A solution to a slightly subcritical elliptic problem with non-power nonlinearity
Autor: | Clapp, Monica, Pardo, Rosa, Pistoia, Angela, Saldaña, Alberto |
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Rok vydání: | 2020 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. Comment: 25 pages |
Databáze: | arXiv |
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