Results 1 to 10 of about 22,806,792 (210)

Quasilinear and singular elliptic systems [PDF]

open access: yesAdvances in Nonlinear Analysis, 2013
In this paper, we investigate the following quasilinear elliptic and singular system :
Giacomoni Jacques   +2 more
doaj   +4 more sources

The quasilinear Schrödinger–Poisson system [PDF]

open access: yesJournal of Mathematical Physics, 2022
This paper deals with the (p, q)-Schrödinger–Poisson system, which is new and has never been considered in the literature. The uniqueness of solutions of the quasilinear Poisson equation is obtained via the Minty–Browder theorem.
Yao Du, Jiabao Su, Cong Wang
semanticscholar   +4 more sources

Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
For the hyperbolic system of quasilinear first-order partial differential equations, linearizable by hodograph transformation, the conservation laws are used to solve the Cauchy problem.
Sergey I. Senashov, Alexander Yakhno
doaj   +3 more sources

Poincaré chaos for a hyperbolic quasilinear system [PDF]

open access: yesMiskolc Mathematical Notes, 2019
Summary: The existence of unpredictable motions in systems of quasilinear differential equations with hyperbolic linear part is rigorously proved. We make use of the topology of uniform convergence on compact sets and the contraction mapping principle to prove the existence of unpredictable motions.
M. Akhmet   +3 more
semanticscholar   +5 more sources

Singular quasilinear elliptic systems in $\mathbb{R}^N$

open access: yes, 2018
The existence of positive weak solutions to a singular quasilinear elliptic system in the whole space is established via suitable a priori estimates and Schauder's fixed point ...
Marano, S. A., Marino, G., Moussaoui, A.
core   +3 more sources

The Cauchy problem for a quasilinear system of equations with coupling in the linearization [PDF]

open access: yesCommunications on Pure and Applied Analysis, 2022
The Cauchy problem for a quasilinear system of hyperbolic-parabolic equations is addressed with the method of linearization and fixed point. Coupling between the hyperbolic and parabolic variables is allowed in the linearization and we do not assume the ...
F. Angeles
semanticscholar   +1 more source

Global well-posedness for a system of quasilinear wave equations on a product space [PDF]

open access: yesAnalysis & PDE, 2021
We consider a system of quasilinear wave equations on the product space $\mathbb{R}^{1+3}\times \mathbb{S}^1$, which we want to see as a toy model for Einstein equations with additional compact dimensions.
Cécile Huneau, A. Stingo
semanticscholar   +1 more source

Global Existence and General Decay of Solutions for a Quasilinear System with Degenerate Damping Terms

open access: yesJournal of Function Spaces, 2021
In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping, dispersion, and source terms under Dirichlet boundary condition.
F. Ekinci   +3 more
semanticscholar   +1 more source

Blow-up of solutions for a quasilinear system with degenerate damping terms

open access: yesAdvances in Differential Equations, 2021
In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping and general source terms. According to some suitable hypothesis, we study the blow-up of solutions.
S. Boulaaras   +4 more
semanticscholar   +1 more source

CONVEXITY OF REACHABLE SETS OF QUASILINEAR SYSTEMS

open access: yesUral Mathematical Journal, 2023
This paper investigates convexity of reachable sets for quasilinear systems under integral quadratic constraints. Drawing inspiration from B.T. Polyak's work on small Hilbert ball image under nonlinear mappings, the study extends the analysis to ...
Ivan Osipov
doaj   +1 more source

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