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

We consider the problem View the MathML source−Δu+u=f(x,u)in Ω,∂u∂η=h(x)|u|q−2uon ∂Ω, Turn MathJax on 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.