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

Journal of Mathematical Analysis and Applications (Impact Factor: 1.12). 03/2011; 381(2). DOI: 10.1016/j.jmaa.2011.04.014
Source: arXiv


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.

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