Morse index computation for radial solutions of the Hénon problem in the disk
DOI10.1016/J.NA.2021.112645zbMath1480.35254arXiv2102.13553OpenAlexW3212874811MaRDI QIDQ2057933
Anna Lisa Amadori, Francesca De Marchis, Isabella Ianni
Publication date: 7 December 2021
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.13553
Dirichlet problemHénon problemLane-Emden problemsemilinear elliptic equation with LaplacianMorse index of radial solutions
Symmetries, invariants, etc. in context of PDEs (35B06) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items (1)
Cites Work
- Unnamed Item
- Exact Morse index computation for nodal radial solutions of Lane-Emden problems
- Bifurcation and symmetry breaking for a class of semilinear elliptic equations in an annulus
- Existence of radial solutions with prescribed number of zeros for elliptic equations and their Morse index
- Mean field equations of Liouville type with singular data: sharper estimates
- Elliptic equations with nearly critical growth
- Infinitely many radial solutions of a semilinear elliptic problem on \(\mathbb{R}^ N\)
- A Morse index formula for radial solutions of Lane-Emden problems
- Sobolev norms of radially symmetric oscillatory solutions for superlinear elliptic equations
- A note on additional properties of sign changing solutions to superlinear elliptic equations
- Qualitative properties of nodal solutions of semilinear elliptic equations in radially symmetric domains
- Asymptotic behavior of positive solutions to semilinear elliptic equations on expanding annuli
- Approximate nonradial solutions for the Lane-Emden problem in the ball
- Quasi-radial solutions for the Lane-Emden problem in the ball
- Bifurcation and symmetry breaking for the Henon equation
- On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE's
- Sharp asymptotic behavior of radial solutions of some planar semilinear elliptic problems
- Asymptotic profile and Morse index of nodal radial solutions to the Hénon problem
- Nonradial solutions for the Hénon equation close to the threshold
- The Hénon problem with large exponent in the disc
- 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
- Lane Emden problems with large exponents and singular Liouville equations
- Nodal solutions of nonlinear elliptic Dirichlet problems on radial domains
- Global bifurcation for the Hénon problem
- Morse index of radial nodal solutions of Hénon type equations in dimension two
- NON-RADIAL GROUND STATES FOR THE HÉNON EQUATION
- Symmetry breaking and Morse index of solutions of nonlinear elliptic problems in the plane
- ASYMPTOTICS AND SYMMETRIES OF LEAST ENERGY NODAL SOLUTIONS OF LANE–EMDEN PROBLEMS WITH SLOW GROWTH
- On the shape of solutions of an asymptotically linear problem
- Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
- Sharp concentration estimates near criticality for radial sign‐changing solutions of Dirichlet and Neumann problems
- On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE’s: II
This page was built for publication: Morse index computation for radial solutions of the Hénon problem in the disk