2 research outputs found
Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth
Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth
In this paper we state some existence results for the semilinear elliptic equation −∆u(x) − λu(x) = W (x)f (u) where W (x) is a function possibly changing sign , f has a superlinear growth and λ is a positive real parameter. We discuss both the cases of subcritical and critical growth for f, and prove the existence of Linking type solutions
