Results 51 to 60 of about 88,801 (291)

Existence and nonexistence of solutions for elliptic problems with multiple critical exponents

Open Mathematics, 2023
In this article, the existence and nonexistence of solutions for the quasilinear elliptic equations involving multiple critical terms under Dirichlet boundary conditions on bounded smooth domains Ω⊂RN(N≥3)\Omega \subset {R}^{N}(N\ge 3) are proved by ...
Li Yuanyuan
doaj   +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, L. Chen, W. Gu, I. W. Christopher, O. Santolik   +4 more
wiley   +1 more source

Oscillation for quasilinear elliptic equations with p(x)-Laplacians in general domains

Electronic Journal of Differential Equations, 2013
Oscillation of quasilinear elliptic equations with p(x)-Laplacians in general domains are derived by the variational approach as applications of Picone identity. Three examples are given, and generalizations to quasilinear elliptic equations with $p(x)
Norio Yoshida
doaj  

Quasilinear Elliptic Equations with Hardy-Sobolev Critical Exponents: Existence and Multiplicity of Nontrivial Solutions

Journal of Applied Mathematics, 2014
We study the existence of positive solutions and multiplicity of nontrivial solutions for a class of quasilinear elliptic equations by using variational methods. Our obtained results extend some existing ones.
Guanwei Chen
doaj   +1 more source

Uniqueness and Nonuniqueness for the Approximation of Quasilinear Elliptic Equations [PDF]

SIAM Journal on Numerical Analysis, 1996
We investigate the issue of uniqueness and nonuniqueness for the approximate solution of quasilinear elliptic equations. In particular we show that even if the continuous problem admits a unique solution, its approximation by finite elements may lead to several approximate solutions.
André, N, Chipot, M
openaire   +3 more sources

Nonlinear Dynamics and Auroral Acceleration Processes of Electrons Driven by Kinetic Alfvén Waves in the Magnetosphere

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, Yuto Katoh, Yohei Kawazura, Atsushi Kumamoto   +3 more
wiley   +1 more source

Arithmetic three-spheres theorems for quasilinear Riccati type inequalities [PDF]

, 2015
We consider arithmetic three-spheres inequalities to solutions of certain second order quasilinear elliptic differential equations and inequalities with a Riccati-type drift term.Comment: to appear in Journal d'Analyse Math ...
Granlund, Seppo, Marola, Niko
core  

Global regularity of weak solutions to quasilinear elliptic and parabolic equations with controlled growth

, 2010
We establish global regularity for weak solutions to quasilinear divergence form elliptic and parabolic equations over Lipschitz domains with controlled growth conditions on low order terms.
Arkhipova A.A., Arkhipova A.A., Bögelein V., Bögelein V., Campanato S., Campanato S., Campanato S., Campanato S., Campanato S., Campanato S., Chiarenza F., De Giorgi E., Dong H., Doyoon Kim, Duzaar F., Feng Z., Gehring F., Giaquinta M., Giaquinta M., Hongjie Dong, Ladyženskaja O.A., Lieberman G.M., Marino M., Palagachev D., Palagachev D., Pulvirenti G., Stará J.   +26 more
core   +1 more source

Multiple Positive Solutions for a Quasilinear Elliptic System Involving Concave-Convex Nonlinearities and Sign-Changing Weight Functions

International Journal of Mathematics and Mathematical Sciences, 2012
Let Ω∋0 be an-open bounded domain in ℝ𝑁(𝑁≥3) and 𝑝∗=(𝑝𝑁/(𝑁−𝑝)). We consider the following quasilinear elliptic system of two equations in 𝑊01,𝑝(Ω)×𝑊01,𝑝(Ω): −Δ𝑝𝑢=𝜆𝑓(𝑥)|𝑢|𝑞−2𝑢+(𝛼/(𝛼+𝛽))ℎ(𝑥)|𝑢|𝛼−2𝑢|𝑣|𝛽,−Δ𝑝𝑣=𝜇𝑔(𝑥)|𝑣|𝑞−2𝑣+(𝛽/(𝛼+𝛽))ℎ(𝑥)|𝑢|𝛼|𝑣|𝛽−2𝑣, where 𝜆,𝜇 ...
Tsing-San Hsu
doaj   +1 more source

Interface Problems for Quasilinear Elliptic Equations

Journal of Differential Equations, 1999
AbstractIn this paper we consider interface problems for quasilinear elliptic partial differential equations in two-dimensional spaces. The main result is that the bounded weak solution in the neighborhood of a singular point can be divided into two parts, one of which is a function in H2, and the other one can be expressed as a finite linear ...
openaire   +2 more sources