Non-degeneracy of bubble solutions for higher order prescribed curvature problem
type: Item
instance of: scholarly article
title: Non-degeneracy of bubble solutions for higher order prescribed curvature problem
zbMATH Open document ID: 1486.35172
author: Yuxia Guo
author: Yichen Hu
published in: Advanced Nonlinear Studies
publication date: 2022-03-18T00:00:00Z
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 58J05
Mathematics Subject Classification ID: 35J91
zbMATH DE Number: 7493118
zbMATH Keywords: polyharmonic operator, Laplace-Beltrami operator
zbMATH Keywords: prescribed curvature problem
MaRDI profile type: Publication
full work available at URL: ans-2022-0003
OpenAlex ID: W4226082233
cites work: Infinitely many solutions for the prescribed scalar curvature problem on \(\mathbb S^N\)
cites work: Perturbation of \(\Delta u+u^{(N+2)/(N-2)}=0\), the scalar curvature problem in \(\mathbb{R}^N\), and related topics
cites work: Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
cites work: On –δu = K(x)u5 in ℝ3
cites work: Q4705741
cites work: Positive radial solutions for and related topics
cites work: Concentration of solutions for the scalar curvature equation on \(\mathbb{R}^n\)
cites work: Non-existence and symmetry of solutions to the scalar curvature equation
cites work: Classification of solutions of higher order conformally invariant equations
cites work: A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary)
cites work: Group representations arising from Lorentz conformal geometry
cites work: A perturbation result in prescribing scalar curvature on \(S^ n\)
cites work: Multiple solutions of a critical polyharmonic equation
cites work: A Sobolev inequality with remainder term and critical equations on domains with topology for the polyharmonic operator
cites work: Critical exponents, critical dimensions and the biharmonic operator
cites work: Q5426661
cites work: Large energy bubble solutions for Schrödinger equation with supercritical growth
cites work: Existence and nonexistence results for critical growth biharmonic elliptic equations
cites work: Q4363063
cites work: Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions
cites work: Q3027501
cites work: Critical exponents and critical dimensions of polyharmonic operators
cites work: Infinitely many solutions for the prescribed curvature problem of polyharmonic operator
cites work: Non-degeneracy of multi-bubbling solutions for the prescribed scalar curvature equations and applications
cites work: The best sobolev constant
cites work: Multi-bump solutions of \(-\Delta = K(x)u^{\frac{n+2}{n-2}}\) on lattices in \(\mathbb{R}^n\)
DOI: 10.1515/ANS-2022-0003
description: scientific article; zbMATH DE number 7493118