Nonnegative radial solutions to a class of elliptic equations involving the Pucci's extremal operator

DOI10.1016/j.jmaa.2007.10.004zbMath1135.35044OpenAlexW2058283801MaRDI QIDQ2474945

Wei Li, Jiangang Cheng

Publication date: 6 March 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.10.004

zbMATH Keywords

nonlinear elliptic equationLeray-Schauder degreePucci's extremal operatornonnegative radial solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60)

Related Items (3)

Liouville theorems for fully nonlinear elliptic equations on spherically symmetric Riemannian manifolds ⋮ Existence and multiplicity results for Pucci's operators involving nonlinearities with zeros ⋮ On the existence of positive solutions to a certain class of semilinear elliptic equations

Cites Work

• On critical exponents for the Pucci's extremal operators.
• On the Liouville property for fully nonlinear equations
• Nonlinear eigenvalues and bifurcation problems for Pucci's operators
• Positive radial solutions to a {\` semilinear\'} equation involving the Pucci's operator
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