We study the existence of infinitely many solutions for the following quasilinear elliptic equations with critical growth:
where
$$ b_{ij}\in C^{1}(\mathbb {R},\mathbb {R})$$
satisfies the growth condition
$$|b_{ij}(t)|\sim |t|^{2s-2}$$
at infinity,
$$s\ge 1$$
,
$$\Omega \subset \mathbb {R}^N$$
is an open bounded domain with smooth boundary, a is a constant. Here we use the notations:
$$D_i=\frac{\partial }{\partial x_i}, b'_{ij}(t)=\frac{db_{ij}(t)}{dt}.$$
We will study the effect of the terms
$$a|v|^{2...
