Multiple solutions for a class of quasilinear elliptic problems with discontinuous nonlinearities and weights

作者：Wang Chengfu^*; Huang Yisheng

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 72(11): 4076-4081.

DOI：10.1016/j.na.2010.01.039

• Caffarelli-Kohn-Nirenberg type equation
• Nonsmooth Mountain Pass theorem
• Multiple solutions
• Variational methods

In this paper, using nonsmooth critical point theory, we study the existence of multiple solutions of the following class of problems:
{-div (vertical bar x vertical bar(-ap)vertical bar del u vertical bar(p-2)del u) is an element of lambda vertical bar x vertical bar(-(a+1)p+c)vertical bar f(-)(u),f(+)(u)vertical bar, x is an element of Omega,
u = 0, x is an element of partial derivative Omega,
where a, c, lambda and f(-), f(+) satisfy certain conditions.

• 出版日期2010-6-1
• 单位苏州大学; 宿州学院