In the study of problems of the type , conditions are generally imposed on the asymptotic behaviour of with respect to the spectrum of . To study the quasi-linear problems type, we introduce a notion of spectrum for that takes into account the dependence of the right-hand side with respect to the gradient. The object of this work is to define, study and apply this new notion of spectrum.

中文翻译：

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离散p-拉普拉斯算子的高阶谱和拟线性边界问题

在研究这类问题时，条件通常被强加在 的渐近行为上。为了研究准线性问题类型，我们引入了频谱的概念，因为它考虑了右手边相对于梯度的依赖性。这项工作的目的是定义、研究和应用这种新的频谱概念。