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Biharmonic systems involving multiple Rellich-type potentials and critical Rellich-Sobolev nonlinearities

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  • 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.

    Mathematics Subject Classification: Primary:35J60, 31B30;Secondary:35B33, 35B25.


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