The properties of positive solutions to an integral system involving Wolff potential

DOI10.3934/dcds.2014.34.1879zbMath1277.45003OpenAlexW2312590008MaRDI QIDQ379849

Huan Chen, Zhong-Xue Lü

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.1879

zbMATH Keywords

decay ratesintegrabilitymethod of moving planesradial symmetryWolff potentialregularity lifting

Mathematics Subject Classification ID

Asymptotics of solutions to integral equations (45M05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Singular nonlinear integral equations (45G05) Positive solutions of integral equations (45M20)

Related Items (10)

Maximum principles for the fractional p-Laplacian and symmetry of solutions ⋮ On the Wolff-type integral system with negative exponents ⋮ Asymptotic and optimal Liouville properties for Wolff type integral systems ⋮ Integrability, regularity and symmetry of positive integrable solutions for Wolff type integral systems ⋮ A Hopf type lemma for fractional equations ⋮ Symmetry and nonexistence of positive solutions to fractional \(p\)-Laplacian equations ⋮ A characterization of fast decaying solutions for quasilinear and Wolff type systems with singular coefficients ⋮ Wolff type potential estimates and application to nonlinear equations with negative exponents ⋮ Radial symmetry for a weighted integral equation of Wolff type ⋮ Maximum principles for a fully nonlinear fractional order equation and symmetry of solutions

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