We investigate the existence of positive solutions for the following class of nonlinear elliptic problems [operatorname{div}(a(|x|)abla u(x))+f(x,u(x))-(u(x))^{-lpha}|abla u(x)|^{eta}+g(|x|)xcdotabla u(x)=0,] where $xinmathbb{R}^{n}$ and $|x|>R,$ with the condition $lim_{|x|ightarrowinfty}u(x)=0$. We present the approach based on the subsolution and supersolution method for bounded subdomains and a certain convergence procedure. Our results cover both sublinear and superlinear cases of $f$. The speed of decaying of solutions will be also characterized more precisely.
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机译：我们调查以下类非线性椭圆问题 [ operatorname {div}（a（ | x |） nabla u（x））+ f（x，u（x））-（ u（x））^ {- alpha} | nabla u（x） | ^ { beta} + g（ | x |）x cdot nabla u（x）= 0，]其中$ x in mathbb {R} ^ {n} $和$ | x |> R，$，条件为$ lim _ { | x | rightarrow infty} u（x）= 0 $。我们提出了基于有界子域的子解和超解法的方法以及一定的收敛过程。我们的结果包括$ f $的亚线性和超线性情况。溶液的衰减速度也将得到更精确的表征。
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