Results 81 to 90 of about 89,789 (287)
Existence of solutions for some degenerate quasilinear elliptic equations
Le Matematiche, 2008 In this paper we are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations
Albo Carlos Cavalheiro
doaj
Nonexistence of positive supersolutions of elliptic equations via the maximum principle [PDF]
, 2010 We introduce a new method for proving the nonexistence of positive supersolutions of elliptic inequalities in unbounded domains of $\mathbb{R}^n$. The simplicity and robustness of our maximum principle-based argument provides for its applicability to ...
Armstrong, Scott N., Sirakov, Boyan
core
Strongly resonant quasilinear elliptic equations
Nonlinear Analysis: Theory, Methods & Applications, 2008 The nonlinear boundary value problem \(-\Delta _{p}u=\lambda _{1}| u| ^{p-2}u+g(u)\) in \(\Omega \), \(u| _{\partial \Omega }=0\), is studied in the paper. An existence result is obtained under some strong generalized Landesman--Laser and Tong conditions. The proof is based on a saddle point theorem with Cerami type PS condition.
openaire +3 more sources
Journal of Geophysical Research: Space Physics, Volume 130, Issue 4, April 2025.Abstract Whistler‐mode chorus waves play a crucial role in accelerating electrons in Earth's outer radiation belt to relativistic and ultrarelativistic energies. While this electron evolution is typically modeled using a diffusion approximation for scattering, high‐amplitude chorus waves induce nonlinear resonant effects that challenge this approach on
Miroslav Hanzelka +5 more
wiley +1 more source
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 +4 more
wiley +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
, 2017 For the homogeneous Dirichlet problem involving a system of equations driven by \begin{document}$(p,q)$\end{document} -Laplacian operators and general gradient dependence we prove the existence of solutions in the ordered rectangle determined by a ...
D. Motreanu, C. Vetro, F. Vetro
semanticscholar +1 more source
Journal of Geophysical Research: Space Physics, Volume 130, Issue 3, March 2025.Abstract This study investigates the nonlinear Landau resonance and auroral acceleration processes of electrons driven by kinetic Alfvén waves (KAWs) in the Earth's magnetosphere. We analyze electron trajectories and parameters, such as kinetic energy, using test particle simulations, focusing on the transition between phase‐trapped and phase‐scattered
Koseki Saito +3 more
wiley +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this paper, we study a class of quasilinear elliptic equations with $\Phi$-Laplacian operator and critical growth. Using the symmetric mountain pass theorem and the concentration-compactness principle, we demonstrate that there exists $\lambda_i>0 ...
Xuewei Li, Gao Jia
doaj +1 more source
Boundary singularities of N -harmonic functions [PDF]
, 2006 We construct N-harmonic functions in a domain with one isolated singularity on the boundary of the domain. By using solutions of the spherical p-harmonic spectral problem, we give an inductive method to produce a large variety of separable p-harmonic ...
Borghol, Rouba, Veron, Laurent
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