eduzhai > Physical Sciences > Physics Sciences >

Existence of Infinitely Many High Energy Solutions for a Fourth-Order Kirchhoff Type Elliptic Equation in R3

  • Save

... pages left unread,continue reading

Document pages: 10 pages

Abstract: In this paper, we consider the following fourth-order equation of Kirchhoff type where a, b > 0 are constants, 3 p V ∈ C (R3, R); Δ2: = Δ (Δ) is the biharmonic operator. By using Symmetric Mountain Pass Theorem and variational methods, we prove that the above equation admits infinitely many high energy solutions under some sufficient assumptions on V (x). We make some assumptions on the potential V (x) to solve the difficulty of lack of compactness of the Sobolev embedding. Our results improve some related results in the literature.

Please select stars to rate!

         

0 comments Sign in to leave a comment.

    Data loading, please wait...
×