Nondegeneracy of the ground state for quasilinear Schrödinger equations

DOI10.1007/S00526-014-0751-8zbMath1319.35244OpenAlexW2028433791MaRDI QIDQ2347175

Alessandro Selvitella

Publication date: 27 May 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-014-0751-8

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (8)

A positive solution for an asymptotically cubic quasilinear Schrödinger equation ⋮ The dual approach to stationary and evolution quasilinear PDEs ⋮ Remarks on nondegeneracy of ground states for quasilinear Schrödinger equations ⋮ Uniqueness of the ground state of the NLS on \(\mathbb{H}^d\) via analytical and topological methods ⋮ Nondegeneracy of positive solutions to a Kirchhoff problem with critical Sobolev growth ⋮ Uniqueness of limit flow for a class of quasi-linear parabolic equations ⋮ A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application ⋮ A singularly perturbed Kirchhoff problem revisited

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