Elliptic equations in R with one-sided exponential growth
نویسندگان
چکیده
We consider elliptic equations in bounded domains Ω ⊂ R with nonlinearities which have exponential growth at +∞ (subcritical and critical growth respectively) and linear growth λ at −∞, with λ > λ1, the first eigenvalue of the Laplacian. We prove that such equations have at least two solutions for certain forcing terms; one solution is negative, the other one is sign-changing. Some critical groups and Morse index of these solutions are given. Also the case λ < λ1 is considered.
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تاریخ انتشار 2003