Multiple solutions for a generalized critical noncooperative
Schr\”{o}dinger system in
$\mathbb{R}^N$
Abstract
In this paper, we study the multiplicity of solutions for a class of
noncooperative Schr\”{o}dinger-type system involving a
general variable exponent elliptic operator with critical nonlinearity
in $\mathbb{R}^N$. Under suitable assumptions, we
obtain a sequence of solutions by using the Limit Index Theory due to Li
\cite{Li1} and the version of concentration-compactness
principle.