A nonsmooth critical point theory approach to some nonlinear elliptic equations in {${\Bbb R}^n$}

Abstract

We determine nontrivial solutions of some semilinear and quasilinear elliptic problems on $\mathbb R^n$; we make use of two different nonsmooth critical point theories which allow to treat two kinds of nonlinear problems. A comparison between the possible applications of the two theories is also made.