论文标题
带有可变双相和多重制度的车道填充方程
The Lane-Emden equation with variable double-phase and multiple regime
论文作者
论文摘要
我们关注的是具有可变指数和差异边界条件的车道填充方程的研究。本文的特征是,我们进行的分析并不假设任何亚临界假设,并且反应可以实现混合制度(亚临界,批判性和超临界)。我们考虑径向和非放射案例以及单数环境。这些证明将变异和分析方法与对称临界的宫殿原理的版本结合在一起。
We are concerned with the study of the Lane-Emden equation with variable exponent and Dirichlet boundary condition. The feature of this paper is that the analysis that we develop does not assume any subcritical hypotheses and the reaction can fulfill a mixed regime (subcritical, critical and supercritical). We consider the radial and the nonradial cases, as well as a singular setting. The proofs combine variational and analytic methods with a version of the Palais principle of symmetric criticality.