Weak solutions for generalized p-Laplacian systems via Young measures-Reference-Cited by-同舟云学术

Weak solutions for generalized p-Laplacian systems via Young measures

Published:2018-12-01 Issue:2 Volume:4 Page:77-84
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Azroul Elhoussine¹,Balaadich Farah¹

Affiliation:

1. Department of Mathematics, Faculty of Sciences Dhar El Mehraz, B.P. 1796 Atlas, Fez - Morocco .

Abstract

Abstract We prove the existence of weak solutions to a generalized p-Laplacian systems in degenerate form. The techniques of Young measure for elliptic systems are used to prove the existence result.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Reference13 articles.

1. 1. A. Abassi, A. El Hachimi, A. Jamea, Entropy solutions to nonlinear Neumann problems with L1-data, Int. J. Math. Statist. 2 (2008) 4-17.

2. 2. J. M. Ball, A version of the fundamental theorem for Young measures. In: PDEs and Continuum Models of Phase Transitions (Nice, 1988). Lecture Notes in Phys, 344 (1989) 207-215.

3. 3. D. Breit, A. Cianchi, L. Diening, T. Kuusi, S. Schwarzaker, The p-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates, Nonlinear Analysis: Theory, Methods & Applications, 115(2017) 200–212.

4. 4. E. DiBenedetto, J. Manfredi, On the Higher Integrability of the Gradient of Weak Solutions of Certain Degenerate Elliptic Systems, American Journal of Mathematics, 115 (5) (1993) 1107-1134.

5. 5. G. Dolzmann, N. Hungerbühler, S. Müller, Nonlinear elliptic systems with measure valued right hand side. Math. Z, 226 (1997) 545-574.

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