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Journal of Differential Equations
Article . 2016 . Peer-reviewed
License: Elsevier Non-Commercial
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2016
Data sources: zbMATH Open
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A singular semilinear problem with dependence on the gradient

Authors: FARACI, FRANCESCA; PUGLISI, DANIELE;

A singular semilinear problem with dependence on the gradient

Abstract

This paper is concerned with the study of positive solutions of a class of semilinear elliptic equations with singular nonlinearity, gradient term, and Dirichlet boundary condition. The authors establish sufficient conditions for the existence of classical and weak solutions. The approach combines the method of lower and upper solutions with fixed point theory arguments.

Related Organizations
Keywords

Variational methods for second-order elliptic equations, fixed point theory, Positive solutions to PDEs, variational methods, weak and classical solutions, Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian, Strong solutions to PDEs, Weak solutions to PDEs, singularity, dependence on the gradient

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
23
Top 10%
Top 10%
Average
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