Multiple solutions for a semilinear problem with combined terms and nonlinear boundary conditions

We consider the problem −Δu+u=f(x,u)in Ω,∂u∂η=h(x)|u|q−2uon ∂Ω, where Ω⊂RNΩ⊂RN is a smooth bounded domain, N≥3N≥3, 1≤q<21≤q<2 and hh belongs to an appropriated Lebesgue space. In our main results, we suppose that ff is an asymptotically linear function and we obtain multiplicity of solutions when the norm of hh is small. We also present a multiplicity result in the case that ff is nonquadratic at infinity.