Classification of Solutions to Mixed Order Elliptic System with General Nonlinearity
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Publication:6172785
DOI10.1137/22m1510510zbMath1521.35191OpenAlexW4384154274MaRDI QIDQ6172785
Publication date: 20 July 2023
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/22m1510510
classification of solutionsmethod of moving spheressemilinear elliptic systemgeneral nonlinearitymixed order
Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Fractional partial differential equations (35R11)
Related Items (2)
Maximum principles and qualitative properties of solutions for nonlocal double phase operator ⋮ Asymptotic behavior and classification of solutions to Hartree type equations with exponential nonlinearity
Cites Work
- Unnamed Item
- A direct method of moving planes for the fractional Laplacian
- Subcritical approach to sharp Hardy-Littlewood-Sobolev type inequalities on the upper half space
- Exact solutions of nonlinear conformally invariant integral equations in \(\mathbf R^3\)
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- 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
- Remark on some conformally invariant integral equations: the method of moving spheres
- Gradient estimates for harmonic and \(q\)-harmonic functions of symmetric stable processes.
- Some nonexistence results for positive solutions of elliptic equations in unbounded domains.
- Uniqueness theorems through the method of moving spheres
- Sharp reversed Hardy-Littlewood-Sobolev inequality on \(\mathbf{R}^{n}\)
- 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 \({\mathbb{R}}^2\)
- Classification of solutions for some elliptic system
- Liouville type theorems, a priori estimates and existence of solutions for critical and super-critical order Hardy-Hénon type equations in \(\mathbb{R}^n\)
- A priori bounds for positive solutions of nonlinear elliptic equations
- Classification of Solutions of a Conformally Invariant Third Order Equation in ℝ3
- A necessary and sufficient condition for the nirenberg problem
- An Extension Problem Related to the Fractional Laplacian
- Liouville Type Theorems for Positive Solutions of Elliptic System in ℝN
- Classification of Nonnegative Solutions to Static Schrödinger--Hartree--Maxwell Type Equations
- Liouville-type theorems for higher-order Lane–Emden system in exterior domains
- Liouville-Type Theorems for Fractional and Higher-Order Hénon–Hardy Type Equations via the Method of Scaling Spheres
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