Block-radial symmetry breaking for ground states of biharmonic NLS

DOI10.1007/s00526-023-02654-9arXiv2306.03720OpenAlexW4391294147WikidataQ129042978 ScholiaQ129042978MaRDI QIDQ6186463

Rainer Mandel, Diogo Oliveira e Silva

Publication date: 2 February 2024

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

Full work available at URL: https://arxiv.org/abs/2306.03720

zbMATH Keywords

Rayleigh quotientsFourier restriction theory\(O(d-k)\times O(k)\)-symmetric functions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symétrie et compacité dans les espaces de Sobolev
• Symmetry breaking for an elliptic equation involving the fractional Laplacian.
• Uncountably many solutions for nonlinear Helmholtz and curl-curl equations
• A Sobolev estimate for the adjoint restriction operator
• A Sharp Rearrangement Principle in Fourier Space and Symmetry Results for PDEs with Arbitrary Order
• On symmetry of traveling solitary waves for dispersion generalized NLS
• Classical Fourier Analysis
• Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
• A restriction theorem for the Fourier transform
• The Stein-Tomas inequality under the effect of symmetries

This page was built for publication: Block-radial symmetry breaking for ground states of biharmonic NLS