# EXISTENCE OF THREE SOLUTIONS FOR A CLASS OF NAVIER QUASILINEAR ELLIPTIC SYSTEMS INVOLVING THE (p1, …, pn)-BIHARMONIC

Li, Lin

• Published : 2013.01.31
• 20 4

#### Abstract

In this paper, we establish the existence of at least three solutions to a Navier boundary problem involving the ($p_1$, ${\cdots}$, $p_n$)-biharmonic systems. We use a variational approach based on a three critical points theorem due to Ricceri [B. Ricceri, A three critical points theorem revisited, Nonlinear Anal. 70 (2009), 3084-3089].

#### Keywords

($p_1$, ${\cdots}$, $p_n$)-biharmonic;Navier condition;multiple solutions;three critical points theorem

#### References

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