@inbook{df947f3c647d4159a6d4acf2389f7b83,
title = "Nodal and multiple constant sign solution for equations with the p-Laplacian",
abstract = "We consider nonlinear elliptic equations driven by the p-Laplacian with a nonsmooth potential (hemivariational inequalities). We obtain the existence of multiple nontrivial solutions and we determine their sign (one positive, one negative and the third nodal). Our approach uses nonsmooth critical point theory coupled with the method of upper-lower solutions.",
keywords = "(S)-operator, Eigenvalues, Local minimizer, Nodal solution, Positive solution, Scalar p-Laplacian",
author = "Agarwal, \{Ravi P.\} and Filippakis, \{Michael E.\} and Donal O{\textquoteright}Regan and Papageorgiou, \{Nikolaos S.\}",
note = "Publisher Copyright: {\textcopyright} 2007, Birkh{\"a}user Verlag Basel/Switzerland.",
year = "2008",
doi = "10.1007/978-3-7643-8482-1\_1",
language = "English",
series = "Progress in Nonlinear Differential Equations and Their Application",
publisher = "Springer US",
pages = "1--14",
booktitle = "Progress in Nonlinear Differential Equations and Their Application",
}