论文标题
分数p-laplacian的分叉型与参数非线性反应的结果
Bifurcation-type results for the fractional p-Laplacian with parametric nonlinear reaction
论文作者
论文摘要
我们研究了由退化的分数p-laplacian驱动的差异问题，并涉及非线性反应，该反应取决于正参数。假定该反应是（p-1） - 公共性，在无穷大（包括凹形凸案例）处附近（P-1） - 佩皮林。遵循基于临界点理论和合适截断技术的组合的变分方法，我们证明了存在阳性溶液的分叉型结果。
We study a Dirichlet problem driven by the degenerate fractional p-Laplacian and involving a nonlinear reaction, which depends on a positive parameter. The reaction is assumed to be (p-1)-sublinear near the origin and (p-1)-superlinear at infinity (including the concave-convex case). Following a variational approach based on a combination of critical point theory and suitable truncation techniques, we prove a bifurcation-type result for the existence of positive solutions.
