Results 11 to 20 of about 22,806,811 (229)
Bending of flexible round plates [PDF]
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
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Weak solutions for a system of quasilinear elliptic equations [PDF]
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
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On Lyapunov-type inequality for a class of quasilinear systems
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
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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
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Finite-Time Blow-up in a Quasilinear Degenerate Chemotaxis System with Flux Limitation [PDF]
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
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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
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Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature Flow
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
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Quasilinear elliptic systems [PDF]
The quasilinear elliptic system $$\sum\limits_{l{\text{ = 1}}}^n {\frac{\partial }{{\partial x_l }}\left\{ {\sum\limits_{j = 1}^N {\sum\limits_{m = 1}^n {C_{ij}^{lm} [x,U]\frac{{\partial U^j }}{{\partial x_m }} + B_i^l [x,U]} } } \right\} + F_i [x,U] = 0} $$
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Long-Time Behavior of Quasilinear Thermoelastic Kirchhoff-Love Plates with Second Sound [PDF]
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
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
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