Orlicz-Sobolev versus Holder local minimizer and multiplicity results for quasilinear elliptic equations

Tan Zhong, Fang Fei

We study the following boundary value problem (P)\ \ \ \ \ {-\mathrm{div}(a(|\nabla u|)\nabla u)=f(x,u),\ & in $\Omega$, u=0, & on $\partial \Omega$} with nonhomogeneous principal part. By as…