Viscosity solutions of uniformly elliptic equations without boundary and growth conditions at infinity

DOI10.1155/2011/453727zbMath1237.35041OpenAlexW2144566064WikidataQ58686784 ScholiaQ58686784MaRDI QIDQ762950

Giulio Galise, Antonio Vitolo

Publication date: 8 March 2012

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/453727

zbMATH Keywords

Dirichlet problemviscosity solutionsblow-up resultnonlinear second order equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Blow-up in context of PDEs (35B44) Viscosity solutions to PDEs (35D40)

Related Items (12)

Entire solutions of fully nonlinear elliptic equations with a superlinear gradient term ⋮ On the inequality \(F(x,D^2u)\geq f(u) +g(u)| Du|^q\) ⋮ Generalized Keller-Osserman conditions for fully nonlinear degenerate elliptic equations ⋮ On some degenerate elliptic equations arising in geometric problems ⋮ Existence of positive entire solutions of fully nonlinear elliptic equations ⋮ Maximum principles for viscosity solutions of weakly elliptic equations ⋮ Maximum principles for \(k\)-Hessian equations with lower order terms on unbounded domains ⋮ Large solutions of fully nonlinear equations: existence and uniqueness ⋮ Boundary blow-up solutions to the Monge-Ampère equation: sharp conditions and asymptotic behavior ⋮ A Few Recent Results on Fully Nonlinear PDE’s ⋮ Blow-up solutions for fully nonlinear equations: existence, asymptotic estimates and uniqueness ⋮ Removable singularities for degenerate elliptic equations without conditions on the growth of the solution

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