Vicenţiu Rǎdulescu (Author), Dušan Repovš (Author)

Abstract

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.

Keywords

generalized p(x)-biharmonic equation;nonhomogeneous differential operator;variable exponent;singular nonlinearity;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 517.956
COBISS: 18816345 Link will open in a new window
ISSN: 1937-1632
Views: 459
Downloads: 203
Average score: 0 (0 votes)
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Other data

Type (COBISS): Article
Pages: str. 2057-2068
Volume: ǂVol. ǂ13
Issue: ǂno. ǂ7
Chronology: July 2020
DOI: 10.3934/dcdss.2020158
ID: 11763914