A note on the variational structure of an elliptic systeminvolving critical Sobolev exponent

[摘要] We consider an elliptic system involving critical growthconditions. We develop a technique of variational methods forelliptic systems. Using the well-known results of maximumprinciple for systems developed by Fleckinger et al. (1995), wecan find positive solutions. Also, we generalize the systemsresults obtained (for the scalar case) by Brézis andNirenberg (1983). Also, we give applications to biharmonicequations.

[学科分类] 应用数学