Existence and Liouville theorems for coupled fractional elliptic system with Stein-Weiss type convolution parts
DOI10.1007/S00209-022-03130-4OpenAlexW4293531027WikidataQ113906035 ScholiaQ113906035MaRDI QIDQ2081430
Publication date: 13 October 2022
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00209-022-03130-4
symmetryclassification of solutionsLiouville-type theoremsmethod of scaling spheresStein-Weiss type convolution parts
Variational methods applied to PDEs (35A15) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Higher-order elliptic systems (35J48)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Hitchhiker's guide to the fractional Sobolev spaces
- Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case
- A direct method of moving planes for the fractional Laplacian
- Classification of positive solitary solutions of the nonlinear Choquard equation
- A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system
- Regularity, symmetry, and uniqueness of some integral type quasilinear equations
- The classical field limit of scattering theory for non-relativistic many- boson systems. I
- Classification of solutions of some nonlinear elliptic equations
- A priori estimates for prescribing scalar curvature equations
- Standing waves for a coupled nonlinear Hartree equations with nonlocal interaction
- Classification of positive solutions to fractional order Hartree equations via a direct method of moving planes
- On a coupled Schrödinger system with Stein-Weiss type convolution part
- Symmetry and monotonicity of nonnegative solutions to pseudo-relativistic Choquard equations
- Liouville theorems for nonnegative solutions to Hardy-Hénon type system on a half space
- Classification of solutions to mixed order conformally invariant systems in \({\mathbb{R}}^2\)
- On elliptic equations with Stein-Weiss type convolution parts
- Liouville type theorems, a priori estimates and existence of solutions for sub-critical order Lane-Emden-Hardy equations
- Liouville theorems for nonnegative solutions to static weighted Schrödinger-Hartree-Maxwell type equations with combined nonlinearities
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
- Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
- Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- The Choquard equation and related questions
- A necessary and sufficient condition for the nirenberg problem
- Classification of nonnegative solutions to a bi-harmonic equation with Hartree type nonlinearity
- Standing waves of some coupled nonlinear Schrödinger equations
- An Extension Problem Related to the Fractional Laplacian
- Classification of Nonnegative Solutions to Static Schrödinger--Hartree--Maxwell Type Equations
- Liouville theorems for fractional and higher-order Hénon–Hardy systems on ℝn
- Liouville-Type Theorems for Fractional and Higher-Order Hénon–Hardy Type Equations via the Method of Scaling Spheres
This page was built for publication: Existence and Liouville theorems for coupled fractional elliptic system with Stein-Weiss type convolution parts
