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.
Grossi, M., Magrone, P., Matzeu, M. (2001). Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 7, 703-718.
Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth
MAGRONE, Paola;
2001-01-01
Abstract
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.File in questo prodotto:
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