A compact support principle for a class of elliptic differential inequalities Original Research Article

In this paper, we establish a compact support principle for a class of elliptic differential inequalities such as View the MathML source for |x| large, where q∈(0,1) and α∗=(1−q)N+2q is optimal in the sense that it cannot be replaced by any larger number. Applying this principle, we also consider the existence and nonexistence of compact support solutions for a semilinear elliptic equation.