Boundedness of the generalized solutions of elliptic equations with nonpower nonlinearities
The author considers the Dirichlet problem for quasilinear divergence form elliptic equations of second order in bounded domains. Under suitable growth conditions on the coefficients (such as non-power nonlinearity) using De Giorgi's techniques he proves boundedness of the generalized solutions of the problem. The paper extends previous results of De Giorgi, Nash, Moser, Ladyzhenskaya e.a.
scientific article; zbMATH DE number 4115110
scientific article