Quasilinear elliptic equations with boundary blow-up

DOI10.1007/BF02787108zbMath0893.35032MaRDI QIDQ2565380

Jerk Matero

Publication date: 11 June 1998

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

\(p\)-Laplaciancomparison functionsscaling argumentasymptotic behaviour near the boundary

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Related Items (40)

Symmetry for boundary blow up solutions of elliptic equations in a half-space ⋮ Existence and asymptotic behavior of blow-up solutions to weighted quasilinear equations ⋮ Uniqueness and layer analysis for boundary blow up solutions ⋮ The influence of sources terms on the boundary behavior of the large solutions of quasilinear elliptic equations: The power like case ⋮ Expanding the asymptotic explosive boundary behavior of large solutions to a semilinear elliptic equation ⋮ Boundary behavior of large solutions to \(p\)-Laplacian elliptic equations ⋮ Exact multiplicity for boundary blow-up solutions ⋮ Remarks on uniqueness of boundary blow-up solutions ⋮ Large viscosity solutions for some fully nonlinear equations ⋮ Existence and asymptotic behavior of blow-up solutions to a class of \(p(x)\)-Laplacian problems ⋮ Boundedness and blow-up of solutions for a nonlinear elliptic system ⋮ The Keller-Osserman problem for the k-Hessian operator ⋮ Layer profiles of solutions to elliptic problems under parameter-dependent boundary conditions ⋮ Existence and asymptotic behavior of boundary blow-up solutions for weighted \(p(x)\)-Laplacian equations with exponential nonlinearities ⋮ Nonlinear parabolic problem with/without an explosive condition on the boundary ⋮ Sufficient and necessary conditions on the existence and estimates of boundary blow-up solutions for singular \(p\)-Laplacian equations ⋮ Boundary blow-up solutions of \(p\)-Laplacian elliptic equations with lower order terms ⋮ Large solutions for a nonhomogeneous quasilinear elliptic problem ⋮ Necessary and sufficient conditions for existence of blow‐up solutions for elliptic problems in Orlicz–Sobolev spaces ⋮ Boundary blow-up solutions and their applications in quasilinear elliptic equations ⋮ Large solutions of elliptic semilinear equations non-degenerate near the boundary ⋮ Solutions ofp-Laplace Equations with Infinite Boundary Values: The case of Non-Autonomous and Non-Monotone Nonlinearities ⋮ Transition-layer solutions of quasilinear elliptic boundary blow-up problems and Dirichlet problems ⋮ Remarks on Existence of Large Solutions for p-Laplacian Equations with Strongly Nonlinear Terms Satisfying the Keller-Osserman Condition ⋮ Large solutions for an elliptic system of quasilinear equations ⋮ On boundary blow-up solutions to equations involving the \(\infty \)-Laplacian ⋮ Structure of boundary blow-up solutions for quasi-linear elliptic problems. II: Small and intermediate solutions ⋮ Large solutions to an anisotropic quasilinear elliptic problem ⋮ Refined asymptotic behavior and uniqueness of large solutions to a quasilinear elliptic equation in a borderline case ⋮ The Bieberbach-Rademacher problem for the Monge-Ampère operator ⋮ Large solutions with a power nonlinearity given by a variable exponent for \(p\)-Laplacian equations ⋮ Exact boundary behavior of large solutions to semilinear elliptic equations with a nonlinear gradient term ⋮ On weak solutions of nonlinear weighted \(p\)-Laplacian elliptic inequalities ⋮ Boundary blow-up solutions to degenerate elliptic equations with non-monotone inhomogeneous terms ⋮ On the existence of solutions to the Monge-Ampère equation with infinite boundary values ⋮ Blow-up solutions for a \(p\)-Laplacian elliptic equation of logistic type with singular nonlinearity ⋮ Asymptotic behavior and uniqueness of blow-up solutions of quasilinear elliptic equations ⋮ Large solutions of elliptic semilinear equations in the borderline case. an exhaustive and intrinsic point of view ⋮ Large solutions for the elliptic 1-Laplacian with absorption ⋮ Initial and boundary blow-up problem for \(p\)-Laplacian parabolic equation with general absorption

Cites Work

• Über ganze Lösungen der Differentialgleichung \(\Delta u=f(u)\)
• On the inequality \(\Delta u \geqq f (u)\)
• On a quasilinear elliptic equation and a Riemannian metric invariant under Möbius transformations
• `Large' solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour
• Asymptotic behaviour of solutions and their derivatives, for semilinear elliptic problems with blowup on the boundary
• Boundary-blow-up problems in a fractal domain
• Ganze Lösungen der Differentialgleichung \(\Delta u=e^u\)
• On solutions of δu=f(u)
• On a Singular Nonlinear Elliptic Boundary-Value Problem
• On a problem of Bieberbach and Rademacher
• Explosive solutions of quasilinear elliptic equations: existence and uniqueness
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Quasilinear elliptic equations with boundary blow-up