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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:381

Article

Pellacci, Benedetta²  Squassina, Marco¹ 

[1] Univ Verona, Dipartimento Informat, I-37134 Verona, Italy

[2] Univ Napoli Parthenope, Dipartimento Sci Appl, I-80143 Naples, Italy

关键词: Non-smooth critical point theory;    Monotonicity trick;    Palais-Smale condition;   

DOI  :  10.1016/j.jmaa.2011.04.014

来源: Elsevier

【 摘 要 】

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. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free