A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application

DOI10.1016/S0252-9602(18)30803-8zbMath1438.35165arXiv1602.07086OpenAlexW2962762261MaRDI QIDQ2313130

Masataka Shibata, Tatsuya Watanabe, Shinji Adachi

Publication date: 18 July 2019

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.07086

zbMATH Keywords

uniquenessshooting methodnon-degeneracypositive radial solution

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Semilinear elliptic equations (35J61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (8)

Revisiting asymptotic stability of solitons of nonlinear Schrödinger equations via refined profile method ⋮ Uniqueness of asymptotic limit of ground states for a class of quasilinear Schrödinger equation with H¹-critical growth in ℝ³ ⋮ Asymptotic property of ground states for a class of quasilinear Schrödinger equation with \(H^1\)-critical growth ⋮ Nondegeneracy of ground states for nonlinear scalar field equations involving the Sobolev-critical exponent at high frequencies in three and four dimensions ⋮ The double-power nonlinear Schrödinger equation and its generalizations: uniqueness, non-degeneracy and applications ⋮ Uniqueness of limit flow for a class of quasi-linear parabolic equations ⋮ A singularly perturbed Kirchhoff problem revisited ⋮ Localized and expanding entire solutions of reaction-diffusion equations

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