Il'yasov, Yavdatda Silva, Edcarlos Domingosda Silva, Maxwell Lizete2023-05-232023-05-232023-03-04Il'yasov, Y., da Silva, E. D., & da Silva, M. L. (2023). Prescribed energy saddle-point solutions of nonlinear indefinite problems. <i>Electronic Journal of Differential Equations, 2023</i>(23), pp. 1-11.1072-6691https://hdl.handle.net/10877/16858A minimax variational method for finding mountain pass-type solutions with prescribed energy levels is introduced. The method is based on application of the Linking Theorem to the energy-level nonlinear Rayleigh quotients which critical points correspond to the solutions of the equation with prescribed energy. An application of the method to nonlinear indefinite elliptic problems with nonlinearities that does not satisfy the Ambrosetti-Rabinowitz growth conditions is also presented.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalIndefinite problemsLinking theoremsRayleigh quotientArticle