Gradient estimates of a nonlinear elliptic equation for the V-Laplacian
Sign Up to like & getrecommendations! Published in 2019 at "Archiv der Mathematik"
DOI: 10.1007/s00013-019-01419-1
Abstract: This paper studies gradient estimates for positive solutions of the nonlinear elliptic equation $$\begin{aligned} \Delta _V(u^p)+\lambda u=0,\quad p\ge 1, \end{aligned}$$on a Riemannian manifold (M, g) with k-Bakry–Emery Ricci curvature bounded from below. We consider both the… read more here.
Keywords: gradient estimates; estimates nonlinear; nonlinear elliptic; elliptic equation ... 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
Dirichlet boundary value problem for differential equation with ϕ-Laplacian and state-dependent impulses
Sign Up to like & getrecommendations! Published in 2017 at "Mathematica Slovaca"
DOI: 10.1515/ms-2016-0283
Abstract: Abstract The paper deals with the boundary value problem for differential equation with ϕ-Laplacian and state-dependent impulses of the form ϕ(z′(t))′=f(t,z(t),z′(t)) for a.e. t∈[0,T]⊂R,Δz′(t)=M(z(t),z′(t−)),t=γ(z(t)),z(0)=z(T)=0. $$\begin{array}{} \left(\phi(z'(t))\right)' = f(t,z(t),z'(t))\qquad \text{ for a.e. } t\in [0,T]\subset\mathbb R,\\ \Delta z'(t)… read more here.
Keywords: differential equation; problem; value problem; boundary value ... See more keywords
An inverse problem for the pseudo-parabolic equation with p-Laplacian
Sign Up to like & getrecommendations! Published in 2021 at "Evolution Equations and Control Theory"
DOI: 10.3934/eect.2021005
Abstract: In this article, we study the inverse problem of determining the right side of the pseudo-parabolic equation with a p-Laplacian and nonlocal integral overdetermination condition. The existence of solutions in a local and global time… read more here.
Keywords: equation laplacian; problem; pseudo parabolic; parabolic equation ... See more keywords