Classification of solutions for mixed order conformally system with Hartree-type nonlinearity in ℝn
DOI10.1142/s1664360723500029zbMath1522.35554OpenAlexW4313551366MaRDI QIDQ6095854
Publication date: 8 September 2023
Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1664360723500029
Liouville theoremclassification of solutionsmethod of moving spheresmixed-order conformally invariant system
Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Fractional partial differential equations (35R11) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Conformal structures on manifolds (53C18)
Cites Work
- Unnamed Item
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- A direct method of moving planes for the fractional Laplacian
- Exact solutions of nonlinear conformally invariant integral equations in \(\mathbf R^3\)
- Fractional Laplacian in conformal geometry
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Classification of positive solitary solutions of the nonlinear Choquard equation
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Positive solutions of nonlinear problems involving the square root of the Laplacian
- Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
- Classification of solutions of some nonlinear elliptic equations
- Classification of solutions of higher order conformally invariant equations
- On uniqueness of solutions of \(n\)-th order differential equations in conformal geometry
- A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
- Classification of nonnegative classical solutions to third-order equations
- Regularity and classification of solutions to static Hartree equations involving fractional Laplacians
- Remark on some conformally invariant integral equations: the method of moving spheres
- Gradient estimates for harmonic and \(q\)-harmonic functions of symmetric stable processes.
- Uniqueness theorems through the method of moving spheres
- Symmetry and monotonicity of nonnegative solutions to pseudo-relativistic Choquard equations
- Existence and Liouville theorems for coupled fractional elliptic system with Stein-Weiss type convolution parts
- Classification of solutions to mixed order conformally invariant systems in \({\mathbb{R}}^2\)
- Liouville type theorems, a priori estimates and existence of solutions for sub-critical order Lane-Emden-Hardy equations
- Classification of solutions of an equation related to a conformal log Sobolev inequality
- Liouville theorems for nonnegative solutions to static weighted Schrödinger-Hartree-Maxwell type equations with combined nonlinearities
- The focusing energy-critical Hartree equation
- A direct method of moving spheres on fractional order equations
- Liouville type theorems, a priori estimates and existence of solutions for critical and super-critical order Hardy-Hénon type equations in \(\mathbb{R}^n\)
- Entire $s$-harmonic functions are affine
- On Fractional GJMS Operators
- A New, Rearrangement-free Proof of the Sharp Hardy–Littlewood–Sobolev Inequality
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Euler Equations, Navier-Stokes Equations and Turbulence
- Classification of Solutions of a Conformally Invariant Third Order Equation in ℝ3
- A necessary and sufficient condition for the nirenberg problem
- The Fractional Laplacian
- An Extension Problem Related to the Fractional Laplacian
- Classification of solutions for an integral equation
- Classification of Nonnegative Solutions to Static Schrödinger--Hartree--Maxwell Type Equations
- Liouville-type theorems for higher-order Lane–Emden system in exterior domains
- Classification of Solutions to Conformally Invariant Systems with Mixed Order and Exponentially Increasing or Nonlocal Nonlinearity
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