On some quasimetrics and their applications

DOI10.1155/2009/167403zbMath1188.35061OpenAlexW2115676240WikidataQ59218564 ScholiaQ59218564MaRDI QIDQ962412

Imed Bachar, Habib Maagli

Publication date: 7 April 2010

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/226588

zbMATH Keywords

Green's functionDirichlet boundary conditionsfractional Laplacianquasi-metricNavier boundary conditionspolyharmonic Laplacian

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Higher-order elliptic equations (35J30) Applications of functional analysis to differential and integral equations (46N20) Fractional partial differential equations (35R11) Green's functions for elliptic equations (35J08)

Related Items (1)

Metrics and quasimetrics induced by point pair function

Cites Work

• Estimates on Green functions and Poisson kernels for symmetric stable processes
• Maximum and anti-maximum principles and eigenfunctions estimates via perturbation theory of positive solutions of elliptic equations
• Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions
• Estimates on the Green function and existence of positive solutions for some polyharmonic nonlinear equations in the half space
• Inequalities for Green functions in a Dini-Jordan domain in \(\mathbb{R}^2\)
• Estimates for the Green function and singular solutions for polyharmonic nonlinear equation
• General gauge and conditional gauge theorems
• Nonlinear equations and weighted norm inequalities
• Sharp estimates for iterated Green functions
• Classical solutions for some higher order semilinear elliptic equations under weak growth conditions

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