We consider a Robin problem driven by a nonlinear, nonhomogeneous differential operator and a reaction term which depends on the gradient. Using a topological approach based on the Leray–Schauder Alternative Principle, we show the existence of a weak solution.

中文翻译：

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具有梯度依赖反应的非线性非齐次Robin问题

我们考虑由非线性，非齐次微分算子和依赖于梯度的反应项驱动的Robin问题。使用基于Leray-Schauder替代原理的拓扑方法，我们证明了弱解的存在。