We establish an existence theorem for a Dirichlet problem with homogeneous boundary conditions by using a general variational principle of Ricceri.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap83-2-2,
author = {Giovanni Anello and Giuseppe Cordaro},
title = {An existence and localization theorem for the solutions of a Dirichlet problem},
journal = {Annales Polonici Mathematici},
volume = {83},
year = {2004},
pages = {107-112},
zbl = {1273.35110},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap83-2-2}
}
Giovanni Anello; Giuseppe Cordaro. An existence and localization theorem for the solutions of a Dirichlet problem. Annales Polonici Mathematici, Tome 83 (2004) pp. 107-112. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap83-2-2/