Article

Mountain pass solutions for quasi-linear equations via a monotonicity trick

Journal of Mathematical Analysis and Applications (Impact Factor: 1.05). 03/2011; 381(2). DOI: 10.1016/j.jmaa.2011.04.014
Source: arXiv

ABSTRACT We obtain the existence of mountain pass solutions for quasi-linear equations
without the typical assumptions which guarantee the boundedness of an arbitrary
Palais-Smale sequence. This is done through a recent version of the
monotonicity trick proved by the second author. The main results are new also
for the p-Laplacian operator.

0 Bookmarks
 · 
96 Views

Full-text (2 Sources)

View
27 Downloads
Available from
May 20, 2014