Convergence of Radially Symmetric Solutions for (p, q)-Laplacian Elliptic Equations with a Damping Term
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-016-9560-4
Abstract: This study considers the quasilinear elliptic equation with a damping term, $$\begin{aligned} \text {div}(D(u)\nabla u) + \frac{k(|{\mathbf {x}}|)}{|{\mathbf {x}}|}\,{\mathbf {x}}\cdot (D(u)\nabla u) + \omega ^2\big (|u|^{p-2}u + |u|^{q-2}u\big ) = 0, \end{aligned}$$div(D(u)∇u)+k(|x|)|x|x·(D(u)∇u)+ω2(|u|p-2u+|u|q-2u)=0,where $${\mathbf {x}}$$x is… read more here.
Keywords: convergence radially; damping term; mathbf; symmetric solutions ... See more keywords
Kelvin–Voight equation with p-Laplacian and damping term: Existence, uniqueness and blow-up
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.09.023
Abstract: Abstract In this paper, we consider the initial-boundary value problem for a generalized Kelvin–Voight equation with p-Laplacian and a damping term: v → t + ( v → ⋅ ∇ ) v → + ∇… read more here.
Keywords: laplacian damping; existence uniqueness; damping term; equation laplacian ... See more keywords
The uniqueness of the solution to the diffusion equation with a damping term
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DOI: 10.1080/00036811.2017.1422725
Abstract: ABSTRACT Consider a non-linear diffusion equation with a damping term. If the diffusion coefficient is positive, then the solutions are not unique generally. However, if the diffusion coefficient degenerates, the situation may change. In this… read more here.
Keywords: diffusion equation; damping term; diffusion; equation damping ... See more keywords
Oscillation criteria for a class of nonlinear discrete fractional order equations with damping term
Sign Up to like & getrecommendations! Published in 2020 at "Mathematica Slovaca"
DOI: 10.1515/ms-2017-0422
Abstract: Abstract The aim in this work is to investigate oscillation criteria for a class of nonlinear discrete fractional order equations with damping term of the form Δa(t)Δr(t)gΔαx(t)β+p(t)Δr(t)gΔαx(t)β+F(t,G(t))=0,t∈Nt0. $$\begin{array}{} \displaystyle \Delta\left[a(t)\left[\Delta\left(r(t)g\left(\Delta^\alpha x(t)\right)\right)\right]^\beta\right]+p(t)\left[\Delta\left(r(t)g\left(\Delta^\alpha x(t)\right)\right)\right]^\beta+F(t,G(t))=0, t\in N_{t_0}. \end{array}$$… read more here.
Keywords: order; oscillation criteria; fractional order; damping term ... See more keywords