Nonlinear elliptic equations with discontinuous nonlinearities (Q2714176)

The paper is devoted to the study of quasilinear elliptic problems. The authors use techniques from nonsmooth critical point theory to prove existence theorems under nonresonance conditions. The results relate to results of \textit{A. Ambrosetti} and \textit{M. Badiale} [J. Math. Anal. Appl. 140, No. 2, 363-373 (1989; Zbl 0687.35033)], \textit{K.-C. Chang} [J. Math. Anal. Appl. 80, 102-129 (1981; Zbl 0487.49027)], \textit{J. Rauch} [Proc. Am. Math. Soc. 64, 277-282 (1977; Zbl 0413.35031)] and \textit{C. A. Stuart} [Math. Z. 163, 239-249 (1978; Zbl 0403.35036)]. There are further links to studies of nonlinear problems treated by \textit{A. Boucherif} and \textit{B. A. Slimani} [Nonlinear Anal., Theory Methods, Appl. 22, No. 12, 1567-1577 (1994; Zbl 0805.34020)] and \textit{P. Drabek} [Rend. Ist. Mat. Univ. Trieste 18, 105-124 (1986; Zbl 0633.34015)].