| Abstract: |
| In this talk, we report some recent results on the sign-changing solutions of fractional p-Laplacian problems. By applying the method of invariant sets of descending flow and minimax theory,
we obtain the existence and multiplicity of sign-changing solutions of the fractional p-Laplacian problems. In addition, by using the Nehari manifold method, we prove that the problem admits one least energy sign-changing solution, and its energy exceeds twice the least energy solutions.
This work is joint with Prof. Zhi-Qiang Wang and Prof. Zhaohu Nie. |
|