ON THE GROWTH OF SUPERHARMONIC FUNCTIONS NEAR AN ISOLATED SINGULARITY. II

DOI10.1081/PDE-100002386zbMath0979.31003OpenAlexW3139665717MaRDI QIDQ2747903

Steven D. Taliaferro

Publication date: 24 February 2002

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-100002386

zbMATH Keywords

Laplacianpositive functionsisolated singularityarbitrarily large functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Second-order elliptic equations (35J15)

Related Items (4)

Isolated singularities of polyharmonic operator in even dimension ⋮ Pointwise bounds and blow-up for nonlinear polyharmonic inequalities ⋮ Refined asymptotic estimates for conformal scalar curvature equation via moving sphere method ⋮ Local behavior and global existence of positive solutions of \(au^\lambda\leq -\Delta u\leq u^\lambda\).

Cites Work

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• Isolated singularities in semilinear problems
• Local behavior of solutions of some elliptic equations
• Isolated singularities of solutions of quasi-linear equations
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• FURTHER STUDIES OF EMDEN'S AND SIMILAR DIFFERENTIAL EQUATIONS

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