We prove the existence of at least one non-trivial solution for Dirichlet quasilinear elliptic problems. The approach is based on variational methods.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap108-1-6,
author = {G. A. Afrouzi and A. Hadjian and S. Heidarkhani},
title = {Non-trivial solutions for a two-point boundary value problem},
journal = {Annales Polonici Mathematici},
volume = {107},
year = {2013},
pages = {75-84},
zbl = {1275.34035},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap108-1-6}
}
G. A. Afrouzi; A. Hadjian; S. Heidarkhani. Non-trivial solutions for a two-point boundary value problem. Annales Polonici Mathematici, Tome 107 (2013) pp. 75-84. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap108-1-6/