Stability and instability results for sign-changing solutions to second-order critical elliptic equations
DOI10.1016/j.matpur.2022.09.007zbMath1498.58018arXiv2201.05679OpenAlexW4297359320MaRDI QIDQ2085762
Bruno Premoselli, Jérôme Vétois
Publication date: 19 October 2022
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.05679
critical Sobolev exponentcompactness resultssign-changing solutionsstationary Schrödinger equationsnon-compactness resultssecond-order semilinear elliptic equations on manifolds
NLS equations (nonlinear Schrödinger equations) (35Q55) Second-order elliptic equations (35J15) Elliptic equations on manifolds, general theory (58J05) Semilinear elliptic equations (35J61)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sign-changing bubble towers for asymptotically critical elliptic equations on Riemannian manifolds
- Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold
- Infinitely many solutions for the Schrödinger equations in \(\mathbb R^N\) with critical growth
- Large energy entire solutions for the Yamabe equation
- Nondegeneracy of nodal solutions to the critical Yamabe problem
- A global compactness result for elliptic boundary value problems involving limiting nonlinearities
- Compactness of solutions to the Yamabe problem. III
- A compactness theorem for the Yamabe problem
- Blow-up phenomena for the Yamabe equation. II
- Conformal deformation of a Riemannian metric to constant scalar curvature
- On a conformally invariant elliptic equation on \(R^ n\)
- Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
- Concentration estimates and multiple solutions to elliptic problems at critical growth
- Riemannian metrics of constant mass and moduli spaces of conformal structures
- Multiplicity of nodal solutions to the Yamabe 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
- From one bubble to several bubbles: the low-dimensional case.
- Bubbling above the threshold of the scalar curvature in dimensions four and five
- Towering phenomena for the Yamabe equation on symmetric manifolds
- Doubling nodal solutions to the Yamabe equation in \(\mathbb{R}^N\) with maximal rank
- Variational properties of the second eigenvalue of the conformal Laplacian
- Compactness and stability for nonlinear elliptic equations
- Low energy nodal solutions to the Yamabe equation
- Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four
- The effect of linear perturbations on the Yamabe problem
- The second Yamabe invariant
- A priori estimates for the Yamabe problem in the non-locally conformally flat case
- Compactness of solutions to the Yamabe problem. II
- Entire nodal solutions to the pure critical exponent problem arising from concentration
- Blow-up phenomena for the Yamabe equation
- Local behavior of solutions of general linear elliptic equations
- The Yamabe problem
- YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS
- Recent progress on the Yamabe problem
- Torus action on S^n and sign changing solutions for conformally invariant equations
- A General Theorem for the Construction of Blowing-up Solutions to Some Elliptic Nonlinear Equations via Lyapunov– Schmidt’s Finite-dimensional Reduction
- MULTIPLE SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATIONS ON COMPACT RIEMANNIAN MANIFOLDS
- New Type of Sign-Changing Blow-up Solutions for Scalar Curvature Type Equations
This page was built for publication: Stability and instability results for sign-changing solutions to second-order critical elliptic equations