Renormalized Solutions of Strongly Nonlinear Elliptic Problems with Lower Order Terms and Measure Data in Orlicz-Sobolev Spaces

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EL MOUMNI Mostafa

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Journal Paper

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Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2019 | Volume:14 | Issue:1 Page(s): 95-119

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Title

Renormalized Solutions of Strongly Nonlinear Elliptic Problems with Lower Order Terms and Measure Data in Orlicz-Sobolev Spaces

Author(s)

EL MOUMNI Mostafa | Issue Writer Certificate

Keywords

Elliptic equation

Orlicz-Sobolev spaces

Renormalized solution

Abstract

The purpose of this paper is to prove the existence of a Renormalized solution of perturbed elliptic problems − div (ɑ (x, u, ru) + (u)) + g(x, u, ru) = f − div F, in a bounded open set and u = 0 on @, in the framework of Orlicz-Sobolev spaces without any restriction on the M N-function of the Orlicz spaces, where − div (a(x, u, ru)) is a Leray-Lions operator defined from W1 0 LM( ) into its dual, ϵ C0(R, RN)...

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APA: Copy

EL MOUMNI, Mostafa. (2019). Renormalized Solutions of Strongly Nonlinear Elliptic Problems with Lower Order Terms and Measure Data in Orlicz-Sobolev Spaces. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 14(1), 95-119. SID. https://sid.ir/paper/310484/en

Vancouver: Copy

EL MOUMNI Mostafa. Renormalized Solutions of Strongly Nonlinear Elliptic Problems with Lower Order Terms and Measure Data in Orlicz-Sobolev Spaces. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2019;14(1):95-119. Available from: https://sid.ir/paper/310484/en

IEEE: Copy

Mostafa EL MOUMNI, “Renormalized Solutions of Strongly Nonlinear Elliptic Problems with Lower Order Terms and Measure Data in Orlicz-Sobolev Spaces,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 14, no. 1, pp. 95–119, 2019, [Online]. Available: https://sid.ir/paper/310484/en

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