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math.AP2018★ 23 cited
Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies
Takafumi Akahori, Slim Ibrahim, Norihisa Ikoma +2
The study of the uniqueness and nondegeneracy of ground state solutions to semilinear elliptic equations is of great importance because of the resulting energy landscape and its im…
math.AP2018★ 12 cited
Existence and non-existence of maximizers for the Moser-Trudinger type inequalities under inhomogeneous constraints
Norihisa Ikoma, Michinori Ishiwata, Hidemitsu Wadade
In this paper, we study the existence and non-existence of maximizers for the Moser-Trudinger type inequalities in of the form \[ D_{N,α}(a,b):= \sup_{u\in W^{1,N}(\Bbb…