The $p$-Laplacian – mascot of nonlinear analysis
Pavel Drábek · Czech digital mathematics library · 2007
In this paper we give survey of the results concerning the solvability of certain quasilinear boundary value problems which contain the p-Laplacian as a main part.Special attention is paid to the resonance problems which lead naturally to the study of spectral properties of nonlinear operators.Besides statements of principal results in the historical context we also mention some open problems which seem to be a great challenge for nonlinear analysts.