Integrability and asymptotics of positive solutions of a \(\gamma \)-Laplace system

DOI10.1016/j.jde.2011.10.009zbMath1235.35106OpenAlexW2055205893MaRDI QIDQ656184

Yutian Lei, Congming Li

Publication date: 16 January 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.10.009

zbMATH Keywords

integrabilitydecay rateHardy-Littlewood-Sobolev inequalityWolff potential\(\gamma\)-Laplace equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational methods for elliptic systems (35J50) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Singular nonlinear integral equations (45G05) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09)

Related Items (13)

Qualitative properties of positive solutions of quasilinear equations with Hardy terms ⋮ The properties of positive solutions to an integral system involving Wolff potential ⋮ Positive solutions to involving Wolff potentials ⋮ Fast decay estimates for integrable solutions of the Lane-Emden type integral systems involving the Wolff potentials ⋮ 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 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 ⋮ Unnamed Item ⋮ On critical exponents of ak-Hessian equation in the whole space ⋮ A NOTE ON RADIAL SYMMETRY FOR AN INTEGRAL EQUATION OF WOLFF TYPE ⋮ Sharp criteria of Liouville type for some nonlinear systems

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