Nondegeneracy of the positive solutions for critical nonlinear Hartree equation in ℝ⁶
From MaRDI portal
Publication:5039244
DOI10.1090/proc/16088zbMath1500.35176arXiv2112.07936OpenAlexW4293103172MaRDI QIDQ5039244
Gui Xiang Xu, Xing Dong Tang, Xue-Mei Li
Publication date: 12 October 2022
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.07936
Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Cites Work
- Unnamed Item
- Unnamed Item
- Construction of multi-solitons for the energy-critical wave equation in dimension 5
- Exotic blowup solutions for the \(u^5\) focusing wave equation in \(\mathbb{R}^{3}\)
- Dynamics for the focusing, energy-critical nonlinear Hartree equation
- Large energy entire solutions for the Yamabe equation
- Uniqueness of ground states for pseudorelativistic Hartree equations
- Desingularization of Clifford torus and nonradial solutions to the Yamabe problem with maximal rank
- Global dynamics of the nonradial energy-critical wave equation above the ground state energy
- Nondegeneracy of ground states and multiple semiclassical solutions of the Hartree equation for general dimensions
- Doubling nodal solutions to the Yamabe equation in \(\mathbb{R}^N\) with maximal rank
- Construction of multi-bubble solutions for the energy-critical wave equation in dimension 5
- Center-stable manifold of the ground state in the energy space for the critical wave equation
- Nondegeneracy of the bubble in the critical case for nonlocal equations
- Construction of two-bubble solutions for energy-critical wave equations
- Approximation Theory and Harmonic Analysis on Spheres and Balls
- Torus action on S^n and sign changing solutions for conformally invariant equations
This page was built for publication: Nondegeneracy of the positive solutions for critical nonlinear Hartree equation in ℝ⁶
