标题： 一种自由边界类型的Lane-Emden系统：解的存在性、唯一性和单调性 显示英文标题

标题： A Lane-Emden system of free boundary type: existence, uniqueness and monotonicity of solutions

摘要： 我们考虑一个自由边界类型的哈密顿系统，首先给出解和自由边界的统一界和存在性。 然后，对于任何光滑且有界的区域，我们在合适的区间内证明正解的唯一性，并表明相关的能量和边界值具有单调行为。 关于一类超线性强耦合椭圆系统的无界Rabinowitz连续体的参数化，讨论了一些后果。 显示英文摘要

摘要： We consider a Hamiltonian system of free boundary type, showing first uniform bounds and existence of solutions and of the free boundary. Then, for any smooth and bounded domain, we prove uniqueness of positive solutions in a suitable interval and show that the associated energies and boundary values have a monotonic behavior. Some consequences are discussed about the parametrization of the unbounded Rabinowitz continuum for a class of superlinear strongly coupled elliptic systems.