Results 41 to 43 of about 222 (43)

Liouville theorems of solutions to mixed order Hénon-Hardy type system with exponential nonlinearity

Advanced Nonlinear Studies
In this paper, we are concerned with the Hénon-Hardy type systems with exponential nonlinearity on a half space R+2 ${\mathbb{R}}_{+}^{2}$ : (−Δ)α2u(x)=|x|aup1(x)eq1v(x),x∈R+2,(−Δ)v(x)=|x|bup2(x)eq2v(x),x∈R+2, $\begin{cases}{\left(-{\Delta}\right ...
Dai Wei, Peng Shaolong
doaj   +1 more source

Gradient estimate and a Liouville theorem for a $p$-Laplacian evolution equation with a gradient nonlinearity

, 2014
In this paper, we establish a local gradient estimate for a $p$-Lpalacian equation with a fast growing gradient nonlinearity. With this estimate, we can prove a parabolic Liouville theorem for ancient solutions satisfying some growth restriction near ...
Attouchi, Amal
core   +1 more source

On entire solutions for an indefinite quasilinear system of mixed power

, 2014
C. Santos, Mariana Reis
semanticscholar   +1 more source