Published March 31, 2020 | Version v1
Publication Open

Existence of Weak Solutions for a New Class of Fractional p-Laplacian Boundary Value Systems

Creators

  • 1. Université Larbi Tébessi
  • 2. Qassim University
  • 3. Université Oran 1 Ahmed Ben Bella

Description

In this paper, at least three weak solutions were obtained for a new class of dual non-linear dual-Laplace systems according to two parameters by using variational methods combined with a critical point theory due to Bonano and Marano. Two examples are given to illustrate our main results applications.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

في هذه الورقة، تم الحصول على ثلاثة حلول ضعيفة على الأقل لفئة جديدة من أنظمة لابلاس المزدوجة غير الخطية وفقًا لمعلمتين باستخدام طرق متباينة جنبًا إلى جنب مع نظرية النقطة الحرجة بسبب بونانو ومارانو. تم تقديم مثالين لتوضيح تطبيقات النتائج الرئيسية لدينا.

Translated Description (French)

Dans cet article, au moins trois solutions faibles ont été obtenues pour une nouvelle classe de systèmes dual-Laplace non linéaires doubles selon deux paramètres en utilisant des méthodes variationnelles combinées à une théorie des points critiques due à Bonano et Marano. Deux exemples sont donnés pour illustrer nos principales applications de résultats.

Translated Description (Spanish)

En este artículo, se obtuvieron al menos tres soluciones débiles para una nueva clase de sistemas duales no lineales de doble Laplace de acuerdo con dos parámetros mediante el uso de métodos variacionales combinados con una teoría de puntos críticos debido a Bonano y Marano. Se dan dos ejemplos para ilustrar nuestras principales aplicaciones de resultados.

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Additional details

Additional titles

Translated title (Arabic)
وجود حلول ضعيفة لفئة جديدة من أنظمة القيمة الحدودية الجزئية في لابلاسيان
Translated title (French)
Existence de solutions faibles pour une nouvelle classe de systèmes fractionnaires de valeurs limites p-laplaciennes
Translated title (Spanish)
Existencia de soluciones débiles para una nueva clase de sistemas de valores de límites p-laplacianos fraccionarios

Identifiers

Other
https://openalex.org/W3014887702
DOI
10.3390/math8040475

Is supplement to
https://openalex.org/W4324376164 (Other)
https://openalex.org/W4256106892 (Other)
https://openalex.org/W2945509873 (Other)
https://openalex.org/W2533318087 (Other)
https://openalex.org/W2372376956 (Other)
https://openalex.org/W2362824921 (Other)
https://openalex.org/W2262803649 (Other)
https://openalex.org/W2069785443 (Other)
https://openalex.org/W2069784381 (Other)
https://openalex.org/W2039327924 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Algeria

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