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math.AP2019★ 1 cited
Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential
D. Mukherjee, P. T. Nam, P. T. Nguyen
We consider the focusing nonlinear Schrödinger equation with the critical inverse square potential. We give the first proof of the uniqueness of the ground state solution. Conseque…
math.AP2019
Semilinear elliptic equations with Hardy potential and gradient nonlinearity
Konstantinos Gkikas, Phuoc-Tai Nguyen
Let () be a bounded domain and be the distance to . We study positive solutions of equation (E) …