Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth
M. Grossi - Dip. di Matematica, Università di Roma "La Sapienza", P.le A.Moro 2 - 00185 - Roma, Italy (email)
Abstract: In this paper we state some existence results for the semilinear elliptic equation $-\Delta u(x)-\lambda u(x) = W(x)f(u)$ 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.
Keywords: Critical exponent, linking type critical points, potential changing sign.
Received: November 2000; Revised: March 2001; Published: July 2001.
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