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

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

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摘要

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.

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    MAIS Laboratory AMNEA Group FST Errachidia Moulay Isma?l University of Meknès P.O. Box: 509 Boutalamine 52000 Errachidia;

    Department of Mathematics COMSATS University Islamabad Abbottabad Campus Abbottabad 22060 Khyber Pakhtunkhwa;

    Department of Mathematics Shaheed Benazir Bhutto Women University Peshawar 25000 Khyber PakhtunkhwaDepartment of Mathematics Faculty of Exact Sciences and Computer Science Hassiba Benbouali University ChlefSchool of Management Science and Engineering Anhui University of Finance and Economics Bengbu 233030Laboratory LAMAI Faculty of Sciences and Technologies Cadi Ayyad University MarrakeshMAIS Laboratory MAMCS Group FST Errachidia Moulay Isma?l University of Meknès P.O. Box: 509 Boutalamine 52000 Errachidia;

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