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EnglishWe derive the existence of infinitely many solutions for an elliptic problem involving both the p(x)-biharmonic and the p(x)-Laplacian operators under Navier boundary conditions. Our approach is of variational nature and does not require any symmetry of the nonlinearities. Instead, a crucial role is played by suitable test functions in some variable exponent Sobolev space, of which we provide the abstract structure better suited to the framework.
| Titolo: | Sequences of weak solutions for a Navier problem driven by the p(x)-biharmonic operator |
| Autori: | VILASI, Luca (Ultimo) |
| Data di pubblicazione: | 2019 |
| Rivista: | |
| Abstract: | We derive the existence of infinitely many solutions for an elliptic problem involving both the p(x)-biharmonic and the p(x)-Laplacian operators under Navier boundary conditions. Our approach is of variational nature and does not require any symmetry of the nonlinearities. Instead, a crucial role is played by suitable test functions in some variable exponent Sobolev space, of which we provide the abstract structure better suited to the framework. |
| Handle: | http://hdl.handle.net/11570/3150901 |
| Appare nelle tipologie: | 14.a.1 Articolo su rivista |
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http://hdl.handle.net/11570/3150901
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