On the limiting regularity result of some nonlinear elliptic equations

M. Kbiri Alaoui; D. Meskine; A. Souissi

doi:10.4171/ZAA/1335

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On the limiting regularity result of some nonlinear elliptic equations

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On the limiting regularity result of some nonlinear elliptic equations

M. Kbiri Alaoui, D. Meskine and A. Souissi

Zeitschrift für Analysis und ihre Anwendungen, Vol.26(4), pp.459-466

01/01/2007

DOI: https://doi.org/10.4171/ZAA/1335

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

We shall prove the limiting regularity W-0(1, N(p-1)/n-1)(Omega) of solutions of some nonlinear elliptic problems with right hand side in LLog(alpha)L(Omega) and alpha >= N-1/N. Also, an improved regularity is given when alpha < N-1/N.

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Title: On the limiting regularity result of some nonlinear elliptic equations
Creators - without role: M. Kbiri Alaoui - Ecole Mohammadia Ingn, LERMA, Rabat, Morocco
D. Meskine - Ecole Super Technol Essaouira, Essaouira, Morocco
A. Souissi - GAN, Fac Sci, Dept Math & Informat, Rabat, Morocco
Publication Details: Zeitschrift für Analysis und ihre Anwendungen, Vol.26(4), pp.459-466
Publisher: European Mathematical Soc
Number of pages: 8
Identifiers: 9922655608331
Academic Unit: King Khalid University
Language: English
Resource Type: Journal article