Keller-Osserman type conditions for some elliptic problems with gradient terms
From MaRDI portal
Publication:652459
DOI10.1016/j.jde.2011.09.033zbMath1235.35096OpenAlexW2080826648MaRDI QIDQ652459
Alexander Quaas, Salomón Alarcón, Jorge García-Melián
Publication date: 14 December 2011
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2011.09.033
Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
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- On the inequality \(\Delta u \geqq f (u)\)
- Expanding the asymptotic explosive boundary behavior of large solutions to a semilinear elliptic equation
- Boundary blow-up elliptic problems with nonlinear gradient terms
- Boundary blow-up elliptic problems of Bieberbach and Rademacher type with nonlinear gradient terms
- Boundary behavior for large solutions to elliptic equations with singular weights
- Uniqueness of positive solutions for a boundary blow-up problem
- Résolution de problèmes elliptiques quasilineaires
- Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I: The model problem
- Asymptotic behavior of solutions of boundary blow-up problems
- `Large' solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour
- Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations
- Existence of two boundary blow-up solutions for semilinear elliptic equations
- The boundary blow-up rate of large solutions.
- Uniqueness and boundary behavior of large solutions to elliptic problems with singular weights
- Uniqueness of the blow-up boundary solution of logistic equations with absorbtion.
- Explosive solutions of elliptic equations with absorption and non-linear gradient term
- Asymptotics for the blow-up boundary solution of the logistic equation with absorption.
- Existence and uniqueness results for large solutions of general nonlinear elliptic equations
- Asymptotic behaviour of solutions and their derivatives, for semilinear elliptic problems with blowup on the boundary
- Boundary blow up for semilinear elliptic equations with nonlinear gradient terms
- Large solutions of semilinear elliptic equations with nonlinear gradient terms
- On second-order effects in the boundary behaviour of large solutions of semilinear elliptic problems.
- A note on the strong maximum principle and the compact support principle
- Optimal uniqueness theorems and exact blow-up rates of large solutions
- Local estimates and large solutions for some elliptic equations with absorption
- Linear and quasilinear elliptic equations
- Uniqueness and asymptotic behaviour for solutions of semilinear problems with boundary blow-up
- On solutions of δu=f(u)
- The Boundary Behavior of Blow-Up Solutions Related to a Stochastic Control Problem with State Constraint
- Boundary blow-up elliptic problems with nonlinear gradient terms and singular weights
- 3.—A Criterion for the Existence of Solutions of Non-linear Elliptic Boundary Value Problems
- On a problem of Bieberbach and Rademacher
- Multiple boundary blow-up solutions for nonlinear elliptic equations
- On an elliptic problem with boundary blow-up and a singular weight: the radial case
- Asymptotic behaviour of large solutions of an elliptic quasilinear equation in a borderline case
- Dependence of blowup rate of large solutions of semilinear elliptic equations, on the curvature of the boundary
- Blow-Up Solutions for a Class of Semilinear Elliptic and Parabolic Equations
- Explosive solutions of quasilinear elliptic equations: existence and uniqueness
- Uniqueness for boundary blow-up problems with continuous weights
- Large Solutions For a Class of Nonlinear Elliptic Equations With Gradient Terms
- Back to the Keller-Osserman Condition for Boundary Blow-up Solutions
- On Uniqueness of Boundary Blow-Up Solutions of a Class of Nonlinear Elliptic Equations
- The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
- General uniqueness results and variation speed for blow-up solutions of elliptic equations
- On the strong maximum principle for quasilinear elliptic equations and systems.
- The influence of domain geometry in boundary blow-up elliptic problems.