QUASILINEAR ELLIPTIC EQUATIONS WITH SINGULAR QUADRATIC GROWTH TERMS-Reference-Cited by-同舟云学术

QUASILINEAR ELLIPTIC EQUATIONS WITH SINGULAR QUADRATIC GROWTH TERMS

Published:2011-08 Issue:04 Volume:13 Page:607-642
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

BOCCARDO LUCIO¹,LEONORI TOMMASO²,ORSINA LUIGI¹,PETITTA FRANCESCO³

Affiliation:

1. Dipartimento di Matematica, Università di Roma "La Sapienza", P.le Aldo Moro 2, 00185 Roma, Italy

2. Departamento de Análisis Matemático, Universidad de Granada, Campus Fuentenueva s/n, 18071 Granada, Spain

3. Departamento de Análisis Matemático, Universitat de Valencia, C/ Dr. Moliner 50, 46100 Burjassot, Valencia, Spain

Abstract

In this paper, we deal with positive solutions for singular quasilinear problems whose model is [Formula: see text] where Ω is a bounded open set of ℝN, g ≥ 0 is a function in some Lebesgue space, and γ > 0. We prove both existence and nonexistence of solutions depending on the value of γ and on the size of g.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199711004300

Reference19 articles.

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