Combined effects for non-autonomous singular biharmonic problems

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

We study the existence of nontrivial weak solutions for a class of generalized ▫$p(x)$▫-biharmonic equations with singular nonlinearity and Navier boundary condition. The proofs combine variational and topological arguments. The approach developed in this paper allows for the treatment of several classes of singular biharmonic problems with variable growth arising in applied sciences, including the capillarity equation and the mean curvature problem..

• Jezik: Angleški jezik
• Ključne besede: generalized p(x)-biharmonic equation, nonhomogeneous differential operator, variable exponent, singular nonlinearity
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2020
• Št. strani: Str. 2057-2068
• Številčenje: Vol. 13, no. 7
• PID: 20.500.12556/RUL-116615
• UDK: 517.956
• ISSN pri članku: 1937-1632
• DOI: 10.3934/dcdss.2020158
• COBISS.SI-ID: 18816345
• Datum objave v RUL: 29.05.2020

Gradivo je del revije

• Naslov: Discrete and continuous dynamical systems. Series S
• Skrajšan naslov: Discret. contin. dyn. syst., Ser. S
• Založnik: American Institute of Mathematical Sciences
• ISSN: 1937-1632
• COBISS.SI-ID: 16098905