Positive solutions for Dirichlet problems associated to semilinear elliptic equations with singular nonlinearity

DOI10.1016/0362-546X(93)90108-5zbMath0791.35048OpenAlexW2090304411MaRDI QIDQ4274525

Shang-bin Cui

Publication date: 6 January 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(93)90108-5

zbMATH Keywords

Dirichlet problemexistence of positive solutionsupper and lower solutions methodsingular nonlinearitybounded smooth domainssemilinear second order uniformly elliptic equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (10)

Existence and optimal estimates of solutions for singular nonlinear Dirichlet problems ⋮ The existence and multiplicity of positive solutions for a class of nonlocal elliptic problems ⋮ Some recent results on singular \(p\)-Laplacian equations ⋮ Nonlinear elliptic equations with singular boundary conditions ⋮ Some comparison and uniqueness theorems for nonlinear elliptic boundary value problems and nonlinear parabolic initial-boundary value problems ⋮ Positive solution to extremal Pucci's equations with singular and gradient nonlinearity ⋮ Existence and estimates of solutions to a singular Dirichlet problem for the Monge-Ampère equation ⋮ A boundary-value problem for normalized Finsler infinity-Laplacian equations with singular nonhomogeneous terms ⋮ Singular boundary value problems for the Monge-Ampère equation ⋮ The asymptotic behaviour of the unique solution for the singular Lane-Emden-Fowler equation

Cites Work

• Solutions d'équations elliptiques semi-linéaires singulières. (Solutions of singular semilinear elliptic equations)
• On semilinear elliptic boundary value problems in unbounded domains
• Maximal and minimal solutions of elliptic differential equations with discontinuous non-linearities
• Linear and quasilinear elliptic equations
• On a singular nonlinear dirichlet problem
• Approximation of Solutions of Singular Second Order Boundary Value Problems
• On a Singular Nonlinear Elliptic Boundary-Value Problem
• On a singular elliptic boundary value problem in a ball
• Comparison and Uniqueness of Positive Solutions for the mixed problem for semi-linear Parabolic Equations
• An elliptic equation with singular nonlinearity
• On a dirichlet problem with a singular nonlinearity
• On a Singular Nonlinear Elliptic Problem
• Some Singular Nonlinear Boundary Value Problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Positive solutions for Dirichlet problems associated to semilinear elliptic equations with singular nonlinearity