Existence and uniqueness of positive solutions for singular nonlinear elliptic boundary value problems

DOI10.1016/j.na.2007.08.049zbMath1155.35375OpenAlexW2009164430MaRDI QIDQ949702

Daqing Jiang, Xiaoning Lin, Pei Dong Lei

Publication date: 21 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.na.2007.08.049

zbMATH Keywords

existenceuniquenessiterative methodsingularitypositive solutionDirichlet boundary value problemsmixed monotone operator

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Theoretical approximation in context of PDEs (35A35)

Related Items (8)

Fixed point theorems for the sum of three classes of mixed monotone operators and applications ⋮ Existence and uniqueness of fixed point for mixed monotone ternary operators with application ⋮ Fixed point theorems for mixed monotone operators with perturbation and applications to fractional differential equation boundary value problems ⋮ Positive solutions for fourth-order singular \(p\)-Laplacian differential equations with integral boundary conditions ⋮ Existence and uniqueness of iterative positive solutions for singular Hammerstein integral equations ⋮ Fixed point theorems for a class of mixed monotone operators with convexity ⋮ New fixed point theorems for mixed monotone operators and local existence-uniqueness of positive solutions for nonlinear boundary value problems ⋮ Nontrivial solutions for a nonlinear discrete elliptic equation with periodic boundary conditions

Cites Work

• Solutions d'équations elliptiques semi-linéaires singulières. (Solutions of singular semilinear elliptic equations)
• Classical and weak solutions of a singular semilinear elliptic problem
• Singular boundary value problems for superlinear second order ordinary and delay differential equations
• Multiplicity for semilinear elliptic equations involving singular nonlinearity
• Existence and uniqueness of solutions for singular fourth-order boundary value problems
• Linear and quasilinear elliptic equations
• A degenerate diffusion equation with a nonlinear source term
• On a Singular Nonlinear Elliptic Boundary-Value Problem
• On a singular elliptic boundary value problem in a ball
• On a dirichlet problem with a singular nonlinearity
• Fixed points of mixed monotone operators with applications
• On a singular nonlinear semilinear elliptic problem
• On a Singular Nonlinear Elliptic Problem
• Existence Theory for Singular Initial and Boundary Value Problems: A Fixed Point Approach
• Equivalent Norms for Sobolev Spaces
• Positive solutions for singular nonlinear elliptic equations
• Quadratic forms and nonlinear non-resonant singular second order boundary value problems of limit circle type
• Existence theory for single and multiple solutions to singular positone boundary value problems
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Existence and uniqueness of positive solutions for singular nonlinear elliptic boundary value problems