Combined effects for non-autonomous singular biharmonic problems

Rǎdulescu, Vicenţiu (author), Repovš, Dušan (author)

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..

• Language: English
• Keywords: generalized p(x)-biharmonic equation, nonhomogeneous differential operator, variable exponent, singular nonlinearity
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2020
• Number of pages: Str. 2057-2068
• Numbering: Vol. 13, no. 7
• PID: 20.500.12556/RUL-116615
• UDC: 517.956
• ISSN on article: 1937-1632
• DOI: 10.3934/dcdss.2020158
• COBISS.SI-ID: 18816345
• Publication date in RUL: 29.05.2020

Record is a part of a journal

• Title: Discrete and continuous dynamical systems. Series S
• Shortened title: Discret. contin. dyn. syst., Ser. S
• Publisher: American Institute of Mathematical Sciences
• ISSN: 1937-1632
• COBISS.SI-ID: 16098905