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

作者：Pellacci Benedetta; Squassina Marco^*

来源：Journal of Mathematical Analysis and Applications, 2011, 381(2): 857-865.

DOI：10.1016/j.jmaa.2011.04.014

• Non-smooth critical point theory
• Monotonicity trick
• Palais-Smale condition

We obtain the existence of symmetric 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 in Squassina (in press) [22]. The main results are new also for the p-Laplacian operator.

• 出版日期2011-9-15