Positive solutions of Lane-Emden systems with negative exponents: existence, boundary behavior and uniqueness

DOI10.1016/j.na.2011.05.038zbMath1225.35109OpenAlexW2036168245MaRDI QIDQ555075

Zhijun Zhang

Publication date: 22 July 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.05.038

zbMATH Keywords

existenceuniquenesssemilinear elliptic systemsDirichlet problemsboundary behaviorsingular terms

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (12)

Global behavior of positive solutions of a generalized Lane-Emden system of nonlinear differential equations ⋮ An elliptic system with singular nonlinearities: Existence via non variational arguments ⋮ Uniformly bounded weak and classical solutions to a singular parabolic system and applications ⋮ Existence of solutions to a non-variational singular elliptic system with unbounded weights ⋮ Symmetry analysis of the bidimensional Lane-Emden systems ⋮ Bounded solutions to a singular parabolic system ⋮ Classification of positive solutions to a Lane-Emden type integral system with negative exponents ⋮ Existence of positive solutions for a class of singular and quasilinear elliptic problems with critical exponential growth ⋮ Existence and asymptotic behavior of positive solutions of a semilinear elliptic system in a bounded domain ⋮ Existence and nonexistence of solutions for a quasilinear elliptic system ⋮ On a class of singular elliptic systems ⋮ Existence and non-existence of solutions for an elliptic system

Cites Work

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