Local behavior and global existence of positive solutions of \(au^\lambda\leq -\Delta u\leq u^\lambda\).

DOI10.1016/S0294-1449(02)00105-1zbMath1039.35145OpenAlexW1983272323MaRDI QIDQ1861112

Steven D. Taliaferro

Publication date: 2002

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2002__19_6_889_0

zbMATH Keywords

behaviour near the origin of \(C^2\) positive solutionsexistence of \(C^2\) positive solutions

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (4)

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Cites Work

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• On the growth of superharmonic functions near an isolated singularity. I
• Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.
• Local asymptotic symmetry of singular solutions to nonlinear elliptic equations
• ON THE GROWTH OF SUPERHARMONIC FUNCTIONS NEAR AN ISOLATED SINGULARITY. II
• Singular solutions of some nonlinear elliptic equations
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Estimates of the conformal scalar curvature equation via the method of moving planes
• FURTHER STUDIES OF EMDEN'S AND SIMILAR DIFFERENTIAL EQUATIONS
• Isolated singularities of nonlinear elliptic inequalities

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