Existence of infinitely many critical values of some nonsymmetric functionals (Q1183238)

In the case \(q>\nu>0\), \(1<p<N/(N-2)\) \textit{A. Bahri} and \textit{P. L. Lions} [Commun. Pure Appl. Math. (to appear)] have proved the existence of infinitely many solutions of the problem \[ -\Delta u=q(x) | u|^{p-1} u+h(x)\text{ in }\Omega, \qquad u=0 \text{ on } \partial\Omega. \] The author considers the case in which \(q\) is positive somewhere proving again results on the existence of infinitely many solutions.