We investigate the solvability of the Neumann problem (1.1) involving a critical Sobolev exponent and lower order perturbations in bounded domains. Solutions are obtained by min max methods based on a topological linking. A nonlinear perturbation of a lower order is allowed to interfere with the spectrum of the operator -Δ with the Neumann boundary conditions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-2-6,
author = {Jan Chabrowski and Bernhard Ruf},
title = {On the critical Neumann problem with lower order perturbations},
journal = {Colloquium Mathematicae},
volume = {107},
year = {2007},
pages = {225-246},
zbl = {1206.35036},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-2-6}
}
Jan Chabrowski; Bernhard Ruf. On the critical Neumann problem with lower order perturbations. Colloquium Mathematicae, Tome 107 (2007) pp. 225-246. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-2-6/