Sharp asymptotic behavior of radial solutions of some planar semilinear elliptic problems
From MaRDI portal
Publication:2235668
DOI10.1016/j.jde.2021.09.039zbMath1486.35227arXiv1908.10503OpenAlexW3205731111MaRDI QIDQ2235668
Isabella Ianni, Alberto Saldaña
Publication date: 21 October 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.10503
Asymptotic behavior of solutions to PDEs (35B40) Symmetries, invariants, etc. in context of PDEs (35B06) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items (3)
On the least-energy solutions of the pure Neumann Lane-Emden equation ⋮ Asymptotic behavior of sign-changing radial solutions of a semilinear elliptic equation in \(\mathbb{R}^2\) when exponent approaches \(+\infty\) ⋮ Morse index computation for radial solutions of the Hénon problem in the disk
Cites Work
- Unnamed Item
- Unnamed Item
- Asymptotic analysis and sign-changing bubble towers for Lane-Emden problems
- Exact Morse index computation for nodal radial solutions of Lane-Emden problems
- Asymptotic profile of positive solutions of Lane-Emden problems in dimension two
- \(L^{\infty}\)-norm and energy quantization for the planar Lane-Emden problem with large exponent
- Sign-changing stationary solutions and blowup for a nonlinear heat equation in dimension two
- Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
- On the Hénon equation: asymptotic profile of ground states. I.
- Mean field equations of Liouville type with singular data: sharper estimates
- Elliptic equations with nearly critical growth
- Symmetry and related properties via the maximum principle
- Existence of solitary waves in higher dimensions
- Uniqueness of least energy solutions to a semilinear elliptic equation in \(\mathbb{R}^ 2\)
- On a variational problem with lack of compactness: The topological effect of the critical points at infinity
- Quasilinear elliptic equations with critical exponents
- Global compactness properties of semilinear elliptic equations with critical exponential growth
- A Morse index formula for radial solutions of Lane-Emden problems
- On the Hénon equation with a Neumann boundary condition: asymptotic profile of ground states
- Uniform a priori estimates for positive solutions of the Lane-Emden equation in the plane
- Least energy nodal solutions of Hamiltonian elliptic systems with Neumann boundary conditions
- Sobolev norms of radially symmetric oscillatory solutions for superlinear elliptic equations
- The asymptotic behaviour of the ground state solutions for Hénon equation.
- Lane-Emden problems: asymptotic behavior of low energy nodal solutions
- Asymptotic profile and Morse index of nodal radial solutions to the Hénon problem
- The Hénon problem with large exponent in the disc
- Nonradial solutions for the Hénon equation in \(\mathbb R^N\)
- Lane Emden problems with large exponents and singular Liouville equations
- The Neumann problem for the Hénon equation, trace inequalities and Steklov eigenvalues
- The shape of extremal functions for Poincaré-Sobolev-type inequalities in a ball
- On the Hénon equation: asymptotic profile of ground states. II
- Estimates on Pull-In Distances in Microelectromechanical Systems Models and Other Nonlinear Eigenvalue Problems
- NON-RADIAL GROUND STATES FOR THE HÉNON EQUATION
- On a Two-Dimensional Elliptic Problem with Large Exponent in Nonlinearity
- Asymptotic estimates for a two-dimensional problem with polynomial nonlinearity
- Asymptotic Estimates and Qualitative Properties of an Elliptic Problem in Dimension Two
- Single-point condensation and least-energy solutions
- Sharp concentration estimates near criticality for radial sign‐changing solutions of Dirichlet and Neumann problems
- Uniqueness of solutions of nonlinear Dirichlet problems
This page was built for publication: Sharp asymptotic behavior of radial solutions of some planar semilinear elliptic problems
