Abstract
We consider a semilinear elliptic problem with Robin boundary condition and an indefinite and unbounded potential. The reaction term is a Carathéodory function exhibiting linear growth near ±∞. We assume that double resonance occurs with respect to any positive spectral interval. Using variational tools and critical groups, we show that the problem has a nontrivial smooth solution.
Lingua originale | English |
---|---|
pagine (da-a) | 122-128 |
Numero di pagine | 7 |
Rivista | Applied Mathematics Letters |
Volume | 68 |
Stato di pubblicazione | Published - 2017 |
All Science Journal Classification (ASJC) codes
- ???subjectarea.asjc.2600.2604???