Asymptotic profile and Morse index of the radial solutions of the Hénon equation
From MaRDI portal
Publication:2020212
DOI10.1016/j.jde.2021.03.050zbMath1465.35246arXiv2101.05871OpenAlexW3143404318MaRDI QIDQ2020212
Wendel Leite da Silva, Ederson Moreira dos Santos
Publication date: 23 April 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.05871
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)
Cites Work
- Unnamed Item
- Symmetry breaking via Morse index for equations and systems of Hénon-Schrödinger type
- Existence of radial solutions with prescribed number of zeros for elliptic equations and their Morse index
- Partial symmetry of least energy nodal solutions to some variational problems
- On the Hénon equation: asymptotic profile of ground states. I.
- Symmetry and related properties via the maximum principle
- Partial symmetry and asymptotic behavior for some elliptic variational problems
- A Morse index formula for radial solutions of Lane-Emden problems
- Sobolev norms of radially symmetric oscillatory solutions for superlinear elliptic equations
- Qualitative properties of nodal solutions of semilinear elliptic equations in radially symmetric domains
- Minimax theorems
- On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE's
- Asymptotic profile and Morse index of nodal radial solutions to the Hénon problem
- Spectral asymptotics of radial solutions and nonradial bifurcation for the Hénon equation
- Monotonicity of the Morse index of radial solutions of the Hénon equation in dimension two
- Nonradial solutions for the Hénon equation in \(\mathbb R^N\)
- On the Hénon equation: asymptotic profile of ground states. II
- Henon type equations and concentration on spheres
- Morse index of radial nodal solutions of Hénon type equations in dimension two
- Estimates on Pull-In Distances in Microelectromechanical Systems Models and Other Nonlinear Eigenvalue Problems
- NON-RADIAL GROUND STATES FOR THE HÉNON EQUATION
- Symmetry breaking and Morse index of solutions of nonlinear elliptic problems in the plane
- Asymptotic behaviour of ground state solutions for the Henon equation
- On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE’s: II
- Uniqueness of solutions of nonlinear Dirichlet problems
