MULTIPLE SOLUTIONS FOR A CLASS OF (p(1), . . . , p(n))-BIHARMONIC SYSTEMS

作者：Graef John R^*; Heidarkhani Shapour; Kong Lingju

来源：Communications on Pure and Applied Analysis, 2013, 12(3): 1393-1406.

DOI：10.3934/cpaa.2013.12.1393

• Three solutions
• critical points
• variational methods
• (p(1), . . . , p(n))-biharmonic systems
• multiplicity results

In this paper, the authors prove the existence of at least three weak solutions for the (p(1), . . . ,p(n))- biharmonic system
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The main tool is a recent three critical points theorem of Averna and Bonanno (A three critical points theorem and its applications to the ordinary Dirichlet problem, Topol. Methods Nonlinear Anal. 22 (2003), 93-104).

• 出版日期2013-5