Nodal solutions for noncoercive nonlinear Neumann problems with indefinite potential

Autor:	Yehui Huang, Youfa Lei, Kaihao Liang, Tieshan He
Rok vydání:	2017
Předmět:	010101 applied mathematics Nonlinear system Flow (mathematics) Applied Mathematics 010102 general mathematics Mathematical analysis Neumann boundary condition Indefinite sum 0101 mathematics Balanced flow Differential operator 01 natural sciences Mathematics
Zdroj:	Applied Mathematics Letters. 71:67-73
ISSN:	0893-9659
Popis:	We consider a nonlinear Neumann problem driven by a nonhomogeneous differential operator and an indefinite potential. Using variational methods together with flow invariance arguments, we show that the problem has at least one nodal solution. The result presented in this paper gives an answer to the open question raised by Papageorgiou and Radulescu (2016).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5ba84a7c4a06200648e96cebb2a633eb https://doi.org/10.1016/j.aml.2017.03.015 Zobrazit plný text záznamu Full Text from ScienceDirect