Abstract
ABSTRACTIn this work, we obtain some new Liouville's theorems for positive, radially symmetric solutions of the equation where f is a continuous function in which is positive in . Our methods adapt to cover more general problems, where the nonlinearity is multiplied by some radially symmetric weights and/or the Laplacian is replaced by the p-Laplacian, 1<p<N. Some results for related elliptic systems are also obtained.
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