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/