Radial Symmetry of Ground States for a Regional Fractional Nonlinear Schrödinger Equation
نویسندگان
چکیده
The aim of this paper is to study radial symmetry properties for ground state solutions of elliptic equations involving a regional fractional Laplacian, namely (−∆)ρ u+ u = f(u) in R, for α ∈ (0, 1). (1) In [9], the authors proved that problem (1) has a ground state solution. In this work we prove that the ground state level is achieved by a radially symmetry solution. The proof is carried out by using variational methods jointly with rearrangement arguments.
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