Existence of positive solutions for some nonlinear elliptic equations on unbounded domains with cylindrical ends Original Research Article

In this paper, we study the existence of positive solutions to nonlinear elliptic boundary value problems on unbounded domains View the MathML source with cylindrical ends for a general nonlinear term f(u) including View the MathML source as a typical example: View the MathML source by using the mountain pass approach. The geometry of ω plays an important role in our analysis.