Open AccessSome existence theorems for semilinear Neumann problems with Landesman-Lazer condition revisited
Author(s) -
Shenglin Ma,
Zhihua Hu,
Jing Jin,
Qin Jiang
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2002339m
Subject(s) - mathematics , saddle point , von neumann architecture , neumann boundary condition , pure mathematics , eigenvalues and eigenvectors , mathematical analysis , saddle , boundary value problem , geometry , mathematical optimization , physics , quantum mechanics
In this paper, existence theorems are established for Neumann problems for semilinear elliptic equations at resonance together with Landesman-Lazer condition revisited. Our existence results follow as an application of the Saddle point Theorem together with a standard eigenspace decomposition.