Multiple solutions for a class of nonlinear elliptic problems with a p-Laplacian type operator

作者：Huang, Yisheng^*; Zhou, Yuying

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 72(7-8): 3388-3395.

DOI：10.1016/j.na.2009.12.020

• Generalized gradient
• Nonsmooth Mountain Pass Theorem
• p-Laplacian type operator
• Multiple solutions

In this paper, we obtain the existence of at least two solutions for a nonlinear elliptic problem on unbounded domains involving a p-Laplacian type operator and nonsmooth potentials. Our approach is variational and it is based on the nonsmooth critical point theory for locally Lipschitz functions.

• 出版日期2010-4-1
• 单位苏州大学