Asymptotic profile and Morse index of nodal radial solutions to the Hénon problem
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Publication:2274396
DOI10.1007/S00526-019-1606-0zbMath1431.35044arXiv1810.11046OpenAlexW2898116988MaRDI QIDQ2274396
Anna Lisa Amadori, Francesca Gladiali
Publication date: 19 September 2019
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.11046
Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items (12)
Global bifurcation for the Hénon problem ⋮ Exact Morse index of radial solutions for semilinear elliptic equations with critical exponent on annuli ⋮ On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE’s: II ⋮ Qualitative analysis to an eigenvalue problem of the Hénon 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 ⋮ Quasi-radial solutions for the Lane-Emden problem in the ball ⋮ Asymptotic profile and Morse index of the radial solutions of the Hénon equation ⋮ The Hénon problem with large exponent in the disc ⋮ Morse index computation for radial solutions of the Hénon problem in the disk ⋮ Spectral asymptotics of radial solutions and nonradial bifurcation for the Hénon equation ⋮ The asymptotically linear Hénon problem
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