Infinitely Many Positive Solutions For The Nonlinear Kirchhoff Equations In R~3

In this thesis,we study the following Kirchhoff equation(?)where a,b>0,1<p<5,V(y)is a positive and radial function in R3.Assume that V(y)satisfies some suitable conditions,applying Lyapunov-Schmidt reduction method we prove the above problem has infinitely many non-radial positive solutions,whose energy can be made arbitrarily large.