J4 ›› 2012, Vol. 47 ›› Issue (10): 116-120.

• Articles • Previous Articles     Next Articles

Infinitely many solutions for a class of superlinear p(x)-biharmonic equation

ZHANG Shen-gui   

  1. College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, Gansu, China
  • Received:2011-11-05 Online:2012-11-20 Published:2012-10-26

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

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