Existence and nonexistence of solutions for ▫$p(x)$▫-curl systems arising in electromagnetism

Bahrouni, Anouar (author), Repovš, Dušan (author)

In this paper, we study the existence and the nonexistence of solutions for a new class of ▫$p(x)$▫-curl systems arising in electromagnetism. This work generalizes some results obtained in the ▫$p$▫- curl case. There seems to be no results on the nonexistence of solutions for curl systems with variable exponent.

• Language: English
• Keywords: partial differential equations, p(x)-Curl systems, nonexistence of solutions, critical point theory, electromagnetism
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2018
• Number of pages: Str. 292-301
• Numbering: Vol. 63, iss. 2
• PID: 20.500.12556/RUL-108799
• UDC: 517.956.2
• ISSN on article: 1747-6933
• DOI: 10.1080/17476933.2017.1304390
• COBISS.SI-ID: 18025561
• Publication date in RUL: 26.07.2019

Record is a part of a journal

• Title: Complex variables and elliptic equations
• Publisher: Taylor & Francis
• ISSN: 1747-6933
• COBISS.SI-ID: 513019929