Year: 2014
Author: Mohamed Amine Ben Boubaker
Journal of Partial Differential Equations, Vol. 27 (2014), Iss. 3 : pp. 200–216
Abstract
We find and prove 3G inequalities for the Laplacian Green function with the Dirichlet boundary condition, which are applied to show the existence of positive continuous solutions of the nonlinear equation Δu-Vu=g(⋅,u), where V and g are Borel measurable functions, required to satisfy suitable assumptions related to a new functional class J. Our approach uses the Schauder fixed point theorem.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v27.n3.2
Journal of Partial Differential Equations, Vol. 27 (2014), Iss. 3 : pp. 200–216
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Green function