Existence of positive radial solutions of a class ofquasi-linear elliptic equation[left{egin{array}{l}-mbox{div}(|abla u|^{p-2}abla u)=f(|x|,u),;;xin Bu&0,;;xin Bu=0,;;xinpartial Bend{array}ight.] is obtained. Theexistence is obtained by constructing upper and lower solutions andemploying an approximation procedure. Throughout, our nonlinearityis allowed to change sign. The singularity may occur at (u=0) and(|x|=1).
展开▼
机译：一类拟线性椭圆方程的正径向解的存在性[left {egin {array} {l} -mbox {div}（| abla u | ^ {p-2} abla u）= f（| x |，u ），;;; xin B u> 0，;; xin B u = 0，;; xinpartial Bend {array} ight。]。存在性是通过构造上下解并采用近似程序来获得的。贯穿整个过程，我们的非线性被允许改变符号。奇异性可能发生在（u = 0）和（| x | = 1）处。
展开▼
