Abstract We consider a nonlinear elliptic equation driven by the (p, q)–Laplacian plus an indefinite potential. The reaction is (p − 1)–superlinear and the boundary term is parametric and concave. Using variational tools from the critical point theory together with truncation, perturbation and comparison techniques and critical groups, we show that for all small values of the parameter, the problem has at least five nontrivial smooth solutions, all with sign information and which are linearly ordered.

中文翻译：

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超线性 (p, q) 的恒符号和节点解——具有不定势和凹边界项的方程

摘要 我们考虑由 (p, q)-Laplacian 加上不定势驱动的非线性椭圆方程。反应是 (p − 1)-超线性，边界项是参数和凹的。使用临界点理论中的变分工具以及截断、微扰和比较技术以及临界组，我们表明对于参数的所有小值，问题至少有五个非平凡的光滑解，所有解都带有符号信息并且是线性排序的.