Results 41 to 50 of about 811 (206)
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 +3 more
wiley +1 more source
Random Carbon Tax Policy and Investment Into Emission Abatement Technologies
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 +2 more
wiley +1 more source
Analysis of Chorus Wave Power on Burst‐Mode Timescales During the Van Allen Probes Era
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 +4 more
wiley +1 more source
We study the existence and asymptotic behavior of positive solutions for a class of quasilinear elliptic systems in a smooth boundary via the upper and lower solutions and the localization method.
Lin Wei, Zuodong Yang
doaj +1 more source
(N,q)$(N,q)$‐Laplacian equations with one‐sided critical exponential growth
Abstract We prove the existence of two non‐trivial weak solutions for a class of quasilinear, non‐homogeneous elliptic problems driven by the (N,q)$(N,q)$‐Laplacian with one‐sided critical exponential growth in a bounded domain Ω⊂RN$\Omega \subset \mathbb {R}^{N}$. The first solution is obtained as a local minimizer of the associated energy functional;
Elisandra Gloss +2 more
wiley +1 more source
A NOTE ON QUASILINEAR ELLIPTIC SYSTEMS WITH L^\infty-DATA
Summary: We prove the existence of a weak energy solution for the boundary value problem \[\begin{aligned} -\operatorname{div}\, a(x, u, Du) &= f \text{ in } \Omega, \\ u &= 0 \text{ on } \partial\Omega, \end{aligned}\] where \(\Omega\) is a smooth bounded open domain in \(\mathbb{R}^n\) \((n\geqslant 3)\) and \(f\in L^\infty(\Omega;\mathbb{R}^m ...
Balaadich, Farah, Azroul, Elhoussine
openaire +1 more source
Liouville properties for differential inequalities with (p,q)$(p,q)$ Laplacian operator
Abstract In this paper, we establish several Liouville‐type theorems for a class of nonhomogenenous quasilinear inequalities. In the first part, we prove various Liouville results associated with nonnegative solutions to Ps$P_s$ −Δpu−Δqu⩾us−1inΩ,$$\begin{equation} -\Delta _p u-\Delta _q u\geqslant u^{s-1} \, \text{ in }\, \Omega, \end{equation}$$where ...
Mousomi Bhakta +2 more
wiley +1 more source
An integral estimate for weak solutions to some quasilinear elliptic systems [PDF]
summary:We prove an integral estimate for weak solutions to some quasilinear elliptic systems; such an estimate provides us with the following regularity result: weak solutions are ...
Leonetti, Francesco
core
Maximum principles for some quasilinear elliptic systems [PDF]
We give maximum principles for solutions u:Ω→ℝ N to a class of quasilinear elliptic systems whose prototype is [Formula presented]where α∈{1,…,N} is the equation index and Ω is an open, bounded subset of ℝ n .
Rocha, Eugénio +9 more
core +1 more source
Abstract Field‐line curvature scattering (FLCS) is believed to be the primary mechanism forming electron isotropy boundaries (IB) and can rapidly scatter relativistic electrons from the outer radiation belt. However, its direct and quantitative impact on controlling outer belt electron lifetimes has never been directly assessed.
Man Hua +17 more
wiley +1 more source

