Non-degeneracy of multi-bubbling solutions for the prescribed scalar curvature equations and applications

DOI10.1016/j.jfa.2020.108553zbMath1444.35070arXiv2106.15423OpenAlexW3015212457MaRDI QIDQ2186608

Monica Musso, Shusen Yan, Yuxia Guo, Shuangjie Peng

Publication date: 9 June 2020

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.15423

zbMATH Keywords

semilinear elliptic equationscritical exponentbubbling analysiscurvature equations

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Semilinear elliptic equations (35J61)

Related Items (23)

Non-degeneracy and existence of new solutions for the Schrödinger equations ⋮ Concentrated solutions for a critical elliptic equation ⋮ New type of solutions for the nonlinear Schrödinger equation in \(\mathbb{R}^N\) ⋮ New type of positive bubble solutions for a critical Schrödinger equation ⋮ Non-degeneracy of bubbling solutions for fractional Schrödinger equation and its application ⋮ New existence for the higher order prescribed curvature problem ⋮ New existence of multi-spike solutions for the fractional Schrödinger equations ⋮ On the prescribed scalar curvature problem with very degenerate prescribed functions ⋮ Non-degeneracy of the bubble solutions for the Hénon equation and applications ⋮ Periodic solution for higher order prescribed curvature problem in a strip ⋮ Nondegeneracy of solutions to the critical p$p$‐Laplace Kirchhoff equation ⋮ Non-degeneracy of single-peak solutions to a Kirchhoff equation ⋮ Nondegeneracy of the bubble solutions for critical equations involving the polyharmonic operator ⋮ Asymptotic non-degeneracy of the multipeak solution for the supercritical Hénon equation ⋮ Local uniqueness and non-degeneracy of bubbling solution for critical Hamiltonian system ⋮ Non-degeneracy of the bubble solutions for the fractional prescribed curvature problem and applications ⋮ Existence and non-degeneracy of positive multi-bubbling solutions to critical elliptic systems of Hamiltonian type ⋮ Doubling the equatorial for the prescribed scalar curvature problem on \(\mathbb{S}^N\) ⋮ Uniqueness of single-peaked solutions to singularity perturbed semilinear Dirichlet problems ⋮ Non-degeneracy of the ground state solution on nonlinear Schrödinger equation ⋮ Non-degeneracy of peak solutions to the Schrödinger-Newton system ⋮ Non-degeneracy and local uniqueness of positive solutions to the Lane-Emden problem in dimension two ⋮ Non-degeneracy of bubble solutions for higher order prescribed curvature problem

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