A priori estimates of positive solutions for sublinear elliptic equations

DOI10.1090/S0002-9947-09-04875-2zbMath1178.35173OpenAlexW2050997189MaRDI QIDQ3631875

Ryuji Kajikiya

Publication date: 22 June 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-09-04875-2

zbMATH Keywords

comparison theoremsublinear elliptic equationweak supersolutions and subsolutions

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)

Related Items (3)

A comparison principle for the Lane-Emden equation and applications to geometric estimates ⋮ Convex duality for principal frequencies ⋮ Positive solution for the elliptic problems with sublinear and superlinear nonlinearities

Cites Work

• Comparison theorem and uniqueness of positive solutions for sublinear elliptic equations
• Positive solution for semilinear elliptic equation on general domain.
• Remarks on sublinear elliptic equations
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Positive solutions of sublinear elliptic boundary value problems
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