Classification of solutions for an integral system with negative exponents on half space

DOI10.1080/00036811.2020.1770735zbMath1486.45009OpenAlexW3029169571MaRDI QIDQ3389522

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Publication date: 23 March 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1770735

zbMATH Keywords

regularityasymptotic behaviormethod of moving spheres

Mathematics Subject Classification ID

Asymptotics of solutions to integral equations (45M05) Systems of nonlinear integral equations (45G15) Positive solutions of integral equations (45M20)

Cites Work

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• On the integral systems with negative exponents
• Liouville theorem for an integral system on the upper half space
• Liouville type theorems for PDE and IE systems involving fractional Laplacian on a half space
• Subcritical approach to sharp Hardy-Littlewood-Sobolev type inequalities on the upper half space
• Exact solutions of nonlinear conformally invariant integral equations in \(\mathbf R^3\)
• Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality
• Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Uniqueness theorem for integral equations and its application
• Weighted Hardy-Littlewood-Sobolev inequalities and systems of integral equations
• Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
• Symmetry and related properties via the maximum principle
• Best constants in Young's inequality, its converse, and its generalization to more than three functions
• On uniqueness of solutions of \(n\)-th order differential equations in conformal geometry
• Blowup analysis for integral equations on bounded domains
• Remark on some conformally invariant integral equations: the method of moving spheres
• Uniqueness theorems through the method of moving spheres
• Stein-Weiss inequalities with the fractional Poisson kernel
• Negative power nonlinear integral equations on bounded domains
• Sharp reversed Hardy-Littlewood-Sobolev inequality on \(\mathbf{R}^{n}\)
• Symmetry and monotonicity of positive solutions for an integral system with negative exponents
• Classification of nonnegative solutions to static Schrödinger-Hartree and Schrödinger-Maxwell Equations with combined nonlinearities
• Nonlinear biharmonic equations with negative exponents
• Liouville type results and regularity of the extremal solutions of biharmonic equation with negative exponents
• Properties of positive solutions to an elliptic equation with negative exponent
• A symmetry problem in potential theory
• Symmetry and Regularity of Solutions to the Weighted Hardy–Sobolev Type System
• A New, Rearrangement-free Proof of the Sharp Hardy–Littlewood–Sobolev Inequality
• Reversed Hardy–Littewood–Sobolev Inequality
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Weighted inequalities and Stein-Weiss potentials
• Sharp Reversed Hardy–Littlewood–Sobolev Inequality on the Half Space $\mathbf{R}_+^n$
• Reverse Stein–Weiss inequalities and existence of their extremal functions
• A necessary and sufficient condition for the nirenberg problem
• Sharp Hardy–Littlewood–Sobolev Inequality on the Upper Half Space
• A Liouville Type Theorem for Poly-harmonic System with Dirichlet Boundary Conditions in a Half Space
• The best constant in a weighted Hardy-Littlewood-Sobolev inequality
• Classification of solutions for an integral equation
• Uniqueness theorems for surfaces in the large. I, II, III, IV, V
• Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality

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