A weighted anisotropic variant of the Caffarelli-Kohn-Nirenberg inequality and applications

Bahrouni, Anouar (avtor), Rǎdulescu, Vicenţiu (avtor), Repovš, Dušan (avtor)

We present a weighted version of the Caffarelli-Kohn-Nirenberg inequality in the framework of variable exponents. The combination of this inequality with a variant of the fountain theorem, yields the existence of infinitely many solutions for a class of non-homogeneous problems with Dirichlet boundary condition.

• Jezik: Angleški jezik
• Ključne besede: p(x)-Laplace operator, Caffarelli-Kohn-Nirenberg inequality, multiple solutions, fountain theorem
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2018
• Št. strani: Str. 1516-1534
• Številčenje: Vol. 31, no. 3
• PID: 20.500.12556/RUL-109335
• UDK: 517.956.2
• ISSN pri članku: 0951-7715
• DOI: 10.1088/1361-6544/aaa5dd
• COBISS.SI-ID: 18282329
• Datum objave v RUL: 30.08.2019

Gradivo je del revije

• Naslov: Nonlinearity
• Skrajšan naslov: Nonlinearity
• Založnik: IOP Pub.
• ISSN: 0951-7715
• COBISS.SI-ID: 28749569