Clapp, MónicaPardo San Gil, Rosa MaríaPistoia, AngelaSaldaña, Alberto2023-06-172023-06-172020-12-220022-039610.1016/j.jde.2020.11.030https://hdl.handle.net/20.500.14352/7279We consider a slightly subcritical Dirichlet problem with a non-power nonlinearity in a bounded smooth domain. For this problem, standard compact embeddings cannot be used to guarantee the existence of solutions as in the case of power-type nonlinearities. Instead, we use a Ljapunov-Schmidt reduction method to show that there is a positive solution which concentrates at a non-degenerate critical point of the Robin function. This is the first existence result for this type of generalized slightly subcritical problems.engAtribución-NoComercial-SinDerivadas 3.0 Españahttps://creativecommons.org/licenses/by-nc-nd/3.0/es/journal articlehttps://doi.org/10.1016/j.jde.2020.11.030open access517Blow-up solutionsCritical Sobolev exponentLjapunov-Schmidt reductionAnálisis matemático1202 Análisis y Análisis Funcional