RT Journal Article
T1 A solution to a slightly subcritical elliptic problem with non-power nonlinearity
A1 Clapp, Mónica
A1 Pardo San Gil, Rosa María
A1 Pistoia, Angela
A1 Saldaña, Alberto
AB 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.
PB Elsevier
SN 0022-0396
YR 2020
FD 2020-12-22
LK https://hdl.handle.net/20.500.14352/7279
UL https://hdl.handle.net/20.500.14352/7279
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO Universidad Complutense de Madrid/Banco de Santander
DS Docta Complutense
RD 11 abr 2025