An end point Orlicz type estimate for nonlinear elliptic equations

Multiple solutions for quasilinear elliptic problems with concave-convex nonlinearities in Orlicz–Sobolev spaces

“…Divergence operators -div(a(|∇u|)|∇u|) involved in problem (1.1) are more general than p-Laplacian operators, please see [12][13][14][15][16][17][18][19][20][21][22]. Such operators have been intensively studied due to numerous and relevant applications in many fields such as plasticity [23], eletrorheological fluids [24], image processing [25].…”