A solution to a slightly subcritical elliptic problem with non-power nonlinearity

Autor:	Clapp, Monica, Pardo, Rosa, Pistoia, Angela, Saldaña, Alberto
Rok vydání:	2020
Předmět:	Mathematics - Analysis of PDEs
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
Externí odkaz:	http://arxiv.org/abs/2006.16110 Zobrazit plný text záznamu View this record from Arxiv