Abstract An existence result for Neumann elliptic systems with singular, convective, sign-changing, arbitrarily growing reactions is established. Proofs are chiefly based on sub-super-solution and truncation techniques, nonlinear regularity theory, and fixed point arguments. As a consequence, infinitely many solutions are obtained through appropriate sequences of sub-super-solution pairs.

中文翻译：

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具有任意增长反应的奇异对流诺依曼系统的无穷多解

摘要 建立了具有奇异、对流、符号变化、任意增长反应的诺依曼椭圆系统的存在性结果。证明主要基于子超解和截断技术、非线性规律理论和不动点论证。因此，通过适当的子超解对序列可以获得无限多个解。