Existence of positive radial ground state minimizers and second normalized solutions is shown for the Kirchhoff-log equation across ranges of p, with small-mass conditions and asymptotic gradient behaviors.
Shuai, Multiple solutions for logarithmic Schr¨ odinger equations, Nonlinearity,32(2019), 2201–2225
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Normalized solutions to a class of Kirchhoff type equations with a logarithmic perturbation
Existence of positive radial ground state minimizers and second normalized solutions is shown for the Kirchhoff-log equation across ranges of p, with small-mass conditions and asymptotic gradient behaviors.