On a singular elliptic boundary value problem in a ball

DOI10.1016/0362-546X(89)90004-7zbMath0707.35058OpenAlexW2004403274MaRDI QIDQ3488516

Hiroyuki Usami

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0362-546x(89)90004-7

zbMATH Keywords

positive solutionselliptic boundary value problem

Mathematics Subject Classification ID

Related Items (28)

Existence and optimal estimates of solutions for singular nonlinear Dirichlet problems ⋮ Positive solutions of nonlinear elliptic singular boundary value problems in a ball. ⋮ Existence and global asymptotic behavior of singular positive solutions for radial Laplacian ⋮ Existence and global asymptotic behavior of positive solutions for combined second-order differential equations on the half-line ⋮ Positive solutions for Dirichlet problems associated to semilinear elliptic equations with singular nonlinearity ⋮ Positive solution for singular boundary value problems ⋮ On a singular nonlinear Dirichlet problem—III ⋮ An existence and uniqueness result for the singular Lane-Emden-Fowler equation ⋮ The boundary value problem for quasilinear degenerate and singular elliptic systems ⋮ Classical radial solutions for singular and degenerate elliptic equations ⋮ Existence and global asymptotic behavior of positive solutions for nonlinear problems on the half-line ⋮ On a singular nonlinear dirichlet problem—IV ⋮ Asymptotic Behavior of The Unique Solution to a Singular Elliptic Problem With Nonlinear Convection Term And Singular Weight ⋮ Positive solutions for some boundary value problems via a new fixed point theorem ⋮ Existence and uniqueness of positive solutions for singular nonlinear elliptic boundary value problems ⋮ A note on fractional \(p\)-Laplacian problems with singular weights ⋮ Positive radial solutions of a singular elliptic equation with sign changing nonlinearities ⋮ New fixed point theorems for mixed monotone operators and local existence-uniqueness of positive solutions for nonlinear boundary value problems ⋮ Existence of positive solutions of singular elliptic boundary value problems in a ball ⋮ On a singular quasilinear elliptic boundary value problem in a ball ⋮ Existence theorem of nonlinear singular boundary value problem ⋮ Superlinear elliptic equations with singular coefficients on the boundary ⋮ Boundary behaviour of the unique solution to a singular Dirichlet problem with a convection term ⋮ Existence of positive solutions for \(m\)-Laplacian boundary value problems ⋮ Trace inequalities of the Sobolev type and nonlinear Dirichlet problems ⋮ Positive solutions of a Hammerstein integral equation with a singular nonlinear term. II ⋮ The asymptotic behaviour of the unique solution for the singular Lane-Emden-Fowler equation ⋮ On the existence of positive solutions of a singular nonlinear differential equation

Cites Work

• Existence theorems for a class of non-linear integral equations
• A nonlinear singular boundary value problem
• On a dirichlet problem with a singular nonlinearity
• Boundary value problems for quasilinear second order elliptic equations
• On a Singular Nonlinear Elliptic Problem
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