Existence and asymptotic behavior of solutions for a class of nonlinear elliptic equations with Neumann condition Original Research Article

In this paper, we study the existence of nonconstant solutions uεuε and their asymptotic behavior (as ε→0+ε→0+) for the following class of nonlinear elliptic equations in radial form: View the MathML source-ε2(rα|u′|βu′)′=rγf(u)in(0,R),u′(0)=u′(R)=0, Turn MathJax on where α,β,γα,β,γ are given real numbers and 0