Multi-bump analysis for Trudinger-Moser nonlinearities I. Quantification and location of concentration points
From MaRDI portal
Publication:2216753
DOI10.4171/JEMS/1002zbMath1458.35167arXiv1710.08811MaRDI QIDQ2216753
Olivier Druet, Pierre-Damien Thizy
Publication date: 17 December 2020
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.08811
quantificationvariational problemspointwise estimatesMoser-Trudinger critical equationsmulti-bubble analysis
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09) Methods of ordinary differential equations applied to PDEs (35A24)
Related Items
Nonexistence of extremals for a Trudinger-Moser inequality on a Riemann surface with boundary ⋮ Concentration profile, energy, and weak limits of radial solutions to semilinear elliptic equations with Trudinger-Moser critical nonlinearities ⋮ A refinement of the first eigenvalue and eigenfunction of the linearized Moser-Trudinger problem ⋮ Uniqueness, multiplicity and nondegeneracy of positive solutions to the Lane-Emden problem ⋮ Asymptotic analysis on positive solutions of the Lane-Emden system with nearly critical exponents ⋮ Bubbling phenomenon for semilinear Neumann elliptic equations of critical exponential growth ⋮ Critical points of arbitrary energy for the Trudinger-Moser functional in planar domains ⋮ Critical functions and blow-up asymptotics for the fractional Brezis-Nirenberg problem in low dimension ⋮ Bubbling nodal solutions for a large perturbation of the Moser-Trudinger equation on planar domains ⋮ Sign-changing blow-up for the Moser-Trudinger equation ⋮ Existence of extremals for critical Trudinger-Moser inequalities via the method of energy estimate ⋮ Improved Adams-type inequalities and their extremals in dimension 2m ⋮ Critical points of the Moser-Trudinger functional on closed surfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Beyond the Trudinger-Moser supremum
- The heat flow with a critical exponential nonlinearity
- Compactness of solutions to the Yamabe problem. III
- The concentration-compactness principle in the calculus of variations. The limit case. I
- A compactness theorem for the Yamabe problem
- Blow-up phenomena for the Yamabe equation. II
- Morse theory and a scalar field equation on compact surfaces
- Blow-up examples for the Yamabe problem
- A threshold phenomenon for embeddings of \({H^m_0}\) into Orlicz spaces
- New solutions for Trudinger-Moser critical equations in \(\mathbb R^2\)
- Critical points of embeddings of \(H_ 0^{1,n}\) into Orlicz spaces
- Classification of solutions of some nonlinear elliptic equations
- Extremal functions for the Trudinger-Moser inequality in 2 dimensions
- Failure of Palais-Smale condition and blow-up analysis for the critical exponent problem in \(\mathbb{R}^2\)
- Global compactness properties of semilinear elliptic equations with critical exponential growth
- Positive solutions of critical semilinear elliptic equations on non-contractible planar domains
- From one bubble to several bubbles: the low-dimensional case.
- A Harnack type inequality for the Yamabe equation in low dimensions
- Prescribed scalar curvature on the \(n\)-sphere
- Critical points of the Moser-Trudinger functional on a disk
- The Moser-Trudinger inequality and its extremals on a disk via energy estimates
- Concentration profiles for the Trudinger-Moser functional are shaped like toy pyramids
- An expository survey on the recent development of mean field equations
- A priori estimates for the Yamabe problem in the non-locally conformally flat case
- Multibumps analysis in dimension 2: quantification of blow-up levels
- Compactness of solutions to the Yamabe problem. II
- Blow-up phenomena for the Yamabe equation
- Blow up Points and the Morse Indices of Solutions to the Liouville Equation in Two-Dimension
- Blow-up Analysis in Dimension 2 and a Sharp Form of Trudinger–Moser Inequality
- Topological degree for a mean field equation on Riemann surfaces
- YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS
- Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces
- Concentration of CMC Surfaces in a 3-manifold
