Global attractors for weighted p-Laplacian equations with boundary degeneracy
S Ma, H Li - Journal of mathematical physics, 2012 - pubs.aip.org
… , we establish the existence of a global attractor in L 2 (Ω) and L q (Ω)(q ⩾ 2), respectively,
for weighted p-Laplacian equations with boundary degeneracy and without any restriction
on the growing order of the nonlinearity. … We consider the existence of global attractors for
the following evolutionary weighted p-Laplacian equations with boundary degeneracy: \begin{equation}\left\lbrace
\begin{array}{@{}l@{\quad }l@{}}\dfrac{\partial u}{\partial t}-{\rm div}(a(x)|\nabla u|^{p-2}\nabla
u)+f(u)=g\quad &\text{ in } \Omega \times \mathbb R^+,\\[8pt]u=0& \text{ on } \partial \Omega \times …
for weighted p-Laplacian equations with boundary degeneracy and without any restriction
on the growing order of the nonlinearity. … We consider the existence of global attractors for
the following evolutionary weighted p-Laplacian equations with boundary degeneracy: \begin{equation}\left\lbrace
\begin{array}{@{}l@{\quad }l@{}}\dfrac{\partial u}{\partial t}-{\rm div}(a(x)|\nabla u|^{p-2}\nabla
u)+f(u)=g\quad &\text{ in } \Omega \times \mathbb R^+,\\[8pt]u=0& \text{ on } \partial \Omega \times …