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Clapp, Mónica; Pardo, Rosa; Pistoia, Angela; Saldaña, Alberto
Journal of Differential Equations, 02/2021, Letnik: 275Journal Article
We 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.
