A Generalization Of Concentration-Compactness Principle And Its Applications In Problems With Critical Growth

In this paper,the recent achievements of a non-trivial solution in p-Laplace problemswith critical growth are related. Then, we give a more general Concentration-Compactnessprinciple and use it to consider the existence of a non-trivial solution for the p-Laplace-Like and weighted p-Laplace problems with critical growth. Moreover, the regurility ofthe solution is discussed.