Solvability of a Sublinear Elliptic Partial Differential Equation at Resonance |
Received:January 03, 1994 |
Key Words:
elliptic partial differential equation resonance Landesman-Lazer condition.
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Abstract: |
This paper deals with the following elliptic partial differential equation at resonance Δu+λ1u+g(x,u)=0,x∈Ω;u|?Ω=0, where Ω?Rn is a bounded open set with smooth boundary and g(x,u) meets the following condition |g(x,u)|≤c|u|α+b(x) (0≤α<1,b(x)∈L2(Ω)). We propose a condition which is not the standard Landesman Lazer condition and answer partially a question by Figueiredo and Massabò. |
Citation: |
DOI:10.3770/j.issn:1000-341X.1996.03.017 |
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