On stable solutions of a weighted elliptic equation involving the fractional Laplacian
From MaRDI portal
Publication:6543224
DOI10.1002/mma.9774zbMath1539.35289MaRDI QIDQ6543224
Thi Quynh Nguyen, Anh Tuan Duong
Publication date: 24 May 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Fractional derivatives and integrals (26A33) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Hitchhiker's guide to the fractional Sobolev spaces
- Liouville type results for semi-stable solutions of the weighted Lane-Emden system
- Liouville theorems for stable solutions of the weighted Lane-Emden system
- A guide to the Choquard equation
- Some Liouville theorems for Hénon type elliptic equations
- Classification of positive solitary solutions of the nonlinear Choquard equation
- On the classification of solutions of the Lane-Emden equation on unbounded domains of \(\mathbb R^N\)
- Liouville theorem for Choquard equation with finite Morse indices
- Liouville type theorems for stable solutions of the weighted elliptic system with the advection term: \(p \geq \vartheta >1\)
- On the classification of stable solutions of the fractional equation
- Nodal solutions for a fractional Choquard equation
- Liouville theorems and classification results for a nonlocal Schrödinger equation
- Liouville type theorems for some fractional elliptic problems
- A Liouville-type theorem for fractional elliptic equation with exponential nonlinearity
- Solutions to upper critical fractional Choquard equations with potential
- Liouville theorems for an integral equation of Choquard type
- Symmetry and nonexistence of positive solutions for fractional Choquard equations
- Liouville theorem and classification of positive solutions for a fractional Choquard type equation
- Ground states of nonlinear fractional Choquard equations with Hardy-Littlewood-Sobolev critical growth
- Liouville type theorem for nonlinear elliptic system involving Grushin operator
- Symmetry of positive solutions for Choquard equations with fractional \(p\)-Laplacian
- Stability of entire solutions to supercritical elliptic problems involving advection
- Liouville theorems for stable Lane–Emden systems and biharmonic problems
- Insufficiency of the étale Brauer-Manin obstruction: Towards a simply connected example
- On stable solutions of the fractional Hénon–Lane–Emden equation
- Variational Methods for Nonlocal Fractional Problems
- The Choquard equation and related questions
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- Classification of Stable Solutions to a Non-Local Gelfand–Liouville Equation
- STABLE SOLUTIONS TO THE STATIC CHOQUARD EQUATION
- On fractional Choquard equations
- On the fractional Lane-Emden equation
- An Extension Problem Related to the Fractional Laplacian
- Liouville type theorems for stable solutions of the weighted elliptic system
- Liouville‐type theorems for a nonlinear fractional Choquard equation
This page was built for publication: On stable solutions of a weighted elliptic equation involving the fractional Laplacian