J4 ›› 2012, Vol. 47 ›› Issue (10): 116-120.
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ZHANG Shen-gui
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Abstract:
P(x)-biharmonic equation is an important model of differential equation from non-Newtonian fluid theory and nonlinear elasticity. In this paper, we investigate the existence of infinitely many solutions for p(x)-biharmonic equation by critical point theory. Under a condition weaker than Ambrosetti-Rabinowitz′s superlinear condition, some sufficient conditions for the existence of infinitely many solutions are obtained, and results improve the existing ones.
Key words: p(x)-biharmonic equation; superlinear; critical point
ZHANG Shen-gui. Infinitely many solutions for a class of superlinear p(x)-biharmonic equation[J].J4, 2012, 47(10): 116-120.
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http://lxbwk.njournal.sdu.edu.cn/EN/Y2012/V47/I10/116
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