Axisymmetry of locally bounded solutions to an Euler-Lagrange system of the weighted Hardy-Littlewood-Sobolev inequality
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Publication:1948786
DOI10.3934/DCDS.2013.33.1987zbMath1266.31008OpenAlexW2316242786MaRDI QIDQ1948786
Publication date: 24 April 2013
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2013.33.1987
Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Singular nonlinear integral equations (45G05) Higher-order elliptic systems (35J48)
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Maximum principles for the fractional p-Laplacian and symmetry of solutions ⋮ Monotonicity of positive solutions for fractional \(p\)-systems in unbounded Lipschitz domains ⋮ Weighted polyharmonic equation with Navier boundary conditions in a half space ⋮ A Hopf type lemma for fractional equations ⋮ On the integral systems with negative exponents ⋮ Symmetry and nonexistence of positive solutions of integral systems with Hardy terms ⋮ Maximum principles for a fully nonlinear fractional order equation and symmetry of solutions ⋮ Optimal integrability of some system of integral equations ⋮ Uniform a priori estimates for solutions of higher critical order fractional equations ⋮ Existence of positive solutions for integral systems of the weighted Hardy-Littlewood-Sobolev type ⋮ Symmetry and non-existence of positive solutions for PDE system with Navier boundary conditions on a half space ⋮ The reversed Hardy-Littlewood-Sobolev type integral systems with weights ⋮ Some properties of solutions to the weighted Hardy-Littlewood-Sobolev type integral system
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