Nondegeneracy of nodal solutions to the critical Yamabe problem
From MaRDI portal
Publication:748456
DOI10.1007/s00220-015-2462-1zbMath1328.35047arXiv1406.5938OpenAlexW1703988391MaRDI QIDQ748456
Publication date: 29 October 2015
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.5938
Related Items (28)
Non-degeneracy of multi-bubbling solutions for the prescribed scalar curvature equations and applications ⋮ Localized nodal solutions of higher topological type for nonlinear Schrödinger-Poisson system ⋮ Localized nodal solutions for a critical nonlinear Schrödinger equation ⋮ Nondegeneracy of solutions to the critical p$p$‐Laplace Kirchhoff equation ⋮ An overview on extremals and critical points of the Sobolev inequality in convex cones ⋮ Unnamed Item ⋮ High energy sign-changing solutions for Coron's problem ⋮ Desingularization of Clifford torus and nonradial solutions to the Yamabe problem with maximal rank ⋮ Compactness of sign-changing solutions to scalar curvature-type equations with bounded negative part ⋮ Localized nodal solutions for p-Laplacian equations with critical exponents ⋮ Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold ⋮ Supercritical elliptic problems on the round sphere and nodal solutions to the Yamabe problem in projective spaces ⋮ Localized nodal solutions of higher topological type for semiclassical nonlinear Schrödinger equations ⋮ Sign-changing blowing-up solutions for a non-homogeneous elliptic equation at the critical exponent ⋮ Infinitely many positive solutions of fractional nonlinear Schrödinger equations with non-symmetric potentials ⋮ Doubling nodal solutions to the Yamabe equation in \(\mathbb{R}^N\) with maximal rank ⋮ Low energy nodal solutions to the Yamabe equation ⋮ Construction of excited multi-solitons for the focusing 4D cubic wave equation ⋮ Decomposition of polyharmonic operator and classification of homogeneous stable solutions ⋮ Asymptotics of solutions with a compactness property for the nonlinear damped Klein-Gordon equation ⋮ Energy bounds of sign-changing solutions to Yamabe equations on manifolds with boundary ⋮ Stability and instability results for sign-changing solutions to second-order critical elliptic equations ⋮ Sign-changing blowing-up solutions for the critical nonlinear heat equation ⋮ New Type of Sign-Changing Blow-up Solutions for Scalar Curvature Type Equations ⋮ Classification of finite Morse index solutions to the polyharmonic Hénon equation ⋮ Sign-changing blow-up for the Yamabe equation at the lowest energy level ⋮ Construction of excited multi-solitons for the 5D energy-critical wave equation ⋮ Sign-changing blowing-up solutions for supercritical Bahri-Coron's problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
- A new kind of blowing-up solutions for the Brezis-Nirenberg problem
- Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold
- Universality of the blow-up profile for small type II blow-up solutions of the energy-critical wave equation: the nonradial case
- Large energy entire solutions for the Yamabe equation
- Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- On the formation of singularities in the critical \(O(3)\) \(\sigma \)-model
- Slow blow-up solutions for the \(H^1(\mathbb R^3)\) critical focusing semilinear wave equation
- On a conformally invariant elliptic equation on \(R^ n\)
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Best constant in Sobolev inequality
- Problèmes isoperimetriques et espaces de Sobolev
- Refined asymptotics for constant scalar curvature metrics with isolated singularities
- Existence and multiplicity of nodal solutions for nonlinear elliptic equations with critical Sobolev growth
- The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
- Profiles of bounded radial solutions of the focusing, energy-critical wave equation
- Constant scalar curvature metrics with isolated singularities
- Examples of non-isolated blow-up for perturbations of the scalar curvature equation on non-locally conformally flat manifolds
- The difference of topology at infinity in changing-sign Yamabe problems on ?3 (the case of two masses)
- Solutions of the focusing nonradial critical wave equation with the compactness property
- Uniqueness of Radial Solutions for the Fractional Laplacian
- On Circulant Matrices
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- Torus action on S^n and sign changing solutions for conformally invariant equations
This page was built for publication: Nondegeneracy of nodal solutions to the critical Yamabe problem
