Note on nontrivial solutions for a class of p-Laplacian systems

作者：Hai D D^*

来源：Journal of Mathematical Analysis and Applications, 2017, 452(2): 1388-1394.

DOI：10.1016/j.jmaa.2017.03.041

• p-Laplace systems
• Nontrivial solutions

We prove the existence of nonzero positive solutions of the p-Laplacian system
{-Delta(p)u(i) = f(i)(x,u) in Omega, i is an element of {1,..,n},
u(i) = 0 on partial derivative Omega,
where u = (u(1), .., u(n)), Delta(p)u(i) = div(vertical bar del u(i)vertical bar(p-2)del u(i)), p > 1, Omega is a bounded domain in R-n with smooth boundary partial derivative Omega, f(i), : Omega x R-+(n) -> R+ are allowed to be singular at x is an element of partial derivative Omega and satisfy some sublinear conditions. Our results improved previously known results in the literature.

• 出版日期2017-8-15