Weak Solutions to a Landau–Lifshitz Equation with a <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>p</mi> </math>-Laplacian Operator as an Exchange Field-Reference-Cited by-同舟云学术

Weak Solutions to a Landau–Lifshitz Equation with a $p$ -Laplacian Operator as an Exchange Field

Author:

Men Xiuping¹^ORCID,Ayouch Chahid²^ORCID,Tilioua M.³^ORCID,Sidi Ammi M. R.⁴^ORCID,Zeb Anwar⁵^ORCID,Sehra ⁶^ORCID,Djilali Salih⁷^ORCID

Affiliation:

1. School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, China

2. Laboratory LAMAI, Faculty of Sciences and Technologies, Cadi Ayyad University, Marrakesh, Morocco

3. MAIS Laboratory, MAMCS Group, FST Errachidia, Moulay Ismaïl University of Meknès, P.O. Box: 509, Boutalamine 52000, Errachidia, Morocco

4. MAIS Laboratory, AMNEA Group, FST Errachidia, Moulay Ismaïl University of Meknès, P.O. Box: 509, Boutalamine 52000, Errachidia, Morocco

5. Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Khyber Pakhtunkhwa, Pakistan

6. Department of Mathematics, Shaheed Benazir Bhutto Women University, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan

7. Department of Mathematics, Faculty of Exact Sciences and Computer Science, Hassiba Benbouali University, Chlef, Algeria

Abstract

We are dealing with the classical Landau–Lifshitz equation with an unusual exchange field expressed in terms of a

p

-Laplacian operator for

p

greater than 2. We obtain weak solutions to the model by using penalization, compactness arguments, and monotonicity method.

Funder

Anhui University of Finance and Economics

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

Reference31 articles.