This paper deals with existence of a nontrivial positive solution to systems of equations involving nontrivial nonhomogeneous terms and critical or subcritical nonlinearities. Via a minimization argument we prove existence of a positive solution whose energy is negative provided that the nonhomogeneous terms are small enough in the dual norm.

中文翻译：

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涉及临界或亚临界非线性的非均匀系统

本文讨论了涉及非平凡非齐次项和临界或亚临界非线性的方程组的非平凡正解的存在。通过极小化的论证，我们证明存在正解的能量为负，前提是对偶范数中的非齐次项足够小。