Existence and multiplicity results for Pucci's operators involving nonlinearities with zeros

DOI10.1007/s00526-011-0465-0zbMath1258.35093OpenAlexW1984982059MaRDI QIDQ690644

Salomón Alarcón, Leonelo Iturriaga, Alexander Quaas

Publication date: 28 November 2012

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/128416

zbMATH Keywords

solutionspositive viscosityPucci's extremal operator

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Viscosity solutions to PDEs (35D40)

Related Items (8)

Multiplicity of solutions for some semilinear problems involving nonlinearities with zeros ⋮ Global bifurcation from intervals for problems with Pucci's operator ⋮ Existence of solutions to fully nonlinear elliptic equations with gradient nonlinearity ⋮ Liouville type theorem and decay estimates for solutions of fully nonlinear elliptic equation ⋮ Generalized limit theorem and bifurcation for problems with Pucci's operator ⋮ Semilinear elliptic equations and nonlinearities with zeros ⋮ Existence and multiplicity for Hamilton-Jacobi-Bellman equation ⋮ Nonnegative solutions for the fractional Laplacian involving a nonlinearity with zeros

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