Positive radial solutions for multiparameter Dirichlet systems with mean curvature operator in Minkowski space and Lane-Emden type nonlinearities

DOI10.1016/j.jde.2018.10.030zbMath1421.35086OpenAlexW2899371802MaRDI QIDQ1736166

Daniela Gurban, Petru Jebelean

Publication date: 26 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.jde.2018.10.030

zbMATH Keywords

Dirichlet problempositive solutionsMinkowski curvature operatorLane-Emden nonlinearities

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09)

Related Items

On a power-type coupled system with mean curvature operator in Minkowski space, Radial non-potential Dirichlet systems with mean curvature operator in Minkowski space, Multiplicity of positive radial solutions for systems with mean curvature operator in Minkowski space, Positive radial solutions for Dirichlet problem of quasilinear differential system with mean curvature operator in Minkowski space, Positive solutions for discrete Minkowski curvature systems of the Lane-Emden type, Positive radial solutions for Dirichlet problems in the ball, \(k\)-convex solutions for multiparameter Dirichlet systems with \(k\)-Hessian operator and Lane-Emden type nonlinearities, Multiplicity of positive radial solutions of singular Minkowski-curvature equations, Non-potential and non-radial Dirichlet systems with mean curvature operator in Minkowski space, Existence and multiplicity of positive periodic solutions to Minkowski-curvature equations without coercivity condition

Cites Work

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• On the lower and upper solution method for the prescribed mean curvature equation in Minkowski space
• The Dirichlet problem for gradient dependent prescribed mean curvature equations in the Lorentz-Minkowski space
• Positive radial solutions of the Dirichlet problem for the Minkowski-curvature equation in a ball
• The homogeneous Hénon-Lane-Emden system
• Existence of positive radial solutions for a semilinear elliptic system without variational structure
• On Lane-Emden type systems
• Spacelike hypersurfaces with prescribed boundary values and mean curvature
• H-surfaces in Lorentzian manifolds
• Entire spacelike hypersurfaces of constant mean curvature in Minkowski space
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• A variational approach to subquadratic perturbations of elliptic systems
• Existence and nonexistence of positive singular solutions for a class of semilinear elliptic systems
• Existence of positive solutions for a nonvariational quasilinear elliptic system
• Some remarks on a system of quasilinear elliptic equations
• A priori estimates for a semilinear elliptic system without variational structure and their applications
• Existence of multiple positive radial solutions for a semilinear elliptic system on an unbounded domain.
• Boundary blow-up solutions to elliptic systems of competitive type
• Non-existence of positive solutions of Lane-Emden systems
• Multiplicity of positive solutions for a \((p_1,p_2)\)-Laplacian system and its applications
• Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space
• Positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space
• The Hénon-Lane-Emden system: a sharp nonexistence result
• Nontrivial solutions for potential systems involving the mean curvature operator in Minkowski space
• Multiple positive radial solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space
• Corrigendum to: The Dirichlet problem with mean curvature operator in Minkowski space
• The Dirichlet Problem with Mean Curvature Operator in Minkowski Space – a Variational Approach
• On positive solutions of the Dirichlet problem involving the extrinsic mean curvature operator
• Positive radial solutions for systems with mean curvature operator in Minkowski space
• Nonlinear elliptic systems
• Global structure of radial positive solutions for a prescribed mean curvature problem in a ball