Solvability of Elliptic Boundary Value Problems without Standard Landesman-Lazer Condition |
| |
Authors: | Zhiqing Han |
| |
Institution: | (1) Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China |
| |
Abstract: | Abstract
In this paper we prove a very general result concerning solvability of the resonant problem: Δu + λκ
u + g(x, u) = h (x); u = 0, x ∈∂Ω, which immediately gives three generalized Landesman-Lazer conditions. The most interesting application of the general
result is concerned with the problem when λκ = λ1, in which case we prove solvability results for it under conditions which are not the standard Landesman-Lazer condition
or only partly enjoy it. Furthermore, we propose a new sign condition and give a comprehensive extension of a main result
of Figueiredo and Ni. |
| |
Keywords: | Elliptic boundary value problems Leray-Schauder degree continuation method Landesman-Lazer condition Semi-Landesman-Lazer conditions Sign condition |
本文献已被 SpringerLink 等数据库收录! |
|