论文标题
涉及$ p（x）$ - laplacian方程的解决方案的存在和多样性：关于两个非局部术语的效果
Existence and multiplicity of solutions involving the $p(x)$-Laplacian equations: On the effect of two nonlocal terms
论文作者
论文摘要
我们研究了很少研究的$ P（x）$ - Kirchhoff问题，因为非线性具有非标准性增长，并且包含双焦点术语。基于变异方法，尤其是山区通过定理和Ekeland的各种原理，我们在某些假设下获得了两个非平凡的解决方案。我们还应用对称的山间通过定理和克拉克定理，以确定无限多种解决方案的存在。我们的结果概括并扩展了几个现有结果。
We study a class of $p(x)$-Kirchhoff problems which is seldom studied because the nonlinearity has nonstandard growth and contains a bi-nonlocal term. Based on variational methods, especially the Mountain pass theorem and Ekeland's variational principle, we obtain the existence of two nontrivial solutions for the problem under certain assumptions. We also apply the Symmetric mountain pass theorem and Clarke's theorem to establish the existence of infinitely many solutions. Our results generalize and extend several existing results.
