic Fifth Order KdV–BBM Equation

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
In this work, consideration is given to the initial value problem associated with the periodic fifth‐order KdV–BBM equation. It is shown that the uniform radius of spatial analyticity σ(t) of solution at time t is bounded from below by ct−2/3 (for some c > 0), given initial data η0 that is analytic on the circle and has a uniform radius of spatial ...
Tegegne Getachew, Giovanni P. Galdi
wiley   +1 more source

Regularity for Micropolar Fluid Equations Subjected to Hall Current

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we consider the density‐dependent incompressible Hall‐magnetomicropolar fluid equations and establish a regularity condition involving the Lt1Lx∞ norm of the velocity gradient and the microrotational velocity gradient and the Lt2r/r−3Lxr norm of the magnetic field gradient for r > 3.
Mingyu Zhang, Arpan Hazra
wiley   +1 more source

On the Existence and Behavior of Solution for p(x)‐Biharmonic‐Type Hyperbolic Equation With Nonlinear Damping and Variable Exponent Source

Journal of Mathematics, Volume 2025, Issue 1, 2025.
A fourth‐order p(x)‐biharmonic‐type hyperbolic equation with variable‐exponent nonlinearities is considered. The global existence of solutions has been obtained by potential well theory and the continuous principle. Qualitative properties related to the stability of the solution of this equation are obtained using the method of the well‐known Komornik ...
Billel Gheraibia, Safa M. Mirgani, Nouri Boumaza, Khaled Zennir, Dimitri Mugnai   +4 more
wiley   +1 more source

Kalman filter based on a fractional discrete-time stochastic augmented CoVid-19 model

Journal of Biosafety and Biosecurity
In this paper, we study the dynamics of the CoVid-19 outbreak in Semarang, Indonesia, using a fractional CoVid-19 model. We first determine the effects of the isolation rate ∊ and infection rate β on the reproduction number R0 and infected number V.
Mohammad Ghani, Dwi Rantini, Maryamah
doaj   +1 more source