Uniqueness of positive solutions for a class of semilinear elliptic systems

DOI10.1016/S0362-546X(02)00125-6zbMath1022.35013MaRDI QIDQ1863459

Dang Dinh Hai

Publication date: 11 March 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

uniquenesspositive solutionssystems of semilinear elliptic equations

Mathematics Subject Classification ID

Related Items (18)

Uniqueness of positive solutions for semilinear elliptic systems ⋮ Convex solutions of Monge-Ampère equations and systems: existence, uniqueness and asymptotic behavior ⋮ Uniqueness and existence of positive solutions for some semilinear elliptic systems ⋮ Multiple positive solutions of singularly perturbed differential systems with different orders ⋮ Positive solutions for 2p-order and 2q-order nonlinear ordinary differential systems ⋮ Uniqueness of positive solutions for a class of semipositone elliptic systems ⋮ Existence and uniqueness of nontrivial radial solutions for \(k\)-Hessian equations ⋮ A result on three solutions theorem and its application to \(p\)-Laplacian systems with singular weights ⋮ Blow-up solutions to a \((p,q)\)-Laplacian system with gradient term ⋮ Existence and uniqueness for a class of quasilinear elliptic boundary value problems. ⋮ A coupled \(p\)-Laplacian elliptic system: existence, uniqueness and asymptotic behavior ⋮ Existence and multiplicity results of positive doubly periodic solutions for nonlinear telegraph system ⋮ Existence and uniqueness of positive solutions for a class of semilinear elliptic systems ⋮ A remark on the existence of positive weak solution for a class of \((p,q)\)-Laplacian nonlinear system with sign-changing weight ⋮ Existence of positive solutions for \(2m\)-order nonlinear differential systems ⋮ Uniqueness of positive solutions for a class of elliptic systems ⋮ Solvability of a class of second-order quasilinear boundary value problems ⋮ Positive solutions of singular multiparameter \(p\)-Laplacian elliptic systems

Cites Work

• Unnamed Item
• Symmetry properties in systems of semilinear elliptic equations
• Existence and non-existence of positive solutions of nonlinear elliptic systems and the biharmonic equation
• Existence and uniqueness of positive solutions of semilinear elliptic systems
• Nonzero solutions of boundary value problems for second order ordinary and delay-differential equations
• On the number of positive solutions for nonlinear elliptic equations when a parameter is large
• On the Number of Positive Solutions of Weakly Non-Linear Elliptic Equations when a Parameter is Large
• Positive splutions of semilinear elliptic systems

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