Prescribed energy saddle-point solutions of nonlinear indefinite problems

[摘要] A 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 prescribedenergy. An application of the method to nonlinear indefinite ellipticproblems with nonlinearities that does not satisfy theAmbrosetti-Rabinowitz growth conditions is also presented.

[学科分类] 数学（综合）

[关键词] Indefinite problems;linking theorems;Rayleigh quotient