Oscillation of damped PDE with p-Laplacian in unbounded domains

作者：Xu; Zhiting

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 72(5): 2277-2289.

DOI：10.1016/j.na.2009.10.028

• Oscillation
• PDE with p-Laplacian
• Damped
• Unbounded domains

In this paper, new oscillation theorems for the damped partial differential equation (PDE) with p-Laplacian
div(A(x) parallel to del u parallel to(p-2)del u) <(b) over right arrow (x). parallel to del u parallel to(p-2)del u > c(x)vertical bar u vertical bar(p-2)u = 0
are established in unbounded domains. Our theorems as two special cases when A equivalent to I or A equivalent to I, (b) over right arrow (x) equivalent to 0 improve and complement some existing results in the literature. To illustrate our main results, we give some corollaries and examples.

• 出版日期2010-3-1
• 单位华南师范大学