Large solutions for an elliptic system of quasilinear equations

DOI10.1016/j.jde.2008.04.004zbMath1169.35021OpenAlexW2067582194MaRDI QIDQ959838

Jorge García-Melián

Publication date: 12 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.jde.2008.04.004

zbMATH Keywords

existencepositive solutionselliptic system of quasilinear equations

Mathematics Subject Classification ID

Related Items (12)

Large solutions of quasilinear elliptic system of competitive type: existence and asymptotic behavior ⋮ Dirichlet problems for the \(p\)-Laplacian with a convection term ⋮ Solutions with radial symmetry for a semilinear elliptic system with weights ⋮ Entire large positive radial symmetry solutions for combined quasilinear elliptic system ⋮ Boundary blow-up solutions of \(p\)-Laplacian elliptic equations with lower order terms ⋮ Elliptic systems with boundary blow-up: existence, uniqueness and applications to removability of singularities ⋮ Radial solutions of a nonlinear \(k\)-Hessian system involving a nonlinear operator ⋮ Boundary blow-up solutions for a cooperative system of quasilinear equation ⋮ Large solutions for a cooperative elliptic system of \(p\)-Laplacian equations ⋮ Uniqueness results and asymptotic behavior of solutions with boundary blow-up for logistic-type porous media equations ⋮ Symmetry results of large solutions for semilinear cooperative elliptic systems ⋮ Large solutions to elliptic systems of \(\infty \)-Laplacian equations

Cites Work

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• On the inequality \(\Delta u \geqq f (u)\)
• Existence and uniqueness of positive solutions to the boundary blow-up problem for an elliptic system
• A remark on uniqueness of large solutions for elliptic systems of competitive type
• Regularity for a more general class of quasilinear equations
• Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
• Semilinear elliptic equations with uniform blow-up on the boundary
• `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
• Boundary blow-up solutions and their applications in quasilinear elliptic equations
• The boundary blow-up rate of large solutions.
• A remark on the existence of explosive solutions for a class of semilinear elliptic equations
• Effects of a degeneracy in the competition model. I: Classical and generalized steady-state solutions
• Effects of a degeneracy in the competition model. II: Perturbation and dynamical behaviour
• Uniqueness and boundary behavior of large solutions to elliptic problems with singular weights
• Structure of boundary blow-up solutions for quasi-linear elliptic problems. II: Small and intermediate solutions
• Uniqueness of the blow-up boundary solution of logistic equations with absorbtion.
• Large solutions to some non-linear O.D.E. with singular coefficients.
• Existence and asymptotic behavior of blow-up solutions to weighted quasilinear equations
• Boundary blow-up solutions to elliptic systems of competitive type
• A strong maximum principle for some quasilinear elliptic equations
• Nondegeneracy and uniqueness for boundary blow-up elliptic problems
• Asymptotic behavior and uniqueness results for boundary blow-up solutions.
• Optimal uniqueness theorems and exact blow-up rates of large solutions
• Linear and quasilinear elliptic equations
• Quasilinear elliptic equations with boundary blow-up
• Uniqueness and asymptotic behaviour for solutions of semilinear problems with boundary blow-up
• On solutions of δu=f(u)
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• On The Dirichletproblem for Quasilinear Equations
• Boundary regularity for solutions of degenerate elliptic equations
• On an elliptic problem with boundary blow-up and a singular weight: the radial case
• Effects of Certain Degeneracies in the Predator-Prey Model
• Symmetry and multiplicity for nonlinear elliptic differential equations with boundary blow-up
• Explosive solutions of quasilinear elliptic equations: existence and uniqueness
• Uniqueness for boundary blow-up problems with continuous weights
• Structure of boundary blow-up solutions for quasilinear elliptic problems I. Large and small solutions
• The solvability of an elliptic system under a singular boundary condition
• General uniqueness results and variation speed for blow-up solutions of elliptic equations
• The influence of domain geometry in boundary blow-up elliptic problems.

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