Nonlinear elliptic equations with small BMO coefficients in nonsmooth domains in generalized Morrey spaces
Nonlinear elliptic equations with small BMO coefficients in nonsmooth domains in generalized Morrey spaces
We obtain the generalized Sobolev-Morrey spaces W 1 p,ϕ (Ω) estimate for weak solutions of a boundary value problem for nonlinear elliptic equations with BMO coefficients in nonsmooth domains.We investigate regularity of the weak solutions in generalized Morrey spaces M p,ϕ (Ω) .The nonlinearity has sufficiently small BMO seminorm and …