Biharmonic Systems Involving the Critical Nonlinearities and Rellich-Type Potentials
In this paper,a systems of biharmonic equations were studied,which involves mul-tiple critical Sobolev nonlinearities and different Rellich-Type terms.By variational methods,the existence of nontrivial solutions to the problem was established under some certain con-ditions,where the cofficients of Rellich-Type terms were functions.And for the first time,the related conclusions for the bihormonic equation were related to the systems of corresponding equation.
biharmonic elliptic systemsSobolev critical exponentRellich potentialcoeffi-cient of variation
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