Results 91 to 100 of about 14,416 (203)

The Impact of Plasma Density Gradients on Lower Band Chorus Wave Propagation

Geophysical Research Letters, Volume 52, Issue 6, 28 March 2025.
Abstract Plasma density gradients, such as those that occur on plasmaspheric plume boundaries, have been shown to increase the obliquity of lower band chorus. Here, for the first time, this relationship is investigated more generally by considering the wave normal angle, θk ${\theta }_{k}$, as a function of the magnitude of all observed density ...
D. P. Hartley, L. Chen, W. Gu, I. W. Christopher, O. Santolik   +4 more
wiley   +1 more source

Quasilinear elliptic problems with nonstandard growth

Electronic Journal of Differential Equations, 2011
We prove the existence of solutions to Dirichlet problems associated with the $p(x)$-quasilinear elliptic equation $$ Au =- hbox{div} a(x,u,abla u)= f(x,u,abla u). $$ These solutions are obtained in Sobolev spaces with variable exponents.
Mohamed Badr Benboubker, Elhoussine Azroul, Abdelkrim Barbara   +2 more
doaj  

Multiple Solutions of Quasilinear Elliptic Equations in ℝ𝑁

International Journal of Differential Equations, 2010
Assume that 𝑄 is a positive continuous function in ℝ𝑁 and satisfies some suitable conditions. We prove that the quasilinear elliptic equation −Δ𝑝𝑢+|𝑢|𝑝−2𝑢=𝑄(𝑧)|𝑢|𝑞−2𝑢 in ℝ𝑁 admits at least two solutions in ℝ𝑁 (one is a positive ground-state solution and ...
Huei-li Lin
doaj   +1 more source

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

Multibump solutions for quasilinear elliptic equations

Journal of Functional Analysis, 2012
The article is concerned with constructing multibump type solution for quasilinear Schrödinger equations in the entire space. They get some extensions of the results of the classical work of \textit{V. Coti Zelati} and \textit{P. H. Rabinowitz} [Commun. Pure Appl. Math. 45, No.
Liu, Jia-Quan, Wang, Zhi-Qiang, Guo, Yu-Xia   +2 more
openaire   +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

Quasilinear elliptic equations in $\RN$ via variational methods and Orlicz-Sobolev embeddings

, 2012
In this paper we prove the existence of a nontrivial non-negative radial solution for a quasilinear elliptic problem. Our aim is to approach the problem variationally by using the tools of critical points theory in an Orlicz-Sobolev space. A multiplicity
Azzollini, Antonio, d'Avenia, Pietro, Pomponio, Alessio   +2 more
core  

Local renormalized solutions of elliptic equations with variable exponents in unbounded domains

Современная математика: Фундаментальные направления
In this paper, we consider a second-order quasilinear elliptic equation with variable nonlinearity exponents and a locally summable right-hand side.
L. M. Kozhevnikova
doaj   +1 more source

Eigenvalue problems for a quasilinear elliptic equation on ℝN

International Journal of Mathematics and Mathematical Sciences, 2005
We prove the existence of a simple, isolated, positive principal eigenvalue for the quasilinear elliptic equation −Δpu=λg(x)|u|p−2u, x∈ℝN, lim|x|→+∞u(x)=0, where Δpu=div(|∇u|p−2∇u) is the p-Laplacian operator and the weight function g(x), being bounded ...
Marilena N. Poulou, Nikolaos M. Stavrakakis   +1 more
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