Correlation between two quasilinear elliptic problems with a source term involving the function or its gradient

Haydar Abdel Hamid; Marle Francoise Bidaut-Veron

doi:10.1016/j.crma.2008.10.002

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Correlation between two quasilinear elliptic problems with a source term involving the function or its gradient

Journal article

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Correlation between two quasilinear elliptic problems with a source term involving the function or its gradient

Haydar Abdel Hamid and Marle Francoise Bidaut-Veron

Comptes rendus. Mathématique, Vol.346(23-24), pp.1251-1256

01/12/2008

DOI: https://doi.org/10.1016/j.crma.2008.10.002

Abstract

Mathematics

Physical Sciences

Science & Technology

Thanks to a change of unknown we compare two elliptic quasilinear problems with Dirichlet data in a bounded domain of R-N. The first one, of the form -Delta(p)u = beta(u)|del u|(p) + lambda f(x), where beta is nonnegative, involves a gradient term with natural growth. The second one of the form -Delta(p)u = lambda f(x)(1 + g(v))(p-1) where g is nondecreasing, presents it source term of order 0. The correlation gives new results of existence, nonexistence and Multiplicity for the two problems. To cite this article: H.A. Hamid, M.E Bidaut-Veron, C R. Acad. Sci. Paris, Ser. I 346 (2008). (C) 2008 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

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Title: Correlation between two quasilinear elliptic problems with a source term involving the function or its gradient
Creators - without role: Haydar Abdel Hamid - Fac Sci, CNRS, Lab Math & Phys Theor, UMR 6083, F-37200 Tours, France
Marle Francoise Bidaut-Veron - Fac Sci, CNRS, Lab Math & Phys Theor, UMR 6083, F-37200 Tours, France
Publication Details: Comptes rendus. Mathématique, Vol.346(23-24), pp.1251-1256
Publisher: Elsevier
Number of pages: 6
Identifiers: 9914228308331
Academic Unit: Fahad Bin Sultan University
Language: English
Resource Type: Journal article