A Liouville-type theorem for fractional elliptic equation with exponential nonlinearity
From MaRDI portal
Publication:2117381
DOI10.1007/s00009-021-01950-yzbMath1485.35090arXiv1911.05966OpenAlexW2983560184WikidataQ113906407 ScholiaQ113906407MaRDI QIDQ2117381
Anh Tuan Duong, Nguyen Van Hoang
Publication date: 21 March 2022
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.05966
Stability in context of PDEs (35B35) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Related Items (1)
Cites Work
- Liouville type results for semi-stable solutions of the weighted Lane-Emden system
- Multiplicity results for elliptic fractional equations with subcritical term
- Liouville theorems for stable solutions of the weighted Lane-Emden system
- Partial regularity of finite Morse index solutions to the Lane-Emden equation
- Fundamental solutions and Liouville type theorems for nonlinear integral operators
- Some Liouville theorems for Hénon type elliptic equations
- On the classification of solutions of the Lane-Emden equation on unbounded domains of \(\mathbb R^N\)
- Existence of solutions for perturbed fractional \(p\)-Laplacian equations
- Stable solutions of \(-\Delta u = f(u)\) in \(\mathbb R^N\)
- Positive solutions of an elliptic equation with negative exponent: stability and critical power
- Liouville theorems for stable solutions of semilinear elliptic equations with convex nonlinearities
- Degenerate Kirchhoff-type hyperbolic problems involving the fractional Laplacian
- A priori bounds and positive solutions for non-variational fractional elliptic systems.
- Liouville type theorems for stable solutions of the weighted elliptic system with the advection term: \(p \geq \vartheta >1\)
- Symmetry properties for solutions of nonlocal equations involving nonlinear operators
- On the classification of stable solutions of the fractional equation
- Existence results for Schrödinger-Choquard-Kirchhoff equations involving the fractional \(p\)-Laplacian
- Liouville theorems for fractional Hénon equation and system on \(\mathbb{R}^n\)
- A sharp eigenvalue theorem for fractional elliptic equations
- On the Hénon-Lane-Emden conjecture
- Stability of entire solutions to supercritical elliptic problems involving advection
- Properties of positive solutions to an elliptic equation with negative exponent
- Symmetry of components and Liouville-type theorems for semilinear elliptic systems involving the fractional Laplacian
- Stable solutions of \(-\delta u=e^u\) on \(\mathbb R^N\)
- Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractionalp-Laplacian
- Liouville theorems for stable Lane–Emden systems and biharmonic problems
- On stable entire solutions of semi-linear elliptic equations with weights
- On finite Morse index solutions of higher order fractional Lane-Emden equations
- On a fractional degenerate Kirchhoff-type problem
- On stable solutions of the fractional Hénon–Lane–Emden equation
- Variational Methods for Nonlocal Fractional Problems
- On the classification of solutions of -Δ𝑢=𝑒^{𝑢} on ℝ^{ℕ}: Stability outside a compact set and applications
- Classification of Stable Solutions to a Non-Local Gelfand–Liouville Equation
- Existence results for Kirchhoff–type superlinear problems involving the fractional Laplacian
- On the fractional Lane-Emden equation
- Liouville type theorems for two elliptic equations with advections
- A critical fractional Choquard–Kirchhoff problem with magnetic field
- An Extension Problem Related to the Fractional Laplacian
- Liouville type results for systems of equations involving fractional Laplacian in exterior domains
- Liouville type theorems for stable solutions of the weighted elliptic system
This page was built for publication: A Liouville-type theorem for fractional elliptic equation with exponential nonlinearity
