Costa, David G.Guo, YuxiaRamos, Miguel2020-07-152020-07-152002-03-04Costa, D. G., Guo, Y., & Ramos, M. (2002). Existence and multiplicity results for nonlinear elliptic problems in RN with an indefinite functional. <i>Electronic Journal of Differential Equations, 2002</i>(25), pp. 1-15.1072-6691https://hdl.handle.net/10877/12089We prove the existence of a nontrivial solution for the nonlinear elliptic problem -∆u = λh(x)u + α(x)g(u) in ℝN, where g is superlinear near zero and near infinity, α(x) changes sign, λ is positive, and h(x) ≥ 0 is a weight function. For g odd, we prove the existence of an infinite number of solutions.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalSuperlinear elliptic problemsMorse indexMinimax methodsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.