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Let (f1 - f4) hold, then problem (P) enjoys a sequence of nontrivial solutions ({u_{m}}) with (|u_{m}|_{infty}rightarrow0) as (mrightarrowinfty).
Therefore, from the above discussion we can see that the original problem (P) also enjoys a sequence of nontrivial solutions ({ u_{m}}) satisfying (|u_{m}|_{infty}rightarrow0), as (mrightarrowinfty).
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