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In this paper, we investigate the existence of ground state solutions andnon-existence of non-trivial weak solution of biharmonic equation with somenonlocal terms and critical Sobolev exponent. Firstly, we prove thenon-existence by establishing Pohozaev type of identity. Next, we study theexistence of ground state solutions by using the minimization method on theassociated Nehari manifold.

A study of biharmonic equation involving nonlocal terms and critical Sobolev exponent