In this paper we consider a nonlinear hyperbolic boundary value problem. We show that this problem admits weak solutions by using a lifting result for pseudomonotone operators and a surjectivity result concerning coercive and monotone operators.
@article{118945,
author = {Dimitrios A. Kandilakis},
title = {Pseudomonotonicity and nonlinear hyperbolic equations},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {38},
year = {1997},
pages = {463-469},
zbl = {0940.35123},
mrnumber = {1485068},
language = {en},
url = {http://dml.mathdoc.fr/item/118945}
}
Kandilakis, Dimitrios A. Pseudomonotonicity and nonlinear hyperbolic equations. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) pp. 463-469. http://gdmltest.u-ga.fr/item/118945/
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