Elliptic KdV potentials and conical metrics of positive constant curvature. I
From MaRDI portal
Publication:6117850
DOI10.1007/s00208-023-02580-3OpenAlexW4320718820MaRDI QIDQ6117850
Publication date: 21 February 2024
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-023-02580-3
KdV equations (Korteweg-de Vries equations) (35Q53) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mean field equations, hyperelliptic curves and modular forms. I
- Elliptic functions, Green functions and the mean field equations on tori
- The Hermite-Krichever ansatz for Fuchsian equations with applications to the sixth Painlevé equation and to finite-gap potentials
- Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles
- Picard potential and Hill's equation on a torus
- When ``blow-up does not imply ``concentration: a detour from Brézis-Merle's result
- Mean field equations, hyperelliptic curves and modular forms. II
- Non-existence of solutions for a mean field equation on flat tori at critical parameter \(16 \pi \)
- The geometry of generalized Lamé equation. II: Existence of pre-modular forms and application
- Existence of bubbling solutions without mass concentration
- The Heun equation and the Calogero-Moser-Sutherland system. IV: The Hermite-Krichever ansatz
- Metrics with four conic singularities and spherical quadrilaterals
- Metrics of constant positive curvature with four conic singularities on the sphere
- Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
This page was built for publication: Elliptic KdV potentials and conical metrics of positive constant curvature. I
