Let L be a general second order differential elliptic operator. By using a quasilinear version of Kato’s inequality, we prove that the only weak solution of the problem L(u) = |u|^(q−1) u on RN , q > p − 1, is u = 0. Here p ≥ 1 is related to L.
An application of Kato’s inequality to quasilinear elliptic problems
D'AMBROSIO, Lorenzo;
2013-01-01
Abstract
Let L be a general second order differential elliptic operator. By using a quasilinear version of Kato’s inequality, we prove that the only weak solution of the problem L(u) = |u|^(q−1) u on RN , q > p − 1, is u = 0. Here p ≥ 1 is related to L.File in questo prodotto:
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