Boundary behavior of large solutions to elliptic equations with nonlinear gradient terms

In this paper, we mainly study the asymptotic behavior of solutions to the following problems , where Omega is a bounded domain with a smooth boundary in , q > 0, is positive in Omega, and is nonnegative in Omega and may be vanishing on the boundary. We assume that f is I"-varying at a, whose variation at a is not regular. Our analysis is based on the sub-supersolution method and Karamata regular variation theory.Mathematics, AppliedSCI(E)EI1ARTICLE41283-13046