Published May 4, 2020 | Version v1
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Existence of Positive Weak Solutions for a New Class of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mfenced open="(" close=")" separators="|"><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math> Laplacian Nonlinear Elliptic System with Sign-Changing Weights

Creators

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

Description

In this paper, by using subsuper solutions method, we study the existence of weak positive solutions for a new class of p,q Laplacian nonlinear elliptic system in bounded domains, when ax, bx,αx, and βx are sign-changing functions that maybe negative near the boundary, without assuming sign conditions on f0,g0,h0, and γ0.

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

Translated Description (Arabic)

في هذه الورقة، باستخدام طريقة الحلول الخارقة، ندرس وجود حلول إيجابية ضعيفة لفئة جديدة من النظام الإهليلجي غير الخطي p و q Laplacian في المجالات المحدودة، عندما تكون ax و bx و αx و βx وظائف لتغيير العلامات ربما تكون سلبية بالقرب من الحدود، دون افتراض شروط الإشارة على f0 و g0 و h0 و γ0.

Translated Description (French)

Dans cet article, en utilisant la méthode des sous-super-solutions, nous étudions l'existence de solutions positives faibles pour une nouvelle classe de système elliptique non-linéaire laplacien p,q dans des domaines bornés, lorsque a x, b x ,α x et β x sont des fonctions de changement de signe qui peuvent être négatives près de la frontière, sans supposer de conditions de signe sur f0,g 0, h0 et γ0.

Translated Description (Spanish)

En este artículo, mediante el uso del método de soluciones subsuper, estudiamos la existencia de soluciones positivas débiles para una nueva clase de sistema elíptico no lineal laplaciano p,q en dominios acotados, cuando a x, bx,αx y βx son funciones de cambio de signo que pueden ser negativas cerca del límite, sin asumir condiciones de signo en f0,g 0,h0 y γ0.

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Additional details

Additional titles

Translated title (Arabic)
وجود حلول ضعيفة إيجابية لفئة جديدة من نظام <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mfenced open="(" close=")" separators="|"><mml:mrow><mml:mi></mml:mi><mml:mo></mml:mo><mml:mi></mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math> بيضاوي غير خطي لابلاسيان مع أوزان متغيرة للعلامات
Translated title (French)
Existence de solutions faibles positives pour une nouvelle classe de système elliptique non-linéaire laplacien <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mfenced open="(" close=")" separators="|"><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math> avec des poids changeant de signe
Translated title (Spanish)
Existencia de soluciones débiles positivas para una nueva clase de sistema elíptico no lineal laplaciano <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mfenced open="(" close=")" separators="|"><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math> con pesos que cambian de signo

Identifiers

Other
https://openalex.org/W3023852984
DOI
10.1155/2020/5302513

Is supplement to
https://openalex.org/W2748952813 (Other)
https://openalex.org/W2530322880 (Other)
https://openalex.org/W2390279801 (Other)
https://openalex.org/W2382290278 (Other)
https://openalex.org/W2376932109 (Other)
https://openalex.org/W2358668433 (Other)
https://openalex.org/W2350741829 (Other)
https://openalex.org/W2073681303 (Other)
https://openalex.org/W2051487156 (Other)
https://openalex.org/W2001405890 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Algeria

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