We prove an existence result for a semilinear elliptic equation with superlinear and asymmetric nonlinearity. The asymmetry that we consider is of the type: linear at $-\infty$ and superlinear at $+\infty$. To obtain these results we apply a Linking Theorem.
"Critical Neumann problems with asymmetric nonlinearity." Topol. Methods Nonlinear Anal. 56 (1) 117 - 127, 2020. https://doi.org/10.12775/TMNA.2019.120