Symmetry breaking via Morse index for equations and systems of Hénon-Schrödinger type
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Publication:666608
DOI10.1007/s00033-019-1080-8zbMath1412.35108arXiv1803.02712OpenAlexW2963201373MaRDI QIDQ666608
Tobias Weth, Zhenluo Lou, Zhi-tao Zhang
Publication date: 6 March 2019
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.02712
Variational methods for elliptic systems (35J50) Symmetries, invariants, etc. in context of PDEs (35B06) Boundary value problems for second-order elliptic systems (35J57)
Related Items (13)
Convex solutions of Monge-Ampère equations and systems: existence, uniqueness and asymptotic behavior ⋮ Nontrivial solutions for the polyharmonic problem: existence, multiplicity and uniqueness ⋮ Liouville type theorem and Morse indices of a semilinear elliptic equation with nonlocal nonlinearities ⋮ Existence of non-radial solutions to semilinear elliptic systems on a unit ball in \({\mathbb{R}}^3\) ⋮ On a singular eigenvalue problem and its applications in computing the Morse index of solutions to semilinear PDE’s: II ⋮ Patterns of non-radial solutions to coupled semilinear elliptic systems on a disc ⋮ A coupled \(p\)-Laplacian elliptic system: existence, uniqueness and asymptotic behavior ⋮ Asymptotic profile and Morse index of the radial solutions of the Hénon equation ⋮ Asymptotic profile and Morse index of nodal radial solutions to the Hénon problem ⋮ The Hénon problem with large exponent in the disc ⋮ Spectral asymptotics of radial solutions and nonradial bifurcation for the Hénon equation ⋮ A class of singular coupled systems of superlinear Monge-Ampère equations ⋮ The asymptotically linear Hénon problem
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