Uniqueness of solutions for a nonlocal elliptic eigenvalue problem
نویسندگان
چکیده
منابع مشابه
On the Uniqueness of Solutions of a Nonlocal Elliptic System
We consider the following elliptic system with fractional Laplacian −(−∆)su = uv, −(−∆)sv = vu, u, v > 0 on R, where s ∈ (0, 1) and (−∆)s is the s-Lapalcian. We first prove that all positive solutions must have polynomial bound. Then we use the Almgren monotonicity formula to perform a blown-down analysis. Finally we use the method of moving planes to prove the uniqueness of the one dimensional...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2012
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2012.v19.n3.a9