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arXiv:1103.0163 [math.AP]AbstractReferencesReviewsResources

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

Benedetta Pellacci, Marco Squassina

Published 2011-03-01Version 1

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.

Comments: 12 pages
Categories: math.AP
Subjects: 35B06, 58E05
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