We consider some p‐Laplacian type equations with sum of nonlocal term and subcritical nonlinearities. We prove the existence of the ground states, which are positive. Because of including p=2, these results extend the results of Li, Ma and Zhang [Nonlinear Analysis: Real World Application 45(2019) 1‐25]. When p=2, N=3, by a variant variational identity and a constraint set, we can prove the existence of a non‐radially symmetric solution. Moreover, this solution u(x₁, x₂, x₃) is radially symmetric with respect to (x₁, x₂) and odd with respect to x₃.

中文翻译：

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涉及Choquard类型的p-Laplacian方程的非径向对称基态的存在

我们考虑一些带有非局部项和亚临界非线性之和的p-Laplacian型方程。我们证明存在基态是肯定的。由于包含p = 2，因此这些结果扩展了Li，Ma和Zhang的结果[非线性分析：Real World Application 45（2019）1-25]。当p = 2，N = 3时，通过变分恒等式和约束集，我们可以证明存在非径向对称解。此外，该解u（X ₁，X ₂，X ₃）是相对于（径向对称的X ₁，X ₂）和奇相对于X₃。