We consider the equation (-Δ)su + u, with s ∈ (0, 1) in the subcritical range of p. We prove that if s is sufficiently close to 1 the equation possesses a unique minimizer, which is nondegenerate. © 2014 Springer-Verlag Berlin Heidelberg.
Uniqueness and Nondegeneracy of Positive Solutions of (-Δ)su + u = up in ℝN when s is Close to 1 / M.M. Fall, E. Valdinoci. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 329:1(2014), pp. 383-404. [10.1007/s00220-014-1919-y]
Uniqueness and Nondegeneracy of Positive Solutions of (-Δ)su + u = up in ℝN when s is Close to 1
E. Valdinoci
2014
Abstract
We consider the equation (-Δ)su + u, with s ∈ (0, 1) in the subcritical range of p. We prove that if s is sufficiently close to 1 the equation possesses a unique minimizer, which is nondegenerate. © 2014 Springer-Verlag Berlin Heidelberg.
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