Indefinite fractional elliptic problem and Liouville theorems
نویسندگان
چکیده
منابع مشابه
Liouville theorems on some indefinite equations
In this note, we present some Liouville type theorems about the nonnegative solutions to some indefinite elliptic equations.
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We show that nonlinear Liouville theorems does not hold in general for indefinite problems on half spaces. Thus, in order to use blow-up method to obtain a priori estimates of indefinite elliptic equations, one has to impose assumptions on the nodal set of nonlinearity. The counter example is constructed by shooting method in one-dimensional case and then extended to higher dimensions.
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2016
ISSN: 0022-0396
DOI: 10.1016/j.jde.2015.11.029