Positive solutions for a singular nonlinear problem on a bounded domain in \(\mathbb R^2\)

DOI10.1023/A:1020559619108zbMath1028.34030OpenAlexW130978341MaRDI QIDQ1868133

Noureddine Zeddini

Publication date: 27 April 2003

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1020559619108

zbMATH Keywords

maximum principleSchauder fixed-point theoremGreen functionsuperharmonic functionsingular elliptic equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Green's functions for ordinary differential equations (34B27) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (16)

Minimax methods for singular elliptic equations with an application to a jumping problem ⋮ Existence and global behavior of positive solutions for some eigenvalue problems ⋮ Existence of positive continuous weak solutions for some semilinear elliptic eigenvalue problems ⋮ A note on the Kato class and some applications ⋮ Existence of positive bounded solutions of semilinear elliptic problems ⋮ On a new Kato class and positive solutions of Dirichlet problems for the fractional Laplacian in bounded domains ⋮ Unnamed Item ⋮ On the subordinate killed B.M in bounded domains and existence results for nonlinear fractional Dirichlet problems ⋮ Singular solutions of a nonlinear equation in a punctured domain of \(\mathbb{R}^{2}\) ⋮ On the existence of positive solutions of singular nonlinear elliptic equations with Dirichlet boundary conditions ⋮ A survey of elliptic Kato classes and some applications for partial differential equations ⋮ Asymptotic behavior of positive solutions of a nonlinear Dirichlet problem ⋮ Existence of positive solutions for nonlinear boundary value problems in bounded domains of \(\mathbb R^n\) ⋮ Estimates for the Green function and existence of positive solutions for higher-order elliptic equations ⋮ Asymptotic behavior of positive solutions of a singular nonlinear Dirichlet problem ⋮ Exact asymptotic behavior near the boundary to the solution for singular nonlinear Dirichlet problems

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