Results 41 to 50 of about 502 (154)

Existence and Nonexistence of Positive Solutions for a Weighted Quasilinear Elliptic System

Journal of Mathematics, 2023
This paper deals with the existence and nonexistence of solutions for the following weighted quasilinear elliptic system, Sμ1,μ2q1,q2−divq1x∇up−2∇u=μ1up−2u+α+1uα−1uvβ+1in Ω−divq2x∇vp−2∇v=μ2vp−2v+β+1uα+1vβ−1vin Ωu>0, v>0in Ωu=v=0on ∂Ω  , where Ω⊂ℜNN≥3,2 ...
Yamina Hamzaoui, Atika Matallah, Mohammed El Mokhtar Ould El Mokhtar   +2 more
doaj   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Multiple solutions for a nonhomogeneous quasilinear sub-elliptic system with critical growth and logarithmic perturbation

Demonstratio Mathematica
The interest of this paper is that we use the critical point theory to prove the existence of a sequence of non-trivial solutions for a class of nonhomogeneous quasilinear Sub-elliptic systems with critical growth and logarithmic perturbation.
An Yu-Cheng, An Bi-Jun
doaj   +1 more source

On some properties of a system of nonlinear partial functional differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2016
We consider a system of a semilinear hyperbolic functional differential equation (where the lower order terms contain functional dependence on the unknown function) with initial and boundary conditions and a quasilinear elliptic functional differential ...
László Simon
doaj   +1 more source

Random Carbon Tax Policy and Investment Into Emission Abatement Technologies

Mathematical Finance, EarlyView.
ABSTRACT We analyze the problem of a profit‐maximizing electricity producer, subject to carbon taxes, who decides on investments into CO2$\rm CO_2$ abatement technologies. We assume that the carbon tax policy is random and that the investment in the abatement technology is divisible, irreversible, and subject to transaction costs.
Katia Colaneri, Rüdiger Frey, Verena Köck   +2 more
wiley   +1 more source

Multiple Solutions for a Class of Dirichlet Double Eigenvalue Quasilinear Elliptic Systems Involving the ()-Laplacian Operator

The Scientific World Journal, 2013
Existence results of three weak solutions for a Dirichlet double eigenvalue quasilinear elliptic system involving the ()-Laplacian operator, under suitable assumptions, are established.
Armin Hadjian, Saleh Shakeri
doaj   +1 more source

Analysis of Chorus Wave Power on Burst‐Mode Timescales During the Van Allen Probes Era

Journal of Geophysical Research: Space Physics, Volume 131, Issue 5, May 2026.
Abstract Interactions between whistler‐mode chorus waves and electrons are a key driver of dynamics in Earth's radiation belts. These global dynamics are often described using Fokker‐Planck diffusion models. Whilst, in many cases, such models effectively describe the large scale changes within the region, they often rely upon spatially and temporally ...
R. Black, O. Allanson, N. P. Meredith, A. Hillier, D. P. Hartley   +4 more
wiley   +1 more source

On positive solutions of quasilinear elliptic systems [PDF]

Czechoslovak Mathematical Journal, 1997
The existence and nonexistence of positive solutions of quasilinear elliptic systems \[ -\Delta_p u= f(x,u,v), \quad -\Delta _p v = g(x,u,v), \quad \text{in} \;\Omega ,\quad u = v = 0,\quad \text{on} \;\partial \Omega, \] is studied. Here \(\Delta _p\) is the \(p\)-Laplacian, \(p>1\), \(\Omega \) is a \(C^{1,\alpha }\) domain in \(\mathbb R^n\) and \(f,
openaire   +1 more source

Nonexistence of positive solutions to a quasilinear elliptic system and blow-up estimates for a quasilinear reaction–diffusion system

, 2003
The prior estimate and decay property of positive solutions are derived for a system of quasilinear elliptic differential equations first. Then, the nonexistence result for radially nonincreasing positive solutions of the system is implied. By using this
Zuodong Yang, Yang, Zuodong, Lu, Qishao, Qishao Lu   +3 more
core   +1 more source

Weak solutions to a multi-phase field system of parabolic equations related to alloy solidification [PDF]

, 2007
Existence of weak solutions to a phase field model for solidification of alloys is studied. The model consists of balance equations for the energy and the concentrations of the alloy components which are coupled to a system of Allen-Cahn equations ...
Stinner, Björn
core   +1 more source