An existence and uniqueness result for the singular Lane-Emden-Fowler equation

DOI10.1016/j.na.2009.08.016zbMath1180.35256OpenAlexW2081782007MaRDI QIDQ2653952

Ruipeng Song, Chun-Mei Guo, Cheng-Bo Zhai

Publication date: 15 January 2010

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.2009.08.016

zbMATH Keywords

positive solutionexistence and uniquenessfixed point theorem of general \(\alpha \)-concave operatorssingular Lane-Emden-Fowler equation

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (7)

\(\varphi\)-\((h,e)\)-concave operators and applications ⋮ Uniqueness of positive solutions for several classes of sum operator equations and applications ⋮ Positive solutions for a mixed and singular quasilinear problem ⋮ The existence and the uniqueness of symmetric positive solutions for a fourth-order boundary value problem ⋮ LARGE INTERVAL SOLUTION OF THE EMDEN–FOWLER EQUATION USING A MODIFIED ADOMIAN DECOMPOSITION METHOD WITH AN INTEGRATING FACTOR ⋮ Unnamed Item ⋮ Existence of positive solutions to a class of \(p(x)\)-Laplacian equations with singular nonlinearities

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