Existence results for nonlinear elliptic problems on fractal domains
Some existence results for a parametric Dirichlet problem defined on the Sierpiński fractal are proved. More precisely, a critical point result for differentiable functionals is exploited in order to prove the existence of a well-determined open interval of positive eigenvalues for which the problem...
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| Format: | Article |
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De Gruyter
2016-02-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2015-0105 |
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doaj-913a8f089bd74392ae1f78b6c14c24b42021-09-06T19:39:54ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2016-02-0151758410.1515/anona-2015-0105Existence results for nonlinear elliptic problems on fractal domainsFerrara Massimiliano0Molica Bisci Giovanni1Repovš Dušan2University of Reggio Calabria and CRIOS University Bocconi of Milan, Via dei Bianchi presso Palazzo Zani, 89127 Reggio Calabria, ItalyDepartment P.A.U., Architecture Faculty, University of Reggio Calabria, 89124 Reggio Calabria, ItalyFaculty of Education, and Faculty of Mathematics and Physics, University of Ljubljana, POB 2964, Ljubljana, Slovenia 1001Some existence results for a parametric Dirichlet problem defined on the Sierpiński fractal are proved. More precisely, a critical point result for differentiable functionals is exploited in order to prove the existence of a well-determined open interval of positive eigenvalues for which the problem admits at least one non-trivial weak solution.https://doi.org/10.1515/anona-2015-0105sierpiński gasketnonlinear elliptic equationdirichlet formweak laplacian35j2028a8035j2535j6047j3049j52 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ferrara Massimiliano Molica Bisci Giovanni Repovš Dušan |
| spellingShingle |
Ferrara Massimiliano Molica Bisci Giovanni Repovš Dušan Existence results for nonlinear elliptic problems on fractal domains Advances in Nonlinear Analysis sierpiński gasket nonlinear elliptic equation dirichlet form weak laplacian 35j20 28a80 35j25 35j60 47j30 49j52 |
| author_facet |
Ferrara Massimiliano Molica Bisci Giovanni Repovš Dušan |
| author_sort |
Ferrara Massimiliano |
| title |
Existence results for nonlinear elliptic problems on fractal domains |
| title_short |
Existence results for nonlinear elliptic problems on fractal domains |
| title_full |
Existence results for nonlinear elliptic problems on fractal domains |
| title_fullStr |
Existence results for nonlinear elliptic problems on fractal domains |
| title_full_unstemmed |
Existence results for nonlinear elliptic problems on fractal domains |
| title_sort |
existence results for nonlinear elliptic problems on fractal domains |
| publisher |
De Gruyter |
| series |
Advances in Nonlinear Analysis |
| issn |
2191-9496 2191-950X |
| publishDate |
2016-02-01 |
| description |
Some existence results for a parametric Dirichlet problem defined on the Sierpiński fractal are proved. More precisely, a critical point result for differentiable functionals is
exploited in order to prove the existence of a well-determined open
interval of positive eigenvalues for which the problem admits at
least one non-trivial weak solution. |
| topic |
sierpiński gasket nonlinear elliptic equation dirichlet form weak laplacian 35j20 28a80 35j25 35j60 47j30 49j52 |
| url |
https://doi.org/10.1515/anona-2015-0105 |
| work_keys_str_mv |
AT ferraramassimiliano existenceresultsfornonlinearellipticproblemsonfractaldomains AT molicabiscigiovanni existenceresultsfornonlinearellipticproblemsonfractaldomains AT repovsdusan existenceresultsfornonlinearellipticproblemsonfractaldomains |
| _version_ |
1717769805620051968 |