Multiple solutions for a class of biharmonic equations with a nonlinearity concave at the origin

作者：Zhang Jian^*; Wei Zhongli

来源：Journal of Mathematical Analysis and Applications, 2011, 383(2): 291-306.

DOI：10.1016/j.jmaa.2011.05.030

• Biharmonic equation
• Nonlinearity concave at the origin
• Multiple solutions

In this paper, we investigate the existence of multiple solutions for a class of biharmonic equations where the nonlinearity involves a concave term at the origin. The solutions are obtained from the versions of mountain pass lemma and linking theorem.

• 出版日期2011-11-15
• 单位山东建筑大学; 山东大学