Bubbling above the threshold of the scalar curvature in dimensions four and five
From MaRDI portal
Publication:1794391
DOI10.1007/s00526-018-1433-8zbMath1401.35049OpenAlexW2893196014WikidataQ129182923 ScholiaQ129182923MaRDI QIDQ1794391
Pierre-Damien Thizy, Bruno Premoselli
Publication date: 15 October 2018
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://dipot.ulb.ac.be/dspace/bitstream/2013/283099/3/Revised_BlowUp45_24_07_2017.pdf
Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10) Blow-up in context of PDEs (35B44)
Related Items (3)
Towers of bubbles for Yamabe-type equations and for the Brézis-Nirenberg problem in dimensions \(n \geq 7\) ⋮ Stability and instability results for sign-changing solutions to second-order critical elliptic equations ⋮ Blowing-up solutions to Bopp-Podolsky-Schrödinger-Proca and Schrödinger-Poisson-Proca systems in the electro-magneto-static case
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sign-changing bubble towers for asymptotically critical elliptic equations on Riemannian manifolds
- Infinitely many solutions for the Schrödinger equations in \(\mathbb R^N\) with critical growth
- A global compactness result for elliptic boundary value problems involving limiting nonlinearities
- Compactness of solutions to the Yamabe problem. III
- The Lin-Ni conjecture in negative geometries
- A compactness theorem for the Yamabe problem
- Blow-up phenomena for the Yamabe equation. II
- A note on the Sobolev inequality
- A pointwise finite-dimensional reduction method for Einstein-Lichnerowicz-type systems: the six-dimensional case
- Positive clusters for smooth perturbations of a critical elliptic equation in dimensions four and five
- From one bubble to several bubbles: the low-dimensional case.
- Resonant states for the static Klein-Gordon-Maxwell-Proca system
- Towering phenomena for the Yamabe equation on symmetric manifolds
- Compactness and stability for nonlinear elliptic equations
- Arbitrary number of positive solutions for an elliptic problem with critical nonlinearity
- Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four
- The effect of linear perturbations on the Yamabe problem
- A priori estimates for the Yamabe problem in the non-locally conformally flat case
- Blow-up solutions for asymptotically critical elliptic equations on Riemannian manifolds
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- The Yamabe problem
- On the Positive Solutions of Semilinear Equations Δu + λu - hu p = 0 on the Compact Manifolds
- YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS
- Phase Stability for Schrödinger–Poisson Critical Systems in Closed 5-Manifolds
- A pointwise finite-dimensional reduction method for a fully coupled system of Einstein–Lichnerowicz type
- A General Theorem for the Construction of Blowing-up Solutions to Some Elliptic Nonlinear Equations via Lyapunov– Schmidt’s Finite-dimensional Reduction
This page was built for publication: Bubbling above the threshold of the scalar curvature in dimensions four and five
