On a quasilinear analog of Gidas-Spruck theorem

Abstract

Theorems on nonexistence of global solutions are proved for elliptic inequalities and systems containing the second powers of the unknown functions under the assumption of the continuity of the coefficients at the principal nonlinear part. In the case of constant coefficients, the critical value of the parameter, such that the nonexistence does not take place for its larger values, is found.