Local gradient estimates and existence of blow-up solutions to a class of quasilinear elliptic equations.

DOI10.1016/S0022-247X(03)00058-1zbMath1284.35190MaRDI QIDQ1874439

Emilio Bello Castillo, René Letelier Albornoz

Publication date: 25 May 2003

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

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Blow-up in context of PDEs (35B44) Quasilinear elliptic equations (35J62)

Related Items

Boundary blow-up solutions for a class of elliptic equations on a bounded domain ⋮ Large solutions for quasilinear elliptic equation with nonlinear gradient term ⋮ Existence of large solutions for a quasilinear elliptic problem via explosive sub-supersolutions ⋮ Estimates for large solutions of a quasilinear elliptic equation ⋮ Estimates for blow-up solutions to nonlinear elliptic equations with \(p\)-growth in the gradient ⋮ The asymptotic behaviour of solutions with boundary blow-up for semilinear elliptic equations with nonlinear gradient terms ⋮ Exact boundary behavior of large solutions to semilinear elliptic equations with a nonlinear gradient term

Cites Work

• On the inequality \(\Delta u \geqq f (u)\)
• Résolution de problèmes elliptiques quasilineaires
• Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I: The model problem
• Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations
• Asymptotic estimates and convexity of large solutions to semilinear elliptic equations
• Quelques remarques sur les problèmes elliptiques quasilinéaires du second ordre. (Some remarks on second order quasilinear elliptic problems)
• Boundary blow up for semilinear elliptic equations with nonlinear gradient terms
• On singular boundary value problems for the Monge-Ampère operator
• A necessary and sufficient condition for existence of large solutions to semilinear elliptic equations
• On second-order effects in the boundary behaviour of large solutions of semilinear elliptic problems.
• Uniqueness and asymptotic behaviour for solutions of semilinear problems with boundary blow-up
• On solutions of δu=f(u)
• Superdiffusions and removable singularities for quasilinear partial differential equations
• Symmetry and multiplicity for nonlinear elliptic differential equations with boundary blow-up
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
• The influence of domain geometry in boundary blow-up elliptic problems.
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