一类带有不同Rellich项的临界双调和方程组的非平凡解

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Biharmonic Systems Involving Critical Nonlinearities and Different Rellich-Type Potentials

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Abstract: In this paper, a system of biharmonic equations is investigated, which involves multiple critical Sobolev nonlinearities and different Rellich-type terms. The minimizers of the related best Soblev constant are found under certain assumptions and the existence of solutions to the system is established by variational arguments.

Key words: Biharmonic system, Solution, Critical exponent, Rellich potential, Variational method

CLC Number:

O175.25

Kang Dongsheng, Xiong Ping. Biharmonic Systems Involving Critical Nonlinearities and Different Rellich-Type Potentials[J].Acta mathematica scientia,Series A, 2017, 37(6): 1105-1118.

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