Some existence theorems for semilinear Neumann problems with Landesman-Lazer condition revisited | Zendy

Sheng Ma | Zendy; Zhihua Hu | Zendy; Jing Jin | Zendy; Qin Jiang | Zendy

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Some existence theorems for semilinear Neumann problems with Landesman-Lazer condition revisited

Author(s) -

Sheng 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.

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