Nonlinear elliptic problems involving the generalized p(u)-Laplacian operator with Fourier boundary condition
| Autor: | Said Ait Temghart, Chakir Allalou, Khalid Hilal |
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| Jazyk: | English<br />Portuguese |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Boletim da Sociedade Paranaense de Matemática, Vol 41 (2022) |
| Druh dokumentu: | article |
| ISSN: | 0037-8712 2175-1188 |
| DOI: | 10.5269/bspm.62948 |
| Popis: | This paper considers the existence of entropy solutions for some generalized elliptic p(u)-Laplacian problem with Fourier boundary conditions, when the variable exponent p is a real continuous function and we have dependency on the solution u. We get the results by assuming the right-hand side function f to be an integrable function, and by using the regularization approach combined with the theory of Sobolev spaces with variable exponents. |
| Databáze: | Directory of Open Access Journals |
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