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This paper deals with a class of Kirchhoff type elliptic Dirichlet boundary value problems where the combined effects of Kirchhoff term and nonlinear term allow us to establish a bifurcation-type result as the positive parameter varies.

In order to broaden the application range, PEEK has been modified by 1064nm-wavelength pulse laser, then deposited with Ni-P alloys by electroless plating. The properties of metal layers on PEEK were characterized by SEM, resistance tester and metallographic microscope, respectively. When the laser energy density is relatively low (Q10J·cm-2), of which the surface resistance of the coating is less than 20 mΩ. In this paper, the interaction mechanism of the pulse laser on PEEK has been studied and the metals on the PEEK have been prepared under the laser-induced effect, which provides technical support for the future application of PEEK in aviation with aerospace fields, such as, radar and antenna.