A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities
The authors obtain local a priori estimates and related nonexistence theorems for weak solutions of a wide class of quasilinear elliptic inequalities for not necessarily power nonlinearities in a framework which includes as special cases sub-elliptic structures and Carnot groups. Also, they study quasilinear elliptic inequalities associated to differential operators which satisfy some special hypotheses and without assuming the nonlinearities and the solutions have a prescribed sign. Finally, they present some well known facts in Carnot and Heisenberg groups and some examples of operators for which, their results for differential inequalities can be applied.
scientific article; zbMATH DE number 5712550
scientific article