A remark on the existence of entire large and bounded solutions to a (k (1), k (2))-Hessian System with Gradient Term

作者：Covei Dragos Patru^*

来源：Acta Mathematica Sinica-English Series, 2017, 33(6): 761-774.

DOI：10.1007/s10114-017-6291-3

• Entire solution
• large solution
• elliptic system

In this paper, we study the existence of positive entire large and bounded radial positive solutions for the following nonlinear system
{Sk(1) (lambda(D(2)u(1))) + a(1) (broken vertical bar x broken vertical bar) broken vertical bar del u(1)broken vertical bar(k1) = p(1) (broken vertical bar x broken vertical bar) f(1) (u(2)) for x is an element of R-N,
Sk(2) (lambda(D(2)u(2)))+ a(2) (broken vertical bar x broken vertical bar) broken vertical bar del u(2)broken vertical bar(k2) = p(2) (broken vertical bar x broken vertical bar) f(2) (u(1)) for x is an element of R-N.
Here Sk(i) (lambda(D(2)u(i))) is the k(i)-Hessian operator, a(1), p(1), f(1), a(2), p(2) and f(2) are continuous functions.

• 出版日期2017-6