We consider a nonlinear, nonhomogeneous Dirichlet problem with reaction which is asymptotically superlinear at $+\infty$ and sublinear at $-\infty$. Using minimax methods together with suitable truncation techniques and Morse theory, we show that the problem has at least three nontrivial solutions one of which is negative.
|Number of pages||19|
|Journal||Nonlinear Analysis: Real World Applications|
|Publication status||Published - 2016|
All Science Journal Classification (ASJC) codes
- Economics, Econometrics and Finance(all)
- Computational Mathematics
- Applied Mathematics