%0 Journal Article
%A Clapp, Mónica
%A Pardo San Gil, Rosa
%A Pistoia, Angela
%A Saldaña, Alberto
%T A solution to a slightly subcritical elliptic problem with non-power nonlinearity
%D 2020
%@ 0022-0396
%U https://hdl.handle.net/20.500.14352/7279
%X 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.
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