Let P(z) be a polynomial. We study the equation P(Delta)u = 0 as well as the inequalities P(Delta)u >= 0, and P(Delta)u >= f (u) on the whole Double-struck capital R-n. We prove some Liouville-type results for nonnegative solutions and for solutions having a natural growth condition at infinity.
Liouville-type results for spherical symmetric linear differential operators with constant coefficients
D'Ambrosio, L;
2022-01-01
Abstract
Let P(z) be a polynomial. We study the equation P(Delta)u = 0 as well as the inequalities P(Delta)u >= 0, and P(Delta)u >= f (u) on the whole Double-struck capital R-n. We prove some Liouville-type results for nonnegative solutions and for solutions having a natural growth condition at infinity.File in questo prodotto:
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