Results 21 to 30 of about 147 (113)

Generalized Picone inequalities and their applications to (p,q)-Laplace equations

open access: yesOpen Mathematics, 2020
We obtain a generalization of the Picone inequality which, in combination with the classical Picone inequality, appears to be useful for problems with the (p,q)(p,q)-Laplace-type operators.
Bobkov Vladimir, Tanaka Mieko
doaj   +1 more source

On a blow-up criterion for solution of 3D fractional Navier-Stokes-Coriolis equations in Lei-Lin-Gevrey spaces

open access: yesOpen Mathematics, 2023
In this article, we researched the existence of the solution to the fractional Navier-Stokes equations with the Coriolis force under initial data, which belong to the Lei-Lin-Gevrey spaces.
Sun Xiaochun, Xu Gaoting, Wu Yulian
doaj   +1 more source

Stability Results for Higher Order Solutions of Damped Wave Equations With Generalized Hartree‐Type Nonlinearity in Rn

open access: yesJournal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate the dynamics of higher‐order solutions for a class of damped wave equations posed in Rn and driven by a nonlocal cubic convolution source of Hartree type. The model incorporates a higher order Laplacian of order σ, spatially dependent density functions, and frictional damping mechanisms.
Khaled Zennir   +4 more
wiley   +1 more source

Temporal periodic solutions of non-isentropic compressible Euler equations with geometric effects

open access: yesAdvances in Nonlinear Analysis
In this article, we investigate the general qusi-one-dimensional nozzle flows governed by non-isentropic compressible Euler system. First, the steady states of the subsonic and supersonic flows are analyzed. Then, the existence, stability, and uniqueness
Fang Xixi, Ma Shuyue, Yu Huimin
doaj   +1 more source

Global well-posedness of the full compressible Hall-MHD equations

open access: yesAdvances in Nonlinear Analysis, 2021
This paper deals with a Cauchy problem of the full compressible Hall-magnetohydrodynamic flows. We establish the existence and uniqueness of global solution, provided that the initial energy is suitably small but the initial temperature allows large ...
Tao Qiang, Zhu Canze
doaj   +1 more source

Triple Solutions for Nonlinear (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff Type Equations

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
In this manuscript, we study a (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff equation involving a continuous positive potential that satisfies del Pino–Felmer type conditions: K1∫ℝN11/μ1z∇ψμ1z dz+∫ℝN/μ1zVzψμ1z dz−Δμ1·ψ+Vzψμ1z−2ψ+K2∫ℝN11/μ2z∇ψμ2z dz+∫ℝN/μ2zVzψμ2z dz−Δμ2·ψ+Vzψμ2z−2ψ=ξ1θ1z,ψ+ξ2θ2z,ψ inℝN, where K1 and K2 are Kirchhoff functions, Vz is a ...
Ahmed AHMED   +3 more
wiley   +1 more source

Global well-posedness for the generalized Keller-Segel system in critical Besov-Morrey spaces with variable exponent [PDF]

open access: yes
This article is devoted to studying the generalized Keller-Segel system (GKS) in homogeneous variable exponent Besov-Morrey spaces. By making use of the Littlewood-Paley theory and the Chemin mono-norm methods, we obtain, when 1/2< β ≤ 1, a global ...
EL IDRISSI, Ahmed   +3 more
core   +1 more source

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

open access: yesDemonstratio 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   +2 more
doaj   +1 more source

Blow‐Up Criteria for Higher Order Fractional Moore–Gibson–Thompson Equations With Fractional Laplacian Damping

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This paper presents the first systematic analysis of critical exponents for both third and fourth‐order fractional Moore–Gibson–Thompson (MGT) equations with combined spatiotemporal fractional derivatives and structural damping. We establish sharp nonexistence results for global solutions via an adapted test function method, deriving explicit critical ...
Ahlem Merah   +7 more
wiley   +1 more source

Positive solutions for asymptotically linear Schrödinger equation on hyperbolic space

open access: yesAdvances 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

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