Asymptotic uniqueness of ground states for a class of quasilinear Schrödinger equations with \(H^{1}\)-supercritical exponent

DOI10.1016/j.jde.2015.10.029zbMath1333.35070OpenAlexW1902603562MaRDI QIDQ897828

Shinji Adachi, Tatsuya Watanabe

Publication date: 7 December 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.10.029

zbMATH Keywords

quasilinear elliptic equationzero mass caseasymptotic uniqueness

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Entire solutions to PDEs (35B08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (10)

Positive solutions for quasilinear Schrödinger equations in \(\mathbb{R}^N\) ⋮ Uniqueness of asymptotic limit of ground states for a class of quasilinear Schrödinger equation with H¹-critical growth in ℝ³ ⋮ Multiplicity of positive solutions for quasilinear elliptic equations involving critical nonlinearity ⋮ Asymptotic property of ground states for a class of quasilinear Schrödinger equation with \(H^1\)-critical growth ⋮ Existence of a bound state solution for quasilinear Schrödinger equations ⋮ Blow-up phenomena and asymptotic profiles passing from \(H^1\)-critical to super-critical quasilinear Schrödinger equations ⋮ A unified approach to singularly perturbed quasilinear Schrödinger equations ⋮ A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application ⋮ Fast and slow decaying solutions for \(H^{1}\)-supercritical quasilinear Schrödinger equations ⋮ On a class of quasilinear Schrödinger equations with the supercritical growth

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