Existence Of Solutions For A Class Of Neumann-Steklov Resonance Problem

We consider the existence of elliptic equations with nonlinear biund-ary conditions where Ω is the bounded region of RN(N≥2).n is the outward normal of (?)Ω.The function c:Ω→R and the nonlinear terms f(x,t)∈C((?)×R),g(x,t)∈C((?)Ω×R)satisfy some conditions.Firstly, using the notion of eigenvalue-lines,we discuss the existence of problem(P1)in the regions N1={(λ,μ)∈R2:λ=λ≤λ1, μ≤0)and N2={(入,μ)∈R2:λ≤0,μ≤μ1｝by minimax methods. At last,using the Saddle Point Theorem,we discuss the existence of problem(P1)on the eigenvalue-lines...