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Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth

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  • 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.
    Mathematics Subject Classification: 35J65, 35J20, 35J25.


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