Results 81 to 90 of about 5,372,216 (210)

Existence of solutions for quasilinear elliptic systems involving critical exponents and Hardy terms

Electronic Journal of Differential Equations, 2013
Using variational methods, including the Ljusternik-Schnirelmann theory, we prove the existence of solutions for quasilinear elliptic systems with critical Sobolev exponents and Hardy terms.
Dengfeng Lu
doaj  

Chorus Wave–Driven Electron Dynamics in the Van Allen Belts: From Coherence to Diffusion

AGU Advances
The Van Allen radiation belts contain relativistic electrons trapped by Earth's magnetic field, posing serious risks to spacecraft. Chorus waves are known to accelerate these electrons via resonant interactions, but these interactions are inherently ...
Xin Tao, Zeyu An, Fulvio Zonca, Liu Chen, Jacob Bortnik   +4 more
doaj   +1 more source

On the existence of a conditionally periodic solution of one quasilinear differential system in the critical case

Вестник КазНУ. Серия математика, механика, информатика, 2019
In the theory of nonlinear oscillations one often encounters conditionally periodic oscillations resulting from the superposition of several oscillations with frequencies incommensurable with each other.
Zh. Suleimenov
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Optimal Control of Quasilinear Parabolic PDEs: Theory and Numerics [PDF]

, 2022
This thesis is concerned with theory and numerics of optimal control of quasilinear parabolic PDEs. The underlying parabolic PDE models, e.g., heat conduction with temperature-dependent thermal conductivity and is highly nonlinear with a nonmonotone ...
Hoppe, Fabian
core   +1 more source

The Nonparametric Approach to Applied Welfare Analysis [PDF]

Changes in total surplus and deadweight loss are traditional measures of economic welfare. We propose necessary and sufficient conditions for rationalizing consumer demand data with a quasilinear utility function. Under these conditions, consumer surplus
Caterina Calsamiglia, Donald J. Brown
core  

Quasilinear Problems without the Ambrosetti-Rabinowitz Condition

, 2021
We show the existence of nontrivial solutions for a class of quasilinear problems in which the governing operators depend on the unknown function.
Mugnai, Dimitri, Fragnelli, Genni, Candela, Anna Maria   +2 more
core   +1 more source

An elliptic system with logarithmic nonlinearity

Advances in Nonlinear Analysis, 2017
In the present paper, we study the existence of solutions for some classes of singular systems involving the Δp⁢(x){\Delta_{p(x)}} and Δq⁢(x){\Delta_{q(x)}} Laplacian operators. The approach is based on bifurcation theory and the sub-supersolution method
Alves Claudianor, Moussaoui Abdelkrim, Tavares Leandro   +2 more
doaj   +1 more source

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

Existence of Quasilinear Neutral Impulsive Integrodifferential Equations in Banach Space

International Journal of Analysis and Applications, 2015
In this paper, we devoted to study the existence of mild solutions for quasilinear impulsive integrodi_erential equation in Banach spaces. The results are established by using Hausdor_'s measure of noncompactness and the _xed point theorems.
B. Radhakrishnan
doaj   +2 more sources

Existence of solutions to quasilinear functional differential equations

Electronic Journal of Differential Equations, 2009
In this article we use the theory of C0-semigroup of bounded linear operators to establish the existence and uniqueness of a classical solution to a quasilinear functional differential equation considered in a Banach space.
Syed Abbas, Dhirendra Bahuguna
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