Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4958749 | Computers & Mathematics with Applications | 2016 | 11 Pages |
Abstract
The study of fourth order partial differential equations has flourished in the last years, however, a p(â
)-biharmonic problem with no-flux boundary condition has never been considered before, not even for constant p. This is an important step further, since surfaces that are impermeable to some contaminants are appearing quite often in nature, hence the significance of such boundary condition. By relying on several variational arguments, we obtain the existence and the multiplicity of weak solutions to our problem. We point out that, although we use a mountain pass type theorem in order to establish the multiplicity result, we do not impose an Ambrosetti-Rabinowitz type condition, nor a symmetry condition, on our nonlinearity f.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Maria-Magdalena Boureanu, VicenÅ£iu RÄdulescu, DuÅ¡an RepovÅ¡,