A critical p-biharmonic system with negative exponents

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Abstract

In this paper, we are devoted to the study of critical p-biharmonic system with a parameter λ, which involves strongly-coupled critical nonlinearities and negative exponents. We prove that there exists a positive constant λ such that the above problem admits at least two solutions if λ(0,λ).

Keywords

p-biharmonic system
Negative exponents
Sobolev critical constant
Extremal function
Variational method

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