Sublinear singular elliptic problems with two parameters.

DOI10.1016/S0022-0396(03)00105-0zbMath1039.35042OpenAlexW2039540267MaRDI QIDQ1419814

Marius Ghergu, Vicenţiu D. Rădulescu

Publication date: 26 January 2004

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

Full work available at URL: https://doi.org/10.1016/s0022-0396(03)00105-0

zbMATH Keywords

maximum principlepositive solutionextremal solutionssingular elliptic equationsublinear boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Bifurcation theory for PDEs on manifolds (58J55)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An iterative method for solution of a boundary value problem in Non- Newtonian fluid flow
• Some singular, nonlinear differential equations arising in boundary layer theory
• On a Dirichlet problem with a singular nonlinearity
• On a singular nonlinear dirichlet problem
• On a Singular Nonlinear Elliptic Boundary-Value Problem
• An elliptic equation with singular nonlinearity
• A Nonlinear Singular Boundary Value Problem in the Theory of Pseudoplastic Fluids
• A global estimate for the gradient in a singular elliptic boundary value problem
• On the Generalized Emden–Fowler Equation
• On a dirichlet problem with a singular nonlinearity
• On a singular nonlinear semilinear elliptic problem
• Some remarks on a singular elliptic boundary value problem
• On a singular nonlinear elliptic equation
• On a Singular Nonlinear Elliptic Problem

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