Blow-up phenomena in semilinear elliptic partial differential equations

这个项目将解决半线性椭圆型偏微分方程中的重要问题。它将决定……的存在、多样性、对称性破坏和集中现象。 半线性偏微分方程解。半线性方程的解的渐近行为具有巨大的潜在影响，在这些领域中，微分方程可以应用于简单的机械系统，以及建立和多样化的自然现象，如悬索桥，星系和数学生物学问题。

This project will address important questions in semilinear elliptic partial differential equations. It will determine the existence, multiplicity, breaking of symmetry, and concentration phenomena of solutions of semilinear partial differential equations. The asymptotic behaviour of solutions in semilinear equations has enormous potential to impact on fields in which differential equations can be applied to simple mechanical systems, and built and diverse natural phenomena such as suspension bridges, galaxies and mathematical biology problems.