Results 81 to 90 of about 15,743 (200)

Association of Relativistic Electron Microbursts Duration With Chorus Wave Properties

Geophysical Research Letters, Volume 52, Issue 8, 28 April 2025.
Abstract Relativistic electron microbursts are correlated with resonant scattering by whistler‐mode chorus waves. Here, we use chorus wave properties obtained from Van Allen Probe A to calculate the duration of relativistic microbursts. A detailed quantitative comparison between observed and calculated microburst durations shows consistent ranges and ...
Jiabei He, Lunjin Chen, Zhiyang Xia, Mykhaylo Shumko, Lauren Blum   +4 more
wiley   +1 more source

Dirichlet problems for semilinear elliptic equations with a fast growth coefficient on unbounded domains

Electronic Journal of Differential Equations, 2005
When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations that are similar either to the singular Emden-Fowler equation or a sublinear elliptic equation ...
Zhiren Jin
doaj  

Existence of Solutions for Quasilinear Elliptic Equations

Journal of Mathematical Analysis and Applications, 1997
Let \(\Omega\) be a bounded domain in \(\mathbb{R}^N\) with smooth boundary \(\partial\Omega\). The author uses variational methods to deduce sufficient conditions for the existence and multiplicity of weak solutions of the quasilinear Dirichlet problem: \[ -\text{div} \biggl(a \bigl(|\nabla u|^p \bigr)|\nabla u|^{p-2} \nabla u\biggr) =f(x,u) \quad ...
openaire   +1 more source

On nonlocal quasilinear equations and their local limits

, 2016
We introduce a new class of quasilinear nonlocal operators and study equations involving these operators. The operators are degenerate elliptic and may have arbitrary growth in the gradient.
Chasseigne, Emmanuel, Jakobsen, Espen
core   +1 more source

Quasilinear elliptic equations with natural growth

Differential and Integral Equations, 2007
In this paper we deal with the problem $$\left\{ \begin{array}{rcl} - {\rm div}\, (a(x,u)\nabla u) +{g(x,u,\nabla u)} & = & \lambda h(x)u + f{\mbox{ in }}\Omega,\\ u & = & 0{\mbox{ on }}\partial\Omega. \end{array} \right. $$ The main goal of the work is to get hypotheses on $a$, $g$ and $h$ such that the previous problem has a solution for all $\lambda>
ABDELLAOUI B, BOCCARDO, Lucio, PERAL I, PRIMO A.   +3 more
openaire   +3 more sources

$C^{1,\alpha}$-Regularity of Quasilinear equations on the Heisenberg Group

, 2018
In this article, we reproduce results of classical regularity theory of quasilinear elliptic equations in the divergence form, in the setting of Heisenberg Group.
Mukherjee, Shirsho
core  

Multiple solutions for a quasilinear (p,q)-elliptic system

Electronic Journal of Differential Equations, 2013
In this article we show the existence of three weak solutions of a Dirichlet quasilinear elliptic system of differential equations which involves a general (p,q)-elliptic operator in divergence, with ...
Seyyed Mohsen Khalkhali, Abdolrahman Razani   +1 more
doaj  

Weak solutions of degenerated quasilinear elliptic equations of higher order

International Journal of Mathematics and Mathematical Sciences, 1996
We prove the existence of weak solutions of higher order degenerated quasilinear elliptic equations. The main tools are the degree theory for generalized monotone mappings and imbedding theorems between weighted Sobolev spaces.
Pavel Drábek, Alois Kufner, Francesco Nicolosi   +2 more
doaj   +1 more source

𝐿∞-Solutions for Some Nonlinear Degenerate Elliptic Equations

International Journal of Differential Equations, 2011
We are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations −∑𝑛𝑗=1𝐷𝑗[𝜔2(𝑥)𝒜𝑗(𝑥,𝑢,∇𝑢)]+𝜔1(𝑥)𝑔(𝑥,𝑢(𝑥))+𝐻(𝑥,𝑢,∇𝑢)𝜔2(𝑥)=𝑓(𝑥),onΩ in the setting of the weighted Sobolev spaces W01,𝑝(Ω,𝜔1,𝜔2)
Albo Carlos Cavalheiro
doaj   +1 more source

Higher order approximation in exponential form based on half-step grid-points for 2D quasilinear elliptic BVPs on a variant domain. [PDF]

MethodsX, 2023
Setia N, Mohanty RK.
europepmc   +1 more source