Multiple solutions for p-harmonic type equations

作者：Deng Yinbin^*; Pi Huirong

来源：Nonlinear Analysis-Theory Methods & Applications, 2009, 71(10): 4952-4959.

DOI：10.1016/j.na.2009.03.067

• p-Harmonic operator
• (p-1)-Sublinear growth
• Critical points
• multiple solutions

In this paper, we establish the existence of multiple solutions for an equation involving a p-harmonic operator, subject to Dirichlet boundary conditions in a bounded smooth open domain of RN, while the nonlinearity has a (p-1)-sublinear growth at infinity. Using a three critical points theorem, we prove the existence of at least three distinct weak solutions in W(0)(2,p)(Omega) to this problem.

• 出版日期2009-11-15
• 单位华中师范大学