Robin problems with general potential and double resonance


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… (More)
DOI: 10.1016/j.aml.2017.01.003