Critical points of arbitrary energy for the Trudinger-Moser functional in planar domains
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Publication:6204526
DOI10.1016/j.aim.2024.109548arXiv2212.10303OpenAlexW4391634532MaRDI QIDQ6204526
Luca Martinazzi, Andrea Malchiodi, Pierre-Damien Thizy
Publication date: 28 March 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.10303
Elliptic equations and elliptic systems (35Jxx) Qualitative properties of solutions to partial differential equations (35Bxx) Variational problems in infinite-dimensional spaces (58Exx)
Cites Work
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- Beyond the Trudinger-Moser supremum
- Topological degree for solutions of fourth order mean field equations
- The heat flow with a critical exponential nonlinearity
- A global compactness result for elliptic boundary value problems involving limiting nonlinearities
- Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
- New solutions for Trudinger-Moser critical equations in \(\mathbb R^2\)
- Critical points of embeddings of \(H_ 0^{1,n}\) into Orlicz spaces
- A priori estimates and existence of positive solutions of semilinear elliptic equations
- Extremal functions for the Trudinger-Moser inequality in 2 dimensions
- Harnack type inequality: The method of moving planes
- The differential equation \(\Delta u=8\pi-8\pi he^u\) on a compact Riemann surface
- Failure of Palais-Smale condition and blow-up analysis for the critical exponent problem in \(\mathbb{R}^2\)
- Elliptic partial differential equations of second order
- Glueing a peak to a non-zero limiting profile for a critical Moser-Trudinger equation
- Infinite dimensional Morse theory and multiple solution problems
- Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
- Critical points of the Moser-Trudinger functional on a disk
- Sign-changing blow-up for the Moser-Trudinger equation
- Critical points of the Moser-Trudinger functional on closed surfaces
- When does a perturbed Moser-Trudinger inequality admit an extremal?
- Multi-bump analysis for Trudinger-Moser nonlinearities I. Quantification and location of concentration points
- Bubbling solutions for an exponential nonlinearity in \(\mathbb{R}^2\)
- Sharp threshold nonlinearity for maximizing the Trudinger-Moser inequalities
- Existence of conformal metrics with constant \(Q\)-curvature
- 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
- Multibumps analysis in dimension 2: quantification of blow-up levels
- Blow-up Analysis in Dimension 2 and a Sharp Form of Trudinger–Moser Inequality
- Topological degree for a mean field equation on Riemann surfaces
- Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces
- Uniform bounds for solutions to elliptic problems on simply connected planar domains
