-div${a(x)|\nabla u|^{p-2}\nabla u$ $=b(x)|u|^(q-2)u $ in $\Omega$
$u(x)$ $= 0$
on $\partial\Omega$
where $\Omega$ is a domain in $\mathbf R^N$ $(N \ge 1)$ with smooth
boundary.
When $a$ and $b$ are positive constants, there are many results on the
nonexistence of nontrivial solutions for the equation (E).
The main purpose of
this paper is to discuss the nonexistence results for
(E) with a class of weak solutions under some assumptions on $a$ and $b$.
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