Normalized ground states of nonlinear biharmonic Schrödinger equations with Sobolev critical growth and combined nonlinearities

DOI10.1016/J.AML.2022.108388zbMath1500.35132arXiv2209.06917OpenAlexW4292262103MaRDI QIDQ2080847

Xiaojun Chang, Zhouji Ma

Publication date: 11 October 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.06917

zbMATH Keywords

critical growthbiharmonic Schrödinger equationsexistence of normalized ground state solutions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order elliptic equations (35J30)

Related Items (4)

Multiple normalized solutions for biharmonic Choquard equation with Hardy-Littlewood-Sobolev upper critical and combined nonlinearities ⋮ Normalized solutions to biharmonic Schrödinger equation with critical growth in \(\mathbb{R}^N\) ⋮ Normalized solutions for the mixed dispersion nonlinear Schrödinger equations with four types of potentials and mass subcritical growth ⋮ Existence and multiplicity of normalized solutions to biharmonic Schrödinger equations with subcritical growth

Cites Work

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• Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime

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