Nontrivial Solutions for $p$-Laplace Equations via Morse Theory
- Nontrivial Solutions for $p$-Laplace Equations via Morse Theory
- 2018-05-28 16:00-16:00
By Morse theory, we study the existence and multiplicity of solutions for the p-Laplacian equation with a “concave” nonlinearity and a parameter. In our results, we do not need any additional global condition on the nonlinearities except for a subcritical growth condition. The talk is based on my joint work with Hongrui Cai and Mingzheng Sun.