论文标题
非线性特征值问题的分叉结果涉及（p，q） - 拉普拉斯操作员
Bifurcation results for nonlinear eigenvalue problems involving the (p,q)-Laplace operator
论文作者
论文摘要
在本文中，我们分析了在开放的平滑界域中涉及均匀dirichlet边界条件的非线性椭圆算子的特征值问题。我们证明了琐碎的解决方案的分叉结果，而无穷大则是对非线性特征值问题的分叉结果。我们还使用变异方法展示了非线性问题的多个解决方案的存在。
In this paper, we analyze an eigenvalue problem for nonlinear elliptic operators involving homogeneous Dirichlet boundary conditions in a open smooth bounded domain. We prove bifurcation results from trivial solutions and from infinity for the considered nonlinear eigenvalue problem. We also show the existence of multiple solutions of the nonlinear problem using variational methods.
