@Article{Goncerz2012,
author = "Goncerz, Paweł",
title = "On the existence of three solutions for quasilinear elliptic problem",
journal = "Opuscula Math.",
year = "2012",
volume = "32",
number = "3",
pages = "473--486",
doi = "http://dx.doi.org/10.7494/OpMath.2012.32.3.473",
url = "http://dx.doi.org/10.7494/OpMath.2012.32.3.473",
abstract = "We consider a quasilinear elliptic problem of the type \(-\Delta_p u = \lambda (f(u)+\mu g(u))\) in \(\Omega\), \(u|_{\partial \Omega} =0\), where \(\Omega \in \mathbb{R}^N\) is an open and bounded set, \(f\), \(g\) are continuous real functions on \(\mathbb{R}\) and \(\lambda , \mu \in \mathbb{R}\). We prove the existence of at least three solutions for this problem using the so called three critical points theorem due to Ricceri.",
keywords = "critical point, elliptic problem, minimax inequality, \(p\)-Laplacian, three critical points theorem, weak solution",
issn = "1232-9274"
}