Estimates on the Green's function and existence of positive solutions of nonlinear singular elliptic equations in the half space

DOI10.1007/S11117-003-2713-9zbMath1151.35304OpenAlexW2043042983MaRDI QIDQ850552

Imed Bachar, Habib Maagli

Publication date: 3 November 2006

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-003-2713-9

zbMATH Keywords

maximum principleGreen functionSchauder fixed point theoremsuperharmonic functionsingular elliptic equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Fundamental solutions to PDEs (35A08) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Green's functions for ordinary differential equations (34B27)

Related Items (8)

Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition ⋮ Positive solutions of a semilinear elliptic equation with singular Dirichlet boundary data ⋮ A note on the Kato class and some applications ⋮ Positive continuous solutions for some semilinear elliptic problems in the half space ⋮ Unnamed Item ⋮ A survey of elliptic Kato classes and some applications for partial differential equations ⋮ Existence of positive solutions of a semilinear elliptic equation with a dynamical boundary condition ⋮ On a parabolic problem with nonlinear term in a half space and global behavior of solutions

Cites Work

• On the existence of positive solutions of nonlinear elliptic equations -- a probabilistic potential theory approach
• Classical and weak solutions of a singular semilinear elliptic problem
• Entire solutions of singular elliptic equations
• Entire solution of a singular semilinear elliptic problem
• Schrödinger semigroups
• Subcriticality and Gaugeability of the Schrodinger Operator
• Positive solutions of nonlinear elliptic equations in the Euclidean plane
• Nonlinear equations and weighted norm inequalities
• Existence and estimates of solutions for singular nonlinear elliptic problems

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