The boundary value problem for a differential equation with onedimensional p-Laplacian is studied. The technique of lower andupper solutions is used. The existence of a solution for wellordered and unordered case as well as the existence of multiplesolutions are proved. The growth condition is assumed only on a partof the nonlinearity.
@article{215,
title = {The existence of multiple solutions for boundary value problem with one dimensional p-Laplacian},
journal = {Tatra Mountains Mathematical Publications},
volume = {55},
year = {2013},
doi = {10.2478/tatra.v54i0.215},
language = {EN},
url = {http://dml.mathdoc.fr/item/215}
}
Rudolf, Boris. The existence of multiple solutions for boundary value problem with one dimensional p-Laplacian. Tatra Mountains Mathematical Publications, Tome 55 (2013) . doi : 10.2478/tatra.v54i0.215. http://gdmltest.u-ga.fr/item/215/