Results 11 to 20 of about 22,806,811 (229)

Bending of flexible round plates [PDF]

open access: yesE3S Web of Conferences, 2021
In this paper, schemes for constructing solutions to boundary value problems for static calculation of flexible circular plates with the nonlinear theory of Lyava and Volmyr are presented. From the equations of the equilibrium system of the plates, given
Yuldashev Adash   +3 more
doaj   +1 more source

Weak solutions for a system of quasilinear elliptic equations [PDF]

open access: yes, 2020
A system of quasilinear elliptic equations on an unbounded domain is considered. The existence of a sequence of radially symmetric weak solutions is proved via variational methods.
M. Ragusa, A. Razani
semanticscholar   +1 more source

On Lyapunov-type inequality for a class of quasilinear systems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2014
In this paper, we establish a new Lyapunov-type inequality for quasilinear systems. Our result in special case reduces to the result of Watanabe et al. [J. Inequal. Appl. 242(2012), 1-8]. As an application, we also obtain lower bounds for the eigenvalues
Devrim Cakmak
doaj   +1 more source

Existence and Multiplicity Results for a Class of Coupled Quasilinear Elliptic Systems of Gradient Type

open access: yesAdvanced Nonlinear Studies, 2021
The aim of this paper is investigating the existence of one or more weak solutions of the coupled quasilinear elliptic system of gradient ...
Candela Anna Maria   +2 more
doaj   +1 more source

Finite-Time Blow-up in a Quasilinear Degenerate Chemotaxis System with Flux Limitation [PDF]

open access: yesActa Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications, 2019
This paper deals with the quasilinear degenerate chemotaxis system with flux limitation { u t = ∇ ⋅ ( u p ∇ u u 2 + | ∇ u | 2 ) − χ ∇ ⋅ ( u q ∇ v 1 + | ∇ v | 2 ) , x ∈ Ω , t > 0 , 0 = Δ v − μ + u , x ∈ Ω , t > 0 , $$\begin{aligned} \textstyle\begin{cases}
Yuka Chiyoda, M. Mizukami, T. Yokota
semanticscholar   +1 more source

On Some Quasilinear Systems

open access: yesRocky Mountain Journal of Mathematics, 1997
The authors consider the Dirichlet problem for the quasilinear system \[ -\Delta_p u = F_u(u,v), \quad\Delta_q v = F_v(u,v), \quad \text{in} \Omega, \qquad u = v = 0, \quad \text{on} \partial \Omega, \tag{P} \] on a given bounded domain \(\Omega\subset \mathbb{R}^N\) with smooth boundary, where \(N>2 ...
Peral, I., Vorst, R.C.A.M. van der
openaire   +2 more sources

Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature Flow

open access: yesDiscrete Dynamics in Nature and Society, 2020
In this paper, we investigate the life-span of classical solutions to hyperbolic inverse mean curvature flow. Under the condition that the curve can be expressed in the form of a graph, we derive a hyperbolic Monge–Ampère equation which can be reduced to
Zenggui Wang
doaj   +1 more source

Quasilinear elliptic systems [PDF]

open access: yesAnnali di Matematica Pura ed Applicata (1923 -), 1978
The quasilinear elliptic system $$\sum\limits_{l{\text{ = 1}}}^n {\frac{\partial }{{\partial x_l }}\left\{ {\sum\limits_{j = 1}^N {\sum\limits_{m = 1}^n {C_{ij}^{lm} [x,U]\frac{{\partial U^j }}{{\partial x_m }} + B_i^l [x,U]} } } \right\} + F_i [x,U] = 0} $$
openaire   +1 more source

Long-Time Behavior of Quasilinear Thermoelastic Kirchhoff-Love Plates with Second Sound [PDF]

open access: yes, 2018
We consider an initial-boundary-value problem for a thermoelastic Kirchhoff & Love plate, thermally insulated and simply supported on the boundary, incorporating rotational inertia and a quasilinear hypoelastic response, while the heat effects are ...
Lasiecka, Irena   +2 more
core   +3 more sources

Quasilinear parabolic systems

open access: yesJournal of Differential Equations, 1976
AbstractParabolic systems of partial differential equations are developed and applications are discussed. The systems are quasilinear in divergence form with high-order coefficient matrices which are neither symmetric nor sparse. Weak existence, uniqueness, and stability are established for an appropriate initial-boundary value problem.
Cannon, John R.   +2 more
openaire   +1 more source

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