Explicit \(L^\infty\)-norm estimates via Morse index for the bi-harmonic and tri-harmonic semilinear problems
From MaRDI portal
Publication:1740374
DOI10.1007/s00229-018-1037-9zbMath1421.35160OpenAlexW2803659431MaRDI QIDQ1740374
Dong Ye, Abdellaziz Harrabi, Foued Mtiri
Publication date: 30 April 2019
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00229-018-1037-9
Boundary value problems for higher-order elliptic equations (35J40) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items (4)
\(L^\infty \)-norm estimates of weak solutions via their Morse indices for the \(m\)-Laplacian problems ⋮ A priori estimates for super-linear elliptic equation: the Neumann boundary value problem ⋮ Solutions of super-linear elliptic equations and their Morse indices ⋮ High-order Bahri-Lions Liouville-type theorems
Cites Work
- Unnamed Item
- Unnamed Item
- A priori bounds and a Liouville theorem on a half-space for higher-order elliptic Dirichlet problems
- Nodal sets and Morse indices of solutions of super-linear elliptic PDEs
- Infinite dimensional Morse theory and multiple solution problems
- Morse indices of solutions for super-linear elliptic PDE's
- Existence results and a priori bounds for higher order elliptic equations and systems
- Solutions of superlinear elliptic equations and their morse indices
This page was built for publication: Explicit \(L^\infty\)-norm estimates via Morse index for the bi-harmonic and tri-harmonic semilinear problems
