In this paper we state some existence results for the semilinear elliptic equation -Deltau(x) - lambdau(x) = W(x)f(u) where W(x) is a function possibly changing sign, f has a superlinear growth and lambda 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(4), 703-718.
Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth
MATZEU, MICHELE
2001-01-01
Abstract
In this paper we state some existence results for the semilinear elliptic equation -Deltau(x) - lambdau(x) = W(x)f(u) where W(x) is a function possibly changing sign, f has a superlinear growth and lambda 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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