Existence of radially symmetric positive solutions for a general class of quasi linear elliptic equations in the zero mass situation is proven. Our results include ground-state solutions for both power-type and exponential-type critical growths in the whole space and the class concerned includes, as particular cases, the Laplace, p-Laplace and k-Hessian operators in radial form.

中文翻译：

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关于一类具有零质量的退化拟线性椭圆方程

证明了一类一般类拟线性椭圆方程在零质量情况下径向对称正解的存在性。我们的结果包括整个空间中幂型和指数型临界增长的基态解决方案，相关类别包括，作为特定情况，径向形式的拉普拉斯、 p-拉普拉斯和k -Hessian 算子。