BIHARMONIC SYSTEMS INVOLVING MULTIPLE RELLICH TYPE POTENTIALS AND CRITICAL RELLICH SOBOLEV NONLINEARITIES

摘要

In this paper, the minimizers of a Rellich Sobolev constant are firstly investigated. Secondly, a system of biharmonic equations is investigated, which involves multiple Rellich type terms and strongly coupled critical Rellich Sobolev terms. The existence of nontrivial solutions to the system is established by variational arguments.